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Wyświetlanie 1-15 z 33
Tytuł:
Stochastic controllability of systems with multiple delays in control
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/907857.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowalność
liniowy system sterowania
sterowalność stochastyczna
sterowanie opóźnione
controllability
linear control systems
stochastic control systems
delayed controls
multiple delays
Opis:
Finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with multiple point delays in control are considered. Using the notation, theorems and methods used for deterministic controllability problems for linear dynamic systems with delays in control as well as necessary and sufficient conditions for various kinds of stochastic relative controllability in a given time interval are formulated and proved. It will be proved that, under suitable assumptions, relative controllability of an associated deterministic linear dynamic system is equivalent to stochastic relative exact controllability and stochastic relative approximate controllability of the original linear stochastic dynamic system. As a special case, relative stochastic controllability of dynamic systems with a single point delay is also considered. Some remarks and comments on the existing results for stochastic controllability of linear dynamic systems are also presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 39-47
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic controllability of linear systems with state delays
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/911240.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowalność
liniowy system sterowania
sterowanie z minimalną energią
controllability
linear control systems
stochastic control systems
delayed state variables
minimum energy control
Opis:
A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated and proved. It will be demonstrated that under suitable assumptions the relative controllability of an associated deterministic linear dynamic system is equivalent to the stochastic relative exact controllability and the stochastic relative approximate controllability of the original linear stochastic dynamic system. Some remarks and comments on the existing results for the controllability of linear dynamic systems with delays are also presented. Finally, a minimum energy control problem for a stochastic dynamic system is formulated and solved.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 5-13
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of linear feedback for bilinear control systems
Autorzy:
Belozyorov, V. Y.
Powiązania:
https://bibliotekanauki.pl/articles/908500.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
system of ordinary quadratic differential equations
bilinear control system
linear control law
cone of stability
feedback
closed-loop system
Opis:
Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 493-511
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
Autorzy:
Przyłuski, K. M.
Powiązania:
https://bibliotekanauki.pl/articles/329937.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
minimum norm problem
linear quadratic control
linear quadratic economie
controllability
optimal control
sterowanie liniowo-kwadratowe
sterowalność
sterowanie optymalne
Opis:
In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 723-733
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic Algorithm for Linear Quadratic Gaussian Predictive Control
Autorzy:
Ordys, A. W.
Hangstrup, M. E.
Grimble, M. J.
Powiązania:
https://bibliotekanauki.pl/articles/911167.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przestrzeń fazowa
sterowanie wielowymiarowe
sterowanie predykcyjne
state-space design
multivariable control
linear quadratic Gaussian predictive control
generalized predictive control
Opis:
In this paper, the optimal control law is derived for a multi-variable state-space Linear Quadratic Gaussian Predictive Controller (LQGPC). A dynamic performance index is utilized resulting in an optimal steady-state controller. Knowledge of future reference values is incorporated into the controller design and the solution is derived using the method of Lagrange multipliers. It is shown how the well-known GPC controller can be obtained as a special case of the LQGPC controller design. The important advantage of using the LQGPC framework for designing predictive controllers is that, based on stabilizing properties of LQG control, it enables a systematic approach to selection of the design parameters to yield a stable closed-loop system. The system model considered in this paper can be further extended toalso include direct feed-through and knowledge about future external inputs.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 227-244
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new efficient adaptive control of torsional vibrations induced by switched nonlinear disturbances
Autorzy:
Wasilewski, Maciej
Pisarski, Dominik
Konowrocki, Robert
Bajer, Czesław I.
Powiązania:
https://bibliotekanauki.pl/articles/330002.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
vibration control
adaptive control
linear quadratic regulator
drilling control
sterowanie drganiami
sterowanie adaptacyjne
regulator liniowo-kwadratowy
Opis:
Torsional vibrations induced in drilling systems are detrimental to the condition of the machine and to the effectiveness of the engineering process. The cause of vibrations is a nonlinear and unknown friction between a drill string and the environment, containing jumps in its characteristics. Nonlinear behaviour of the friction coefficient results in self-excited vibration and causes undesirable stick-slip oscillations. The aim of this paper is to present a novel adaptive technique of controlling vibrating systems. The scheme is based on the linear quadratic regulator and uses direct measurements of the friction torque to synthesize its linear dynamic approximation. This approach allows generating a control law that takes into account the impact of the friction on the system dynamics and optimally steers the system to the desired trajectory. The controller’s performance is examined via numerical simulations of the stabilization of the drilling system. The proposed solution outperforms the comparative LQG regulator in terms of the minimization of the assumed cost functional and the overall stability of the control system under the nonlinear disturbance.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 285-303
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust quasi-LPV model reference FTC of a quadrotor UAV subject to actuator faults
Autorzy:
Rotondo, D.
Nejjari, F.
Puig, V.
Powiązania:
https://bibliotekanauki.pl/articles/331147.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear parameter varying systems
fault tolerant control
quadrotor
model reference based control
linear matrix inequalities
układ liniowy niestacjonarny
sterowanie tolerujące uszkodzenia
liniowe nierówności macierzowe
Opis:
A solution for fault tolerant control (FTC) of a quadrotor unmanned aerial vehicle (UAV) is proposed. It relies on model reference-based control, where a reference model generates the desired trajectory. Depending on the type of reference model used for generating the reference trajectory, and on the assumptions about the availability and uncertainty of fault estimation, different error models are obtained. These error models are suitable for passive FTC, active FTC and hybrid FTC, the latter being able to merge the benefits of active and passive FTC while reducing their respective drawbacks. The controller is generated using results from the robust linear parameter varying (LPV) polytopic framework, where the vector of varying parameters is used to schedule between uncertain linear time invariant (LTI) systems. The design procedure relies on solving a set of linear matrix inequalities (LMIs) in order to achieve regional pole placement and H∞ norm bounding constraints. Simulation results are used to compare the different FTC strategies.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 1; 7-22
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A fault tolerant direct control allocation scheme with integral sliding modes
Autorzy:
Hamayun, M. T.
Edwards, C.
Alwi, H.
Bajodah, A.
Powiązania:
https://bibliotekanauki.pl/articles/330832.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault tolerant control
integral sliding mode control
linear matrix inequalities
sterowanie tolerujące uszkodzenia
sterowanie ślizgowe
liniowe nierówności macierzowe
Opis:
In this paper, integral sliding mode control ideas are combined with direct control allocation in order to create a fault tolerant control scheme. Traditional integral sliding mode control can directly handle actuator faults; however, it cannot do so with actuator failures. Therefore, a mechanism needs to be adopted to distribute the control effort amongst the remaining functioning actuators in cases of faults or failures, so that an acceptable level of closed-loop performance can be retained. This paper considers the possibility of introducing fault tolerance even if fault or failure information is not provided to the control strategy. To demonstrate the efficacy of the proposed scheme, a high fidelity nonlinear model of a large civil aircraft is considered in the simulations in the presence of wind, gusts and sensor noise.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 1; 93-102
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:
On the discrete time-varying JLQG problem
Autorzy:
Czornik, A.
Świerniak, A.
Powiązania:
https://bibliotekanauki.pl/articles/907993.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
jump linear systems
optimal control
time-varying systems
coupled Riccati equations
Opis:
In the present paper optimal time-invariant state feedback controllers are designed for a class of discrete time-varying control systems with Markov jumping parameter and quadratic performance index. We assume that the coefficients have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Moreover, following the same line of reasoning, an adaptive controller is proposed in the case when system parameters are unknown but their strongly consistent estimators are available.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 203-207
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Event-based feedforward control of linear systems with input time-delay
Autorzy:
Rodríguez, Carlos
Aranda-Escolástico, Ernesto
Guinaldo, Maria
Guzmán, José Luis
Dormido, Sebastián
Powiązania:
https://bibliotekanauki.pl/articles/330326.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
time delay system
linear system
process control
control system design
układ z opóźnieniem
układ liniowy
sterowanie procesem
układ regulacji
Opis:
This paper proposes a new method for the analysis of continuous and periodic event-based state-feedback plus static feedforward controllers that regulate linear time invariant systems with time delays. Measurable disturbances are used in both the control law and triggering condition to provide better disturbance attenuation. Asymptotic stability and L2-gain disturbance rejection problems are addressed by means of Lyapunov–Krasovskii functionals, leading to performance conditions that are expressed in terms of linear matrix inequalities. The proposed controller offers better disturbance rejection and a reduction in the number of transmissions with respect to other robust event-triggered controllers in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 541-553
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Supervisory fault tolerant control of the GTM UAV using LPV methods
Autorzy:
Péni, T.
Vanek, B.
Szabó, Z.
Bokor, J.
Powiązania:
https://bibliotekanauki.pl/articles/330070.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault tolerant control
linear parameter varying systems
supervisory architecture
flight control
sterowanie tolerujące uszkodzenia
układ liniowy niestacjonarny
sterowanie lotem
Opis:
A multi-level reconfiguration framework is proposed for fault tolerant control of over-actuated aerial vehicles, where the levels indicate how much authority is given to the reconfiguration task. On the lowest, first level the fault is accommodated by modifying only the actuator/sensor configuration, so the fault remains hidden from the baseline controller. A dynamic reallocation scheme is applied on this level. The allocation mechanism exploits the actuator/sensor redundancy available on the aircraft. When the fault cannot be managed at the actuator/sensor level, the reconfiguration process has access to the baseline controller. Based on the LPV control framework, this is done by introducing fault-specific scheduling parameters. The baseline controller is designed to provide an acceptable performance level along all fault scenarios coded in these scheduling variables. The decision on which reconfiguration level has to be initiated in response to a fault is determined by a supervisor unit. The method is demonstrated on a full six-degrees-of-freedom nonlinear simulation model of the GTM UAV.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 1; 117-131
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Proper feedback compensators for a strictly proper plant by polynomial equations
Autorzy:
Callier, F. M.
Kraffer, F.
Powiązania:
https://bibliotekanauki.pl/articles/908450.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
liniowy układ stacjonarny
sprzężenie zwrotne
macierz wielomianowa
równanie wielomianowe
linear time-invariant feedback control systems
polynomial matrix systems
row-column-reduced polynomial matrices
feedback compensator design
flexible belt device
Opis:
We review the polynomial matrix compensator equation XlDr + YlNr = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (Nr,Dr) is given by the strictly proper rational plant right matrix-fraction P = NrD-1 r , (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (Xl, Yl) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction C = X-1 l Yl. We recall first the class of all polynomial matrix pairs (Xl, Yl) solving (COMP) and then single out those pairs which result in a proper rational compensator. An important role is hereby played by the assumptions that (a) the plant denominator Dr is column-reduced, and (b) the closed-loop characteristic matrix Dk is row-column-reduced, e.g., monically diagonally degree-dominant. This allows us to get all solution pairs (Xl, Yl) giving a proper compensator with a row-reduced denominator Xl having (sufficiently large) row degrees prescribed a priori. Two examples enhance the tutorial value of the paper, revealing also a novel computational method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 493-507
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive control through on-line optimization. The MPCI paradigm and variants
Autorzy:
Nikolaou, M.
Eker, S. A.
Powiązania:
https://bibliotekanauki.pl/articles/908314.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie adaptacyjne
sterowanie predykcyjne
wzbudzanie trwałe
adaptive control
model predictive control
closed-loop identification
persistent excitation
linear matrix inequalities
semidefinite programming
Opis:
A new variant of Model Predictive Control and Identification (MPCI) is proposed. The on-line objective is not to minimize the sum of square errors, but to maximize on-line the sum of the lower bounds on the minimum eigenvalues of the information matrices over finite horizons. In that way, inputs to the controlled process are allowed to excite the process highly enough to generate as much modelling information as possible, while the process goes off-spec as little as possible. Constraints can be loosened or tightened according to the need for identification. The effectiveness of the proposed new methodology is illustrated through a number of simulations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 1; 25-52
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A linear programming methodology for approximate dynamic programming
Autorzy:
Díaz, Henry
Sala, Antonio
Armesto, Leopoldo
Powiązania:
https://bibliotekanauki.pl/articles/330082.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear programming
approximate dynamic programming
control applications
neural network
programowanie liniowe
programowanie dynamiczne
sieć neuronowa
Opis:
The linear programming (LP) approach to solve the Bellman equation in dynamic programming is a well-known option for finite state and input spaces to obtain an exact solution. However, with function approximation or continuous state spaces, refinements are necessary. This paper presents a methodology to make approximate dynamic programming via LP work in practical control applications with continuous state and input spaces. There are some guidelines on data and regressor choices needed to obtain meaningful and well-conditioned value function estimates. The work discusses the introduction of terminal ingredients and computation of lower and upper bounds of the value function. An experimental inverted-pendulum application will be used to illustrate the proposal and carry out a suitable comparative analysis with alternative options in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 2; 363-375
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 33

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