Admissibility analysis for discrete-time singular Markov jump systems with asynchronous switching

Gao, Xianwen; He, Hangfeng; Qi, Wenhai

doi:10.1016/j.amc.2017.06.001

Cited by 15 publications

(8 citation statements)

References 30 publications

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“…Therefore, the singular system ( 8) is stochastically stable. The LMIs (11) are derived. This completes the proof.…”

Section: Andmentioning

confidence: 99%

“…Thus, some researchers study the stability and admissibility of singular Markov jump system (SMJS). [9][10][11][12] For SMJSs, the problem of regularity and stability is analyzed by Chvez-Fuentes et al 9 In the study by Zhang et al, 10 the slide mode control method is adopted to study the SMJSs. The admissibility performance is investigated by Gao et al 11 for discrete-time SMJSs.…”

Section: Introductionmentioning

confidence: 99%

“…9 –12 For SMJSs, the problem of regularity and stability is analyzed by Chvez-Fuentes et al 9 In the study by Zhang et al, 10 the slide mode control method is adopted to study the SMJSs. The admissibility performance is investigated by Gao et al 11 for discrete-time SMJSs. For SMJSs with time-varying switchings, the problem of stabilization is researched by Wang et al 12 In the study by Maand Zhang, 13 the H small∞ control theory is introduced to study the SMJSs and analyze the stability.…”

Section: Introductionmentioning

confidence: 99%

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Dissipativity-based asynchronous control for discrete-time singular Markov jump systems with multiplicative noises

Yan

Wang

et al. 2019

International Journal of Advanced Robotic Systems

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The singular systems, which could widely describe more general systems and present traits of physical features, are discussed in this study. Taking the fact that noises always exist in the state and output measurement of one singular system into consideration, which may cause some errors and decrease system performance, this article devotes itself to the dissipative control for discrete-time singular Markov jump systems (SMJSs) with multiplicative noises. To deal with the asynchronous phenomena between the system modes and the controller modes, a set of Markov chains are constructed. To make sure the closed-loop singular system is dissipative, a set of sufficient conditions are derived based on the linear matrix inequalities, and then the asynchronous controller is designed to ensure that SMJSs are stochastically admissible and strictly dissipative. Finally, a simulation example is carried out to verify the correctness of the derived theorem. The designed asynchronous controller improves the robustness of the controller and overcomes the asynchronous phenomenon. This control method can be applied in the fields of robot control system.

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“…Therefore, the singular system ( 8) is stochastically stable. The LMIs (11) are derived. This completes the proof.…”

Section: Andmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dissipativity-based asynchronous control for discrete-time singular Markov jump systems with multiplicative noises

Yan

Wang

et al. 2019

International Journal of Advanced Robotic Systems

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“…Nevertheless, it can be found that little attention is paid on the control of SMJSs based on HMM due to the complexity of system itself. Considering the time delay in switching signal and state, an asynchronous state feedback controller in [37] was designed for guaranteeing the admissibility of SMJSs. The reference [38] investigated the asynchronous H ∞ filter design for discrete-time SMJSs with packet losses.…”

Section: Introductionmentioning

confidence: 99%

Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes

Zhao

2021

IEEE Access

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In this paper, the issue of dissipative control for a class of discrete-time T-S fuzzy singular Markov jump systems with state-dependent noise and asynchronous modes is investigated. The hidden Markov model (HMM) is introduced to observe the asynchronous phenomenon between the original system modes and the controller modes. Sufficient conditions are established in the form of strict LMIs to guarantee that the closed-loop system is stochastically admissible and strictly (Q, S, R) − β dissipative. An asynchronous output feedback controller is successfully proposed, which is more general than synchronous and mode-independent ones. Finally, the effectiveness and validity of the obtained results are illustrated by a numerical example. INDEX TERMS singular Markov jump systems, asynchronous dissipative control, hidden Markov model, linear matrix inequalities (LMIs), Takagi-Sugeno (T-S) fuzzy model

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“…Singular systems are those the dynamics of which are governed by a mixture of algebraic and differential equations. More and more attention has been focused on problems for singular systems such as Guan et al (2005), Wei et al (2014), Gao et al (2017) and Dai (1989) and the references given there.…”

Section: Introductionmentioning

confidence: 99%

Stability and L₂–Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach

Wei

Zhi

2019

Transactions of the Institute of Measurement and Control

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In this paper, the problem of the E-exponential stability and [Formula: see text] analysis of linear switched singular systems is investigated in discrete-time case. By using a multiple discontinuous Lyapunov function approach and adopting the mode-dependent average dwell time (MDADT) switching signals, new sufficient conditions of E-exponential stability and [Formula: see text] analysis for linear switched singular systems are presented. Based on the above results, we also derive the weighted [Formula: see text] performance index. In addition, by utilizing our proposed method, tighter bounds on average dwell time can be obtained for our considered systems. At last, a numerical example is given to show the effectiveness of the results.

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Admissibility analysis for discrete-time singular Markov jump systems with asynchronous switching

Cited by 15 publications

References 30 publications

Dissipativity-based asynchronous control for discrete-time singular Markov jump systems with multiplicative noises

Dissipativity-based asynchronous control for discrete-time singular Markov jump systems with multiplicative noises

Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes

Stability and L₂–Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach

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Admissibility analysis for discrete-time singular Markov jump systems with asynchronous switching

Cited by 15 publications

References 30 publications

Dissipativity-based asynchronous control for discrete-time singular Markov jump systems with multiplicative noises

Dissipativity-based asynchronous control for discrete-time singular Markov jump systems with multiplicative noises

Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes

Stability and L2–Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach

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Stability and L₂–Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach