切换系统容错控制的研究

Study on Fault-tolerant Control of Switched Systems

针对线性切换系统,研究其在执行器失效情况下的容错控制问题.首先,在容错控制范围内,推导出系统实际运行中执行器失效所满足的条件;其次,运用平均驻留时间方法,给出平均驻留时间的下界,设计状态反馈控制器,使得每一具有平均驻留时间的切换信号都能保证系统的全局渐近可镇定;最后,把结果转化成线性矩阵不等式(LMI)的形式便于求解,并以数值例子仿真出系统的状态响应曲线及相平面曲线,从而验证结论的有效性.

For switched linear systems, the fault-tolerant control problem against actuator failures was studied in this paper. First of all,the satisfied conditions that actuators failed in actual operation were deduced within the permission of fault-tolerant control. Furthermore, state feedback controllers were designed and a lower bound of average dwell-time was given, which could guarantee the global asymptotical stabilizability of the switched system under arbitrary switching satisfying the average dwell-time condition. Finally, the results can be expressed as linear matrix inequalities（LMI）. A simulation example including curves of state response and phase plane is given to illustrate the effectiveness of the proposed approach.