不确定线性系统的容错控制器设计

Design of fault-tolerant controllers for uncertain linear systems

针对一类含有时变范数有界参数不确定性和部分执行器可能失效的系统 ,结合一个二次型性能指标 ,研究了使得闭环系统保持稳定 ,且闭环性能指标值不超过某个确定界的鲁棒容错状态反馈控制率的设计问题 。

This artical studies the problem of robust fault\|folerant controller design for uncertain linear systems with actuator failures within a prespecified subset of actuators. The uncertainy considered here is time\|varying norm\|bounded parameter uncertainty in the state matrix. A state feedback control design is presented which stabilizes the plant and guarantees an adequate level of closed\|loop performance for all admissible uncertainties as well as actuator failures. The construction of the robust fault\|tolerant controller is given in terms of the symmetric positive definite solution to a certain algebraic Riccati matrix equation.