Saturated control design for linear differential inclusions subject to disturbance

In this paper, saturated control design method is presented for robust stabilization of linear differential inclusions subject to disturbance. Convex hull quadratic Lyapunov functions are used to construct nonlinear state feedback laws. By the state feedbacks, stabilization, disturbance rejection wi...

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Bibliographic Details
Published inNonlinear dynamics Vol. 58; no. 3; pp. 487 - 496
Main Authors Cai, Xiushan, Liu, Leipo, Zhang, Wei
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.11.2009
Springer Nature B.V
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Summary:In this paper, saturated control design method is presented for robust stabilization of linear differential inclusions subject to disturbance. Convex hull quadratic Lyapunov functions are used to construct nonlinear state feedback laws. By the state feedbacks, stabilization, disturbance rejection with minimal reachable set and least L 2 gain are achieved simultaneously. Finally, the effectiveness of the proposed scheme is illustrated by a simulative example.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-009-9494-z