Finite-time \(H_\infty\) dynamic output feedback control for nonlinear impulsive switched systems. (English) Zbl 1478.93612
Summary: This paper addresses the issues of finite-time bounded (FTB) and finite-time \(H_\infty\) control for nonlinear impulsive switched systems. By constructing appropriate multiple Lyapunov functions and employing mode-dependent average dwell time (MDADT) approach, some sufficient conditions are given to ensure that the system is FTB and finite-time \(H_\infty\) controllable. Moreover, a hybrid dynamic output feedback controller which contains continuous-time control and discrete-time control is designed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.
MSC:
| 93D40 | Finite-time stability |
| 93B36 | \(H^\infty\)-control |
| 93B52 | Feedback control |
| 93C27 | Impulsive control/observation systems |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C10 | Nonlinear systems in control theory |
Keywords:
finite-time boundedness; impulsive switched systems; dynamic output feedback; \( H_\infty\) control; mode-dependent average dwell timeReferences:
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