首页|The Ellipsoidal Invariant Set of Fractional Order Systems Subject to Actuator Saturation:The Convex Combination Form
The Ellipsoidal Invariant Set of Fractional Order Systems Subject to Actuator Saturation:The Convex Combination Form
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国家科技期刊平台
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The domain of attraction of a class of fractional order systems subject to saturating actuators is investigated in this paper.We show the domain of attraction is the convex hull of a set of ellipsoids.In this paper,the Lyapunov direct approach and fractional order inequality are applied to estimating the domain of attraction for fractional order systems subject to actuator saturation.We demonstrate that the convex hull of ellipsoids can be made invariant for saturating actuators if each ellipsoid with a bounded control of the saturating actuators is invariant.The estimation on the contractively invariant ellipsoid and construction of the continuous feedback law are derived in terms of linear matrix inequalities (LMIs).Two numerical examples illustrate the effectiveness of the developed method.
Fractional ordersaturationconvex hullinvariant setellipsoiddomain of attraction.
Kai Chen、Junguo Lu、Chuang Li
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School of Mechanical and Electrical Engineering, Hainan University, Haikou 570228, China
Department of Automation, Shanghai JiaoTong University
Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai 200240, China
This work was supported by Natural Science Foundation of Hainan ProvinceNational Natural Science Foundation of China
国家科技期刊平台
NSTL
万方数据
维普
