Delta算子系统具有极点约束的鲁棒非脆弱方差控制

研究Delta算子描述的线性不确定系统具有圆形区域极点约束的鲁棒非脆弱方差控制问题. 针对系统参数范数有界不确定性和控制器的乘性增益不确定性, 运用线性矩阵不等式(LMI)方法, 提出具有圆形区域极点约束的状态反馈鲁棒非脆弱方差控制器存在的条件和设计方法. 数值算例表明设计方法的可行性.

Robust non-fragile variance control for Delta-operator systems with disk-pole constraints

The robust non-fragile variance control for the Delta-operator-formulated linear uncertain systems with diskpole constraints is studied. The aim is to design a robust non-fragile state feedback controller which satisfies the diskpole and variance constraints. With the norm-bounded parameter uncertainty in the system and the multiplicative gain uncertainty in the controller, we derive a sufficient condition for the existence of such controllers via the linear matrix inequality (LMI) approach, and present a design procedure of these controllers. A numerical example is provided to illustrate the design method.