广义不确定周期时变系统的鲁棒非脆弱控制

Robust Non-fragile Control for Time-varying Uncertain Periodic Singular Systems

研究了状态矩阵具有不确定性的广义周期时变系统的鲁棒非脆弱控制问题.利用线性矩阵不等式(LMI)方法,分别对控制器增益具有加法式摄动和乘法式摄动两种情形加以讨论,而非脆弱控制器的设计可以通过求解一组线性矩阵不等式得到.最后,数值例子说明了所给方法的有效性.

Discusses the design problem of Robust non-fragile control for a class of time- varying uncertain periodic singular systems. The controller with feedback gain perturbation guarantees the robust stability of the closed-loop system. Two classes of perturbations are considered, namely, additive and multiplicative. The state feedback non-fragile controller designs under the two classes of gain perturbations are in terms of linear matrix inequalities. An numerical example for both cases is given to illustrate the effectiveness of the theory.