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Zbl 0994.93014
Cao, Yong-Yan; Lin, Zongli; Shamash, Yacov
Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation. (English)
[J] Syst. Control Lett. 46, No.2, 137-151 (2002). ISSN 0167-6911

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 2000:: *93B51 Design techniques in systems theory
15A39 Linear inequalities

Keywords: set invariance; linear parameter-varying systems; gain-scheduling; actuator saturation; linear matrix inequality; design; polytopic systems

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