李普希兹离散非线性奇异系统的广义二次镇定
Generalized Quadratic Stabilization of Lipschitz Discrete Nonlinear Singular Systems
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摘要: 考虑了一类李普希兹离散非线性奇异系统的广义二次镇定问题.利用矩阵不等式技巧,得到了李普希兹离散广义系统状态反馈镇定控制器存在的充分条件与闭环系统广义二次稳定且存在唯一解的充分条件.在未对系统矩阵进行分解的条件下,给出了镇定控制器的设计方法.Abstract: This paper is concerned with the generalized quadratic stabilization problem of Lipschitz discrete descriptor systems. Applying the matrix inequality technique, sufficient conditions for the existence of solutions to this problem are obtained, which guarantee the existence and uniqueness of the solutions and generalize quadratic stability of the resulting closed-loop system. When these conditions are satisfied, the explicit formula of a desired state feedback controller is also given without resorting to decomposing the system matrices.
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