Delta算子系统D稳定鲁棒容错控制

研究了Delta算子描述的线性系统基于圆形区域极点配置的鲁棒容错控制(定义作D稳定鲁棒容错控制)问题·利用线性矩阵不等式,给出了Delta算子描述的标称线性系统通过状态反馈实现D稳定容错控制的两个充分条件和D稳定容错控制器的设计方法·利用代数Riccati方程,给出了Delta算子描述的不确定线性系统D稳定鲁棒容错控制的充分条件和D稳定鲁棒容错控制器的设计方法·将连续与离散系统有关该问题的结果统一到了Delta算子框架中·

D-Stable Robust Fault-Tolerant Control for Delta Operator Systems

The problem of fault-tolerant control for delta operator systems based on circular regional pole assignment, which is defined as D-stable robust fault-tolerant control, is studied. By use of linear matrix inequalities, the two sufficient conditions that the poles of the closed-loop system are assigned in a specific circular region and the nominal system possessing integrity against actuator failure are presented. Then, by means of algebraic Riccati equations, the robust fault-tolerant control problem for uncertain delta operator systems based on regional pole assignment is discussed, with the design methods for D-stable fault-tolerant controller and D-stable robust fault-tolerant controller both given. The proposed method can unify some previous related results of continuous and discrete time systems into the delta framework.