Robust pole placement controller design in LMI region for uncertain and disturbed switched systems. (English) Zbl 1163.93344
Summary: This paper concerns the state feedback control for continuous-time, disturbed and uncertain linear switched systems with arbitrary switching rules. The main result of this work consists in getting a Linear Matrix Inequality (LMI) condition guaranteeing a robust pole placement according to some desired specifications. Then, external disturbance attenuation with a fixed rate according to the \(H_\infty \) criterion is ensured. This is obtained thanks to the existence of a common quadratic Lyapunov function for all sub-systems. Finally, an academic example illustrates the efficiency of the developed approach.
MSC:
| 93B55 | Pole and zero placement problems |
| 93B36 | \(H^\infty\)-control |
| 93C05 | Linear systems in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
Keywords:
hybrid dynamical systems; linear switched systems; switched control; quadratic Lyapunov function; LMI (Linear matrix inequalities); \(H_\infty \) controlReferences:
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