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Event-triggered finite-time \(H_\infty\) control of networked state-saturated switched systems. (English) Zbl 1485.93374

The authors investigate the event-based finite-time \(H_\infty\) control problem for a class of networked state-saturated switched systems with respect to time delays, nonlinear perturbations and disturbances. An event-triggered protocol for transmission is used to mitigate communication networks burdens. By transforming the original model into a new polyhedron system through a convex hull description, the state saturation limits were removed. Two coupling cases between the event triggering and mode switching signals were considered and, based on average dwell time the sufficient finite-time \(H_\infty\) performance analysis criterion is provided. To guarantee that the closed loop system is finite time-bounded and satisfies the disturbance attenuation performance an event-triggered controller has been designed by solving a set of convex optimization problems. Last, examples of utility of the results are given.

MSC:

93C65 Discrete event control/observation systems
93D40 Finite-time stability
93B36 \(H^\infty\)-control
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93B70 Networked control
Full Text: DOI

References:

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