L2-gain Analysis and Synthesis of Saturated Switched Linear Systems

Zhang, Xinquan; Tao, Wenhua; Su, Qingyu

doi:10.1007/s12555-017-0388-4

Cited by 3 publications

(1 citation statement)

References 34 publications

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“…It is well known that actuator saturation is a common phenomenon in closed-loop control systems [17][18][19][20][21][22][23][24]. If the actuator is saturated, this system operates in the saturation zone.…”

Section: Introductionmentioning

confidence: 99%

L₂‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

Chen,

Li,

Zhang

2024

Asian Journal of Control

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For the nonlinear continuous‐time switched system with input saturation and time‐varying delay, the problem of actuator failure is investigated in the presence of external disturbances. First, the sufficient conditions for the tolerance disturbances of system are obtained by using the multiple augmented Lyapunov Krasovskii functionals method combined with the Wirtinger integral inequality method and the reciprocally convex combination inequality. Second, the restricted ‐gain is analyzed. Third, the switching law and the disturbance suppression fault‐tolerant controllers are designed to obtain the maximum value of tolerance disturbance and the minimum upper bound on the restricted ‐gain. Finally, the numerical examples are given to verified the effectiveness of the proposed method by comparing the state trajectories under the action of the fault‐tolerant controllers and the standard controllers.

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Section: Introductionmentioning

confidence: 99%

L₂‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

Chen,

Li,

Zhang

2024

Asian Journal of Control

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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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Stabilization of time delay systems with saturations via PDE predictor boundary control design

Selvaraj¹,

Kwon²,

Lee³

et al. 2021

Journal of the Franklin Institute

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L2-gain Analysis and Synthesis of Saturated Switched Linear Systems

Cited by 3 publications

References 34 publications

L₂‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

L₂‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

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

Stabilization of time delay systems with saturations via PDE predictor boundary control design

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L2-gain Analysis and Synthesis of Saturated Switched Linear Systems

Cited by 3 publications

References 34 publications

L2‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

L2‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

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

Stabilization of time delay systems with saturations via PDE predictor boundary control design

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L₂‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

L₂‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

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