参数不确定离散奇异系统的鲁棒H∞控制

研究了不确定离散奇异系统的鲁棒H∞控制问题, 控制目标是设计一个状态反馈控制器, 对所有允许的不确定性, 闭环系统正则、因果、稳定且具干扰衰减度γ. 首次提出了该问题的充分必要条件, 并且设计方法归结为求一个严格线性矩阵不等式(LMI)的可行性问题. 最后, 通过一个数值实例证实了该方法的有效性.

Robust H∞ Control for Discrete Singular Systems with Parameter Uncertainties

This paper deals with the problem of robust H_∞ control for uncertain discrete singular systems. The problem we address is the design of a state feedback controller, such that the resulting closed-loop system is regular, causal, stable and with disturbance attenuation γ for all admissible uncertainties. Based on strict linear matrix inequality (LMI) approach, a sufficient and necessary condition for the solution to this problem is obtained for the first time. Finally, a numerical example is given to demonstrate the applicability of the proposed method.