Non-fragile memory feedback control for uncertain time-varying delay switched fuzzy systems with unknown nonlinear disturbance

Zhang, Le; Jia, Meiyu; Ye, Hong

doi:10.1080/23307706.2020.1761902

Cited by 9 publications

(2 citation statements)

References 18 publications

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“…The parameters may be affected by the limitation of the computer word length, the aging of components, the calculation of truncation error, and so on. As Zhang et al (2021) pointed out, if the controller of a closed-loop system is uncertain or the parameters of the controller change subtly, the stability and other characteristics of the system will be dramatically affected. Such a controller is said to be fragile or inelastic.…”

Section: Introductionmentioning

confidence: 99%

Non-fragile guaranteed cost control of nonlinear switched systems with actuator saturation

Wang

Hui-ju

Zhang

2023

Transactions of the Institute of Measurement and Control

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This paper considers a non-fragile guaranteed cost control problem for a class of nonlinear switched systems with actuator saturation. For nonlinear switched systems, we derive some sufficient conditions to satisfy simultaneously the stabilization and the performance index of guaranteed cost control. To ensure the asymptotic stability of the nonlinear switched systems and minimize the upper bound of cost function, a switching law and non-fragile state feedback controllers are designed using the multiple Lyapunov functions method. On this basis, an optimization problem is solved by adopting linear matrix inequality (LMI) constraints, and the minimum upper bound of cost function is determined. At the end of the paper, a numerical example is given to prove the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Non-fragile guaranteed cost control of nonlinear switched systems with actuator saturation

Wang

Hui-ju

Zhang

2023

Transactions of the Institute of Measurement and Control

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show abstract

“…The parameters may be affected by the limitation of the computer word length, the aging of components, and the calculation truncation error, and so forth. As Zhang et al [18] stated, if the controller of a closed‐loop system is uncertain or the parameters of the controller change subtly, the stability and other characteristics of the system will be dramatically affected. Such the controller is said to be fragile or inelastic.…”

Section: Introductionmentioning

confidence: 99%

Nonfragile robust exponential stabilization of nonlinear uncertain switched systems with actuator saturation

Wang

Zhang

2022

Asian Journal of Control

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For nonlinear uncertain switched systems, the problem of how to overcome the controller vulnerability is studied when the actuator saturation is considered. The sufficient condition for guaranteeing nonfragile robust exponential stabilization of the system is derived by using the method of minimum dwell time. Then, a switching law and the nonfragile state feedback controllers are designed such that the closed‐loop system can be robustly exponentially stabilized at the origin. Next, when some scalar parameters of the closed‐loop system are given, the design issue of the nonfragile state feedback controllers, which aim at enlarging the estimation of domain of attraction for closed‐loop system, is transformed into a convex optimization issue with linear matrix inequalities (LMI) constraints. Finally, an example is given to verify the effectiveness of the proposed method.

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Non‐fragile reliable guaranteed cost control and L₂‐gain analysis for saturated switched nonlinear systems

Chen,

Zhang

2024

Optim Control Appl Methods

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For the nonlinear continuous‐time saturated switched system, this article investigates the problem of non‐fragile reliable guaranteed cost control of the system. Due to the simultaneous occurrence of controller perturbation, actuator saturation and actuator failure, when designing the cost function, this article considers three scenarios affecting the system performance, controller perturbation, actuator saturation and actuator failure, simultaneously in the cost function, which has not been investigated in the existing literature. For nonlinear switched systems, we derive some sufficient conditions to satisfy simultaneously the stabilization of non‐fragile reliable guaranteed cost control and the performance index. In order to ensure the exponential stabilization of the nonlinear switched systems and minimize the upper bound of cost function, a switching law and the non‐fragile reliable guaranteed cost state feedback controllers are designed by using the minimum dwell‐time method. Furthermore, by solving optimization problems with linear matrix inequality constraints, the minimum upper bound of the cost function and the performance of the system are determined. At the end of the article, we give a numerical example to verify the effectiveness of the proposed approach.

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Non-fragile memory feedback control for uncertain time-varying delay switched fuzzy systems with unknown nonlinear disturbance

Cited by 9 publications

References 18 publications

Non-fragile guaranteed cost control of nonlinear switched systems with actuator saturation

Non-fragile guaranteed cost control of nonlinear switched systems with actuator saturation

Nonfragile robust exponential stabilization of nonlinear uncertain switched systems with actuator saturation

Non‐fragile reliable guaranteed cost control and L₂‐gain analysis for saturated switched nonlinear systems

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Non-fragile memory feedback control for uncertain time-varying delay switched fuzzy systems with unknown nonlinear disturbance

Cited by 9 publications

References 18 publications

Non-fragile guaranteed cost control of nonlinear switched systems with actuator saturation

Non-fragile guaranteed cost control of nonlinear switched systems with actuator saturation

Nonfragile robust exponential stabilization of nonlinear uncertain switched systems with actuator saturation

Non‐fragile reliable guaranteed cost control and L2‐gain analysis for saturated switched nonlinear systems

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Non‐fragile reliable guaranteed cost control and L₂‐gain analysis for saturated switched nonlinear systems