Stability and gain performance analysis for singular switched positive systems under MDMDT switching signal

Li, Shuo; Xiang, Zhengrong; Zhang, Junfeng

doi:10.1016/j.jfranklin.2020.05.054

Journal of the Franklin Institute

2022

DOI: 10.1016/j.jfranklin.2020.05.054

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Stability and gain performance analysis for singular switched positive systems under MDMDT switching signal

Shuo Li

Zhengrong Xiang

Junfeng Zhang

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Cited by 14 publications

References 28 publications

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Set‐membership state estimation for delayed switched systems with interval uncertainty: A zonotopic approach

Zhou,

Chen,

et al. 2024

Adaptive Control & Signal

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SummaryConsidering the existence of time delay and interval uncertainty, a set‐membership state estimation problem based on zonotopes is studied for discrete‐time switched systems subject to unknown but bounded noises. To conform the actual situation, a state observer asynchronous with the subsystem is designed. The performance is introduced to attenuate the effect of noises in the observer design. By dealing with the interval uncertainty, the design approach of observer is given and transformed into a convex optimization problem which can be solved off‐line. The zonotope and the estimation interval containing state are provided based on the observer. Finally, a numerical example is given to verify the effectiveness of the proposed algorithm.

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Set‐membership state estimation for delayed switched systems with interval uncertainty: A zonotopic approach

Zhou,

Chen,

et al. 2024

Adaptive Control & Signal

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Asynchronous nonfragile guaranteed performance control for singular switched positive systems: An event‐triggered mechanism

Wang,

Li,

et al. 2024

Intl J Robust & Nonlinear

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SummaryThis paper addresses the guaranteed performance control problem for a class of singular switched positive systems, where the switching signal is subject to a state‐dependent process. Firstly, the causality, regularity, positivity, and asymptotical stability of the considered systems are discussed. In order to prevent the occurrence of data collisions and reduce the consumption of communication resources, the event‐triggered (E‐T) mechanism is applied. This is one of the initial attempts to introduce the E‐T scheme for such special systems. Besides, an asynchronous nonfragile controller under the E‐T scheduling scheme is designed to make certain that the resulting closed‐loop systems are causal, regular, positive, asymptotically stable, and have a guaranteed performance value . Through the application of the co‐positive Lyapunov function method and the min‐projection strategy, the corresponding sufficient conditions are given in the form of linear programming (LP). Finally, the effectiveness of the controller proposed in this paper is verified via two simulation examples.

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Event-triggered feedback stabilization of switched linear systems via dynamic logarithmic quantization

Liu

Duan

2022

Nonlinear Dyn

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Stability and gain performance analysis for singular switched positive systems under MDMDT switching signal

Cited by 14 publications

References 28 publications

Set‐membership state estimation for delayed switched systems with interval uncertainty: A zonotopic approach

Set‐membership state estimation for delayed switched systems with interval uncertainty: A zonotopic approach

Asynchronous nonfragile guaranteed performance control for singular switched positive systems: An event‐triggered mechanism

Event-triggered feedback stabilization of switched linear systems via dynamic logarithmic quantization

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