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He, Hangfeng; Gao, Xianwen; Qi, Wenhai

Asynchronous \(H_\infty\) control of time-delayed switched systems with actuator saturation via anti-windup design. (English) Zbl 1390.93283

Optim. Control Appl. Methods 39, No. 1, 1-18 (2018).
Summary: This paper deals with the problem of asynchronous \(H_\infty\) control for time-delay switched systems under actuator saturation via anti-windup design, where asynchronous switching means the switching of the controllers has a lag to the switching of subsystems. By constructing an appropriate piecewise Lyapunov-Krasovskii function and using local sector conditions, sufficient conditions for solving the problem are derived in the form of linear matrix inequalities. Moreover, the domain of attraction is maximized. Finally, an application example is given to demonstrate the validity of the main results.

Cited in 7 Documents

MSC:

93B36 \(H^\infty\)-control
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C10 Nonlinear systems in control theory
93D30 Lyapunov and storage functions
93C15 Control/observation systems governed by ordinary differential equations

Keywords:

actuator saturation; anti-windup design; asynchronous \(H_\infty\) control; domain of attraction; switched systems; time-varying delay
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References:

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