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    Wyświetlanie 1-8 z 8
    Tytuł:
    On Adaptive Control for the Continuous Time-varying JLQG Problem
    Autorzy:
    Czornik, A.
    Świerniak, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/908494.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    adaptacyjny układ sterowania
    układ niestacjonarny
    time varying systems
    adaptive control
    JLQG problem
    Opis:
    In this paper the adaptive control problem for a continuous infinite time-varying stochastic control system with jumps in parameters and quadratic cost is investigated. It is assumed that the unknown coefficients of the system have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Under these assumptions it is shown that the optimal value of the quadratic cost can be reached based only on the values of these limits, which, in turn, can be estimated through strongly consistent estimators.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 1; 53-62
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/908465.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    wydłużenie
    twierdzenie Cayleya-Hamiltona
    nieliniowość
    układ niestacjonarny
    extension
    Cayley-Hamilton theorem
    nonlinear
    time-varying system
    Opis:
    The classical Cayley-Hamilton theorem is extended to nonlinear time-varying systems with square and rectangular system matrices. It is shown that in both cases system matrices satisfy many equations with coefficients being the coefficients of characteristic polynomials of suitable square matrices. The proposed theorems are illustrated with numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2006, 16, 1; 141-145
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials
    Autorzy:
    Sánchez, Marcelino
    Bernal, Miguel
    Powiązania:
    https://bibliotekanauki.pl/articles/330548.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    robust control
    uncertain system
    nonlinear system
    linear parameter-varying systems
    LMIs
    sterowanie odporne
    układ niepewny
    układ nieliniowy
    układ liniowy niestacjonarny
    Opis:
    This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover, the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 275-283
    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:
    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 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:
    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:
    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
      Wyświetlanie 1-8 z 8

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