We present a method to estimate the domain of attraction for a discrete-time linear system under a saturated linear feedback. A simple condition is derived in terms of an auxiliary feedback matrix for determining if a given ellipsoid is contractively invariant. Moreover, the condition can be express
Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation
β Scribed by Yong-Yan Cao; Zongli Lin; Yacov Shamash
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 165 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0167-6911
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β¦ Synopsis
In this paper, a set invariance analysis and gain scheduling control design approach is proposed for the polytopic linear parameter-varying systems subject to actuator saturation. A set invariance condition is ΓΏrst 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 demonstrate the e ectiveness of the proposed analysis and design method.
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