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Robust Stabilizing Control for Discrete-time Uncertain Systems
不确定离散时间系统鲁棒稳定控制

Keywords: Uncertain system,robust stabilization,Riccati equation
不确定系统
,鲁棒稳定,反馈控制

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Abstract:

Based on the Lyapunov stability criterion, in this paper we present a method to study the robust stabilizing feedback control law for uncertain discrete-time systems. This method can be used to calculating the weighted matrix in terms of the solution of a matrix whose uncertainty is of "rank-1" type, and then designing the robust stabilizing controller according to the Riccati equation about the linear optimal controller. Meanwhile, we also discuss the uncertainly of the control matrix and the existence of robust stabilizing controller.

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