Event-triggered finite-time H∞ control of networked state-saturated switched systems

Xiuyang Zhou, Yun Chen, Qian Wang, Keqin Zhang and Anke Xue

International Journal of Systems Science, 2020, vol. 51, issue 10, 1744-1758

Abstract: This paper is concerned with the event-based finite-time $H_\infty $H∞ control problem for a class of networked state-saturated switched systems subject to time delays, nonlinear perturbations and exogenous disturbances. The event-triggered transmission protocol is introduced to schedule the data transmission and so the communication network burdens can be mitigated. The state saturation restraints can be removed by means of transforming the original model into a new polyhedron system via a convex hull description approach. By considering two coupling cases between the mode switching signal and the event triggering signal, the sufficient finite-time $H_\infty $H∞ performance analysis criterion is provided based on average dwell time (ADT) analysis technique. Then, an event-triggered state-feedback controller is designed to ensure that the closed-loop system is finite-time bounded and satisfies the specified $H_\infty $H∞ disturbance attenuation performance. The desired controller can be obtained by solving a set of convex optimisation problems. Finally, a numerical example shows the usefulness of the theoretical results.

Date: 2020
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DOI: 10.1080/00207721.2020.1777344

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