一种鲁棒故障检测与反馈控制的最优集成设计方法

研究线性不确定系统的反馈控制器与鲁棒故障检测滤波器集成设计问题.基于新提出 的性能指标函数,将鲁棒故障检测滤波器设计问题归结为最优化问题,通过求解Riccati方程可 得到鲁棒故障检测滤波器设计问题的最优解.在共用同一状态观测器的情况下,将反馈控制器 和鲁棒故障检测滤波器的集成设计问题归结为两目标优化问题,解决了同时满足闭环控制系统 设计要求和故障诊断系统鲁棒性能的最优集成设计问题.简例验证了提出算法的有效性.

An Optimization Approach to Feedback Controller and Robust Fault Detection Filter Integrated Design

The integrated design problem of feedback controller and robust fault detection filter is studied for uncertain linear time invariant system. By introducing a performance index, the fault detection filter design problem can be formulated as an optimization problem and the solution can be obtained in terms of Riccati equation. In the case of feedback controller and fault detection filter sharing a common observer, a two-objective optimization approach to integrated design feedback controller and fault detection filter is proposed such that the closed-loop feedback control system performance and robustness of fault detection filter can achieve their optimal level simultaneously. An illustrative example shows the effectiveness of the proposed methods.