\(H_\infty \) switching synchronization for multiple time-delay chaotic systems subject to controller failure and its application to aperiodically intermittent control
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This paper is concerned with the \(H_\infty \) synchronization control problem for a class of chaotic systems with multiple delays in the presence of controller temporary failure. Based on the idea of switching, the synchronization error systems with controller temporary failure are modeled as a class of switched synchronization error systems. Then, a switching condition that incorporates the controller failure time is constructed by using piecewise Lyapunov functional and average dwell-time methods, such that the switched synchronization error systems are exponentially stable and satisfy a weighted \(H_\infty \) performance level. In the meantime, a switching state feedback \(H_\infty \) controller is derived by solving a set of linear matrix inequalities. More incisively, the obtained results can also be applied to the issue of aperiodically intermittent control. Finally, three simulation examples are employed to illustrate the effectiveness and potential of the proposed method.
KeywordsChaotic systems \(H_\infty \) synchronization control Controller temporary failure Switching method Piecewise Lyapunov functional
This work was supported by the National Natural Science Foundation of China under Grants 61673199 and 11404154 and the Education Department Science Research Foundation of Liaoning Province of China under Grant L2014151.
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