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PDF(379 KB)
PDF(379 KB)
广义离散系统保D-稳定的动态输出反馈H∞控制器设计
Dynamic output feedback H∞ controller design for D-stability of discrete singular systems
提出一种保证广义离散系统D-稳定性的严格真动态输出反馈H∞控制器设计方法.首先,给出保证广义离散系统正则、因果、 D-稳定且从干扰到控制输出的传递函数满足H∞范数约束的充分条件. 在此条件下,通过构造辅助广义系统,用两组矩阵不等式给出了控制器存在的充分条件,使得闭环系统是正则、因果、D-稳定且满足 H∞范数约束,并给出控制器的解析表达式.同时,也给出了广义离散系统状态反馈H∞控制器的一种设计方法.控制器可解性条件由系统的系数矩阵来表达,设计过程不需要系统矩阵分解,可避免因矩阵分解而产生的数值问题.
A method to design a strictly proper dynamic output feedback H∞ controller for D-stability of discrete singular system is given. Firstly, we present the sufficient condition for singular discrete systems to be regular, causal, D-stable as well as whiling meeting a prescribed H∞ performance condition. Based on this condition and a constructed auxiliary singular system, a sufficient condition for the existence of the dynamic output feedback H∞ controller is presented by means of two groups of matrix inequalities, such that the resulting closed-loop system is regular, causal, D-stable and with its transfer function satisfying H∞ norm constraint. We give the analytic expression of the controller which can be obtained by solving the two groups of matrix inequalities. At the same time, a method to design state feedback H∞ controller for discrete singular systems is also obtained. The condition for the solvability of the controllers is expressed by using the coefficient matrices of the system; the design procedure involves no decomposition of the system matrices, which can avoid some numerical problems arising from decomposition of matrices.
广义离散系统 / 动态输出反馈H&infin / 控制器 / 矩阵不等式 / 辅助广义系统 / D-稳定性 {{custom_keyword}} /
discrete singular systems / dynamic output feedback H∞ controller / matrix inequalities / auxiliary singular system / D-stability {{custom_keyword}} /
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西北工业大学研究生创业种子基金(Z2013089)
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