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Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation. (English) Zbl 0994.93014

Summary: A set invariance analysis and gain scheduling control design approach is proposed for polytopic linear parameter-varying systems subject to actuator saturation. A set invariance condition is first established. By utilizing this set invariance condition, the design of a time-invariant state feedback law is formulated and solved as an optimization problem with LMI constraints. A gain-scheduling controller is then designed to further improve the closed-loop performance. Numerical examples are presented to illustrate the effectiveness of the proposed analysis and design method.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
15A39 Linear inequalities of matrices
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