Extended dissipative anti-disturbance control for delayed switched singular semi-Markovian jump systems with multi-disturbance via disturbance observer

Ding, Kui; Zhu, Quanxin

doi:10.1016/j.automatica.2021.109556

Cited by 135 publications

(61 citation statements)

References 26 publications

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“…Then, (1) all trajectories of the closed-loop system (8) are bounded for all initial conditions satisfying V 𝜎(0) (0) ≤ 1∕𝜛 − 𝛿 and all non-zero disturbances satisfying (2); ( 2) the H ∞ performance constraint (12) is guaranteed; (3) the system ( 8) is asymptotically stable for all initial conditions satisfying V 𝜎(0) (0) ≤ 1∕𝜛 in the absence of disturbances.…”

Section: Resultsmentioning

confidence: 99%

“…For this example, applying Theorem 1 with Āc i ≜ Āc , B Meanwhile, it follows that the scalars 𝜌 1 and 𝜌 2 involved in the set 𝒳 𝜌 satisfy 0.0020𝜌 2 1 + 4.8148 × 10 −5 𝜌 2 2 ≤ 1. In Figures 2 and 3, we plot the state evolutions by using the above obtained controller gains, where the time delay 𝜏(k) is randomly generated within [1,3]. In Figure 2 The system state x(k)…”

Section: Numerical Examplesmentioning

confidence: 99%

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Dynamic output‐feedback control for discrete time‐delayed systems with actuator saturations under round‐robin communication protocol

Chen

Wang

Alsaadi

et al. 2021

Intl J Robust & Nonlinear

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In this article, the dynamic output-feedback H ∞ control problem is investigated for discrete-time state-delay systems subject to exogenous disturbances and actuator saturations under the round-robin communication protocol. Using the switched system approach, the Lyapunov-Krasovskii functional and the modified sector condition, sufficient conditions are first obtained under which the closed-loop systems can achieve some desirable performance indices such as the boundedness, the H ∞ performance and the stability in the absence of disturbances. Then, the controller is explicitly characterized by means of the solvability of linear matrix inequalities. For the case without time delays, the corresponding conditions are also presented. Subsequently, the optimization problems about the performance indices are discussed. Finally, the benefit and effectiveness of the proposed results are specifically illustrated via two simulation examples.

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Section: Resultsmentioning

confidence: 99%

Section: Numerical Examplesmentioning

confidence: 99%

Dynamic output‐feedback control for discrete time‐delayed systems with actuator saturations under round‐robin communication protocol

Chen

Wang

Alsaadi

et al. 2021

Intl J Robust & Nonlinear

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“…[3] addressed the stochastically exponential synchronization problem for one class of neural networks with time‐varying delays and Markov jump parameters. Ding and Zhu [4] investigated the issues on extended dissipative anti‐disturbance control for switched singular semi‐Markovian jump systems with multiple disturbance and time‐delay via disturbance observer, and an optimization algorithm to constrain control gain was developed to reduce control cost in practice to some extent. Cheng et al.…”

Section: Introductionmentioning

confidence: 99%

“…Shu et al [3] addressed the stochastically exponential synchronization problem for one class of neural networks with time-varying delays and Markov jump parameters. Ding and Zhu [4] investigated the issues on extended dissipative anti-disturbance control for switched singular semi-Markovian jump systems with multiple disturbance and time-delay via disturbance observer, and an optimization algorithm to constrain control gain was developed to reduce control cost in practice to some extent. Cheng et al [5] discussed the problem of the asynchronous fault detection observer design for 2D Markov jump systems expressed by a Roesser model, and an asynchronous fault detection algorithm is generated to acquire the optimal performance indices.…”

Section: Introductionmentioning

confidence: 99%

H‐infinity fault‐tolerant control for Markov jump system with actuator time delay

Weng

Hou

Hui

et al. 2022

The Journal of Engineering

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This study investigates H-infinity fault-tolerant control for Markov jump systems with actuator time delay. The main objective is to obtain some theorems such that the corresponding Markov jump systems with actuator time delay to be H-infinity stable and with some fault-tolerant performances. First, based on an integral transformation, the Markov jump systems with actuator time delay are described in a system description with a distributed time-delay item. Second, based on utilizing the linear matrix inequality theory, a positive energy functional, which includes a double integral item, is constructed. Then, after some mathematical operations, a sufficient condition is obtained for the Markov jump systems with actuator time delay to be H-infinity stable. If the condition is solvable, faulttolerant controller can be gotten to guarantee the controlled system to be H-infinity stable no matter there are some actuator faults existing in the system or not. Finally, examples are given to show the usefulness of the obtained theorem.

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“…Wang and Zhu provide stability analysis for continuous 48 and discrete‐time 49 S‐MJSs; Mu and Hu provide stability analysis for singular S‐MJSs 8 and for S‐MJSs with asynchronously impulsive jumps 21 . Ding and Zhu 50 design anti‐disturbance control for delayed singular S‐MJSs. Wang et al 51 considers fuzzy‐model‐based l 2 ‐ l ∞ filtering discrete‐time S‐MJSs using semi‐Markov kernel, Shen et al 52 gives observer‐based l 2 ‐ l ∞ control for singular perturbed S‐MJSs with an improved weighted TOD protocol.…”

Section: Introductionmentioning

confidence: 99%

Finite time extended dissipative control for a class of linear neutral semi‐Markovian jumping systems under event‐triggering scheme

Ding

Cheng

2022

Math Methods in App Sciences

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This article concentrates on finite time extended dissipative issue for neutral semi-Markovian jumping system (S-MJSs) in the framework of event-triggering control (ETC) policy. To begin with, ETC strategy is presented, which can both greatly alleviate communication burden and keep a satisfying closed loop performances. Novel sufficient conditions are moreover expounded to ensure finite time extended dissipative performances of neutral S-MJSs. By adjusting the parameter matrices in the extended dissipative concepts, some relative performance indexes, including L 2 − L ∞ , H ∞ , passivity as well as (Q, S, R)dissipativity performance, could be gotten. An instance is demonstrated in order to verify the presented work being highly effective and correct of the expounded results.

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Extended dissipative anti-disturbance control for delayed switched singular semi-Markovian jump systems with multi-disturbance via disturbance observer

Cited by 135 publications

References 26 publications

Dynamic output‐feedback control for discrete time‐delayed systems with actuator saturations under round‐robin communication protocol

Dynamic output‐feedback control for discrete time‐delayed systems with actuator saturations under round‐robin communication protocol

H‐infinity fault‐tolerant control for Markov jump system with actuator time delay

Finite time extended dissipative control for a class of linear neutral semi‐Markovian jumping systems under event‐triggering scheme

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