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Wyświetlanie 1-15 z 16
Tytuł:
On Delay-Dependent Stability for Neutral Delay-Differential Systems
Autorzy:
Han, Q. L.
Powiązania:
https://bibliotekanauki.pl/articles/908069.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie czasowe
opóźnienie zależne
stability
time delay
neutral system
linear matrix inequality (LMI)
Opis:
This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 965-976
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A matrix inequality based design method for consensus problems in multi-agent systems
Autorzy:
Zhai, G.
Okuno, S.
Imae, J.
Kobayashi, T.
Powiązania:
https://bibliotekanauki.pl/articles/930012.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system wieloagentowy
konsensus
sterowanie zdecentralizowane
nierówność macierzy
LMI
multi-agent systems
consensus
decentralized control
graph Laplacian
matrix inequality
Opis:
In this paper, we study a consensus problem in multi-agent systems, where the entire system is decentralized in the sense that each agent can only obtain information (states or outputs) from its neighbor agents. The existing design methods found in the literature are mostly based on a graph Laplacian of the graph which describes the interconnection structure among the agents, and such methods cannot deal with complicated control specification. For this purpose, we propose to reduce the consensus problem at hand to the solving of a strict matrix inequality with respect to a Lyapunov matrix and a controller gain matrix, and we propose two algorithms for solving the matrix inequality. It turns out that this method includes the existing Laplacian based method as a special case and can deal with various additional control requirements such as the convergence rate and actuator constraints.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 639-646
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized static output feedback controller design for linear interconnected systems
Autorzy:
Fadhilah, Helisyah Nur
Adzkiya, Dieky
Arif, Didik Khusnul
Zhai, Guisheng
Mardlijah
Powiązania:
https://bibliotekanauki.pl/articles/2201019.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
output feedback
decentralized controller
homotopy method
interconnected system
matrix inequality
sprzężenie zwrotne
kontroler zdecentralizowany
metoda homotopii
system połączony
nierówność macierzowa
Opis:
Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 1; 83--96
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
Autorzy:
Balasubramaniam, P.
Lakshmanan, S.
Rakkiyappan, R.
Powiązania:
https://bibliotekanauki.pl/articles/331417.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie zależne
liniowa nierówność macierzowa
system stochastyczny
stabilność odporna
delay-dependent stability
linear matrix inequality
Lyapunov-Krasovskii functional
stochastic systems
Opis:
This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 339-351
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fault-tolerant control strategy for actuator faults using LPV techniques: application to a two degree of freedom helicopter
Autorzy:
Montes de Oca, S.
Puig, V.
Witczak, M.
Dziekan, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/331468.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie tolerujące uszkodzenia
układ liniowy niestacjonarny
liniowa nierówność macierzowa
fault tolerant control
linear parameter varying
virtual actuator
linear matrix inequality
Opis:
In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as a kind of virtual actuator. An integrated FTC design procedure for the fault identification and fault-tolerant control schemes using LPV techniques is provided as well. Fault identification is based on the use of an Unknown Input Observer (UIO). The FTC controller is implemented as a state feedback controller and designed using polytopic LPV techniques and Linear Matrix Inequality (LMI) regions in such a way as to guarantee the closed-loop behavior in terms of several LMI constraints. To assess the performance of the proposed approach, a two degree of freedom helicopter is used.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 161-171
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An active fault-tolerant control framework against actuator stuck failures under input saturations
Autorzy:
Qi, X.
Theilliol, D.
He, Y.
Han, J.
Powiązania:
https://bibliotekanauki.pl/articles/331084.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault tolerant control
actuator stuck failure
actuator constraints
reference redesign
linear matrix inequality
sterowanie tolerujące uszkodzenia
projekt odniesienia
liniowa nierówność macierzowa
Opis:
In this paper, a control framework including active fault-tolerant control (FTC) and reference redesign is developed subject to actuator stuck failures under input saturations. FTC synthesis and reference redesign approaches are proposed to guarantee post-fault system safety and reference reachability. Then, these features are analyzed under both actuator stuck failures and constraints before fault-tolerant controller switches. As the main contribution, actuator stuck failures and constraints are unified so that they can be easily considered simultaneously. By means of transforming stuck failures into actuator constraints, the post-fault system can be regarded as an equivalent system with only asymmetrical actuator constraints. Thus, methods against actuator saturations can be used to guarantee regional stability and produce the stability region. Based on this region, stuck compensation is analyzed. Specifically, an unstable open-loop system is considered, which is more challenging. Furthermore, the method is extended to a set-point tracking problem where the reachability of the original reference can be evaluated. Then, a new optimal reference will be computed for the post-fault system if the original one is unreachable. Finally, simulation examples are shown to illustrate the theoretical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 4; 749-761
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An LMI-based heuristic algorithm for vertex reduction in LPV systems
Autorzy:
Sanjuan, Adrián
Rotondo, Damiano
Nejjari, Fatiha
Sarrate, Ramon
Powiązania:
https://bibliotekanauki.pl/articles/331436.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear parameter varying
linear matrix inequality
Gershgorin circles
gain scheduling
controller design
układ liniowy niestacjonarny
liniowa nierówność macierzowa
twierdzenie Gerszgorina
harmonogramowanie wzmocnienia
Opis:
The linear parameter varying (LPV) approach has proved to be suitable for controlling many non-linear systems. However, for those which are highly non-linear and complex, the number of scheduling variables increases rapidly. This fact makes the LPV controller implementation not feasible for many real systems due to memory constraints and computational burden. This paper considers the problem of reducing the total number of LPV controller gains by determining a heuristic methodology that combines two vertices of a polytopic LPV model such that the same gain can be used in both vertices. The proposed algorithm, based on the use of the Gershgorin circles, provides a combinability ranking for the different vertex pairs, which helps in solving the reduction problem in fewer attempts. Simulation examples are provided in order to illustrate the main characteristics of the proposed approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 725-737
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller
Autorzy:
Zhou, L.
She, J.
Zhou, S.
Powiązania:
https://bibliotekanauki.pl/articles/330403.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
repetitive control
dynamic output feedback
two dimensional system
singular value decomposition
linear matrix inequality
sterowanie powtarzalne
sprzężenie zwrotne dynamiczne
system dwuwymiarowy
liniowa nierówność macierzowa
Opis:
This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 325-334
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Delay-dependent generalized H2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays
Autorzy:
Li, J.
Xia, Z.
Powiązania:
https://bibliotekanauki.pl/articles/930162.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system stochastyczny
opóźnienie zależne
liniowa nierówność macierzowa
fuzzy large scale stochastic system
delay-dependent
generalized H2 control
infinite distributed delays
linear matrix inequality
Opis:
This paper is concerned with the problem of stochastic stability and generalized H2 control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi-Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF0 is proposed, in which both the upper and the lower bound of delays are considered. Then, two improved delay-dependent stability conditions are established based on this DDPLKF in terms of Linear Matrix Inequalities (LMIs). The merit of the proposed conditions lies in its reduced conservatism, which is achieved by circumventing the utilization of some bounding inequalities for cross products of two vectors and by considering the interactions among the fuzzy subsystems in each subregion. A decentralized generalized H2 state feedback fuzzy controller is designed for each subsystem. It is shown that the mean-square stability for discrete T-S fuzzy large-scale stochastic systems can be established if a DDPLKF can be constructed and a decentralized controller can be obtained by solving a set of LMIs. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 585-603
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust nonlinear observer design for actuator fault detection in diesel engines
Autorzy:
Boulkroune, B.
Djemili, I.
Aitouche, A.
Cocquempot, V.
Powiązania:
https://bibliotekanauki.pl/articles/330060.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
diesel engine
fault diagnosis
nonlinear unknown input observers
linear matrix inequality (LMI)
silnik Diesla
diagnostyka uszkodzeń
obserwator o nieznanym wejściu
liniowa nierówność macierzowa
Opis:
This paper is concerned with actuator fault detection in nonlinear systems in the presence of disturbances. A nonlinear unknown input observer is designed and the output estimation error is used as a residual for fault detection. To deal with the problem of high Lipschitz constants, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using a modified H-infinity criterion. A sufficient condition for the existence of an unknown input observer is obtained using a linear matrix inequality formula, and the observer gains are obtained by solving the corresponding set of inequalities. The advantages of the proposed method are that no a priori assumption on the unknown input is required and that it can be applied to a large class of nonlinear systems. Performances of the proposed approach are shown through the application to a diesel engine model.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 557-569
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized design of interconnected H infinity feedback control systems with quantized signals
Autorzy:
Zhai, G.
Chen, N.
Gui, W.
Powiązania:
https://bibliotekanauki.pl/articles/331266.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interconnected systems
decentralized H infinity control
dynamic output feedback
quantizer
quantization
matrix inequality
LMI
sprzężenie zwrotne dynamiczne
kwantyzer
kwantowanie
nierówność macierzowa
metoda LMI
Opis:
In this paper, we consider the design of interconnected H infinity feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H infinity disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same H infinity disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 317-325
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system
Autorzy:
Zhou, L.
She, J.
Li, C.
Pan, C.
Powiązania:
https://bibliotekanauki.pl/articles/330015.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
repetitive control
equivalent input disturbance
two dimensional system
singular value decomposition
linear matrix inequality
sterowanie powtarzalne
układ dwuwymiarowy
rozkład na wartości szczególne
liniowa nierówność macierzowa
Opis:
This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 2; 285-295
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of unknown input fractional-order observers for fractional-order systems
Autorzy:
N’Doye, I.
Darouach, M.
Voos, H.
Zasadzinski, M.
Powiązania:
https://bibliotekanauki.pl/articles/330946.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional calculus
fractional order systems
fractional order observers
existence condition
linear matrix inequality
unknown input
stability
ułamkowy rachunek różniczkowy
układ ułamkowego rzędu
liniowa nierówność macierzowa
Opis:
This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the fractional order α belongs to 1 ≤ α < 2 and 0 < α ≤1, respectively. A stability analysis of the fractional-order error system is made and it is shown that the fractional-order observers are as stable as their integer order counterpart and guarantee better convergence of the estimation error.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 491-500
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An LPV pole-placement approach to friction compensation as an FTC problem
Autorzy:
Patton, R. J.
Chen, L.
Klinkhieo, S.
Powiązania:
https://bibliotekanauki.pl/articles/331466.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ liniowy niestacjonarny
detekcja uszkodzeń
diagnostyka uszkodzeń
liniowa nierówność macierzowa
lokowanie biegunów
friction
linear parameter varying
fault detection
fault diagnosis
linear matrix inequality
pole placement
Opis:
The concept of combining robust fault estimation within a controller system to achieve active Fault Tolerant Control (FTC) has been the subject of considerable interest in the recent literature. The current study is motivated by the need to develop model-based FTC schemes for systems that have no unique equilibria and are therefore difficult to linearise. Linear Parameter Varying (LPV) strategies are well suited to model-based control and fault estimation for such systems. This contribution involves pole-placement within suitable LMI regions, guaranteeing both stability and performance of a multi-fault LPV estimator employed within an FTC structure. The proposed design strategy is illustrated using a nonlinear two-link manipulator system with friction forces acting simultaneously at each joint. The friction forces, regarded as a special case of actuator faults, are estimated and their effect is compensated within a polytope controller system, yielding a robust form of active FTC that is easy to apply to real robot systems.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 149-160
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
H-infinity control of discrete-time linear systems constrained in state by equality constraints
Autorzy:
Filasová, A.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/330125.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ dyskretny
liniowa nierówność macierzowa
sprzężenie zwrotne
algorytm sterowania
układ singularny
equality constraints
discrete time systems
linear matrix inequality
state feedback
control algorithms
quadratic stability
singular systems
Opis:
In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discrete-time systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outper forms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 551-560
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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