Abstract
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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This work is partially supported by the National
Natural Science Foundation of China (No. 60774011),
the Natural Science Foundation of Zhejiang Province in
China (No. Y105141), and the Natural Science Foundation
of Fujian Province in China (No. 2008J0026).
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Cai, X., Liu, L. & Zhang, W. Saturated control design for linear differential inclusions subject to disturbance. Nonlinear Dyn 58, 487–496 (2009). https://doi.org/10.1007/s11071-009-9494-z
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DOI: https://doi.org/10.1007/s11071-009-9494-z