Stability and asynchronous stabilization for a class of discrete-time switched nonlinear systems with stable and unstable subsystems

Zheng, Qunxian; Zhang, Hongbin; Zheng, Da-Zhong

doi:10.1007/s12555-016-0301-6

Cited by 17 publications

(4 citation statements)

References 41 publications

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“…Remark Different from Du and Qiao [25] and Li et al [27], this paper focuses on discrete‐time rather than continuous‐time PSTSFSs. The controller designed in Zheng et al [38] cannot guarantee the positivity of the switched system, but only the stability of the system. However, the controller designed in this paper can not only ensure the positive of the system but also ensure the stability of the system.…”

Section: Controller Synthesismentioning

confidence: 99%

Controller synthesis for discrete‐time positive switched T–S fuzzy systems with partially controllable subsystems

Yang

Hao

Zhang

et al. 2021

Asian Journal of Control

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The controller synthesis problem for discrete-time positive switched T-S fuzzy systems (PSTSFSs) is investigated in this paper. Unlike previous literature, subsystems are assumed to be partially controllable in this paper. A novel slow-fast combined mode-dependent average dwell time (SFCMDADT) approach is proposed to obtain sufficient conditions for the stability of general positive switched nonlinear systems with partially stable subsystems. Then based on the obtained results, a parallel distributed compensation (PDC)-based fuzzy controller is designed, and sufficient conditions for the stability of PSTSFSs with partially controllable subsystems are developed with the aid of a time-scheduled multiple linear copositive Lyapunov function. Furthermore, sufficient conditions for the stability of the positive switched T-S fuzzy system are given respectively for the two cases that the subsystems are all controllable and all uncontrollable.Finally, two simulation examples are provided to illustrate the effectiveness of the proposed method.

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Section: Controller Synthesismentioning

confidence: 99%

Controller synthesis for discrete‐time positive switched T–S fuzzy systems with partially controllable subsystems

Yang

Hao

Zhang

et al. 2021

Asian Journal of Control

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“…With the aid of statistical technique, the information of statistic information φ f is easy to be achieved, that is,

φ_{f} = \lim_{k \to \infty} \frac{k_{f}}{k}

, where k f is the times of ϑ k = f in the interval [1, k ]. Therefore, compared with TP method, the study of DTSSs with SP approach is a fascinating topic …”

Section: Problem Formulationmentioning

confidence: 99%

Static output feedback control of switched systems with quantization: A nonhomogeneous sojourn probability approach

Cheng

Park

Zhao

et al. 2019

Intl J Robust & Nonlinear

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Summary The present work deals with the problem of static output feedback control for discrete‐time switched systems (SSs) with quantization effects. Different from the existing results on SSs, a more general model with respect to a new switching rule (SR) is explored by utilizing a nonhomogeneous sojourn probability approach. Both control input and measured output are quantized by the mode‐dependent static logarithmic quantizers, respectively. To decrease the conservatism and eliminate the coupling parameters, a descriptor technology is employed in the static output feedback control scheme. In the framework of the time‐dependent SR, sufficient conditions are proposed to guarantee the mean square stability of resulting systems. Finally, an example is expressed to demonstrate the applicability and validity of the developed theoretical results.

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“…Therefore, the research on unstable subsystem has gradually attracted the attention of scholars in recent years. The authors of [22–29] have investigated the case when partly subsystems are unstable. In [22–24], the state divergence of the unstable subsystems will be eliminated by activating the stable subsystems sufficiently long.…”

Section: Introductionmentioning

confidence: 99%

Unified stability criteria for continuous‐time switched T‐S fuzzy systems

Liu

Mao

Zheng

et al. 2020

IET Control Theory & Appl

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Stability and asynchronous stabilization for a class of discrete-time switched nonlinear systems with stable and unstable subsystems

Cited by 17 publications

References 41 publications

Controller synthesis for discrete‐time positive switched T–S fuzzy systems with partially controllable subsystems

Controller synthesis for discrete‐time positive switched T–S fuzzy systems with partially controllable subsystems

Static output feedback control of switched systems with quantization: A nonhomogeneous sojourn probability approach

Unified stability criteria for continuous‐time switched T‐S fuzzy systems

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