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 with minimal reachable set and least L2 gain are achieved simultaneously. Finally, the effectiveness of the proposed scheme is illustrated by a simulative example.

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