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研究线性状态时滞不确定系统传感器和执行器同时失效的容错控制问题。在Lyapunov稳定性分析的基础上,利用H∞控制设计方法和线性矩阵不等式处理方法,给出了带有时滞的状态反馈控制的设计方案。采用该方案设计的容错控制系统能够在保证系统闭环稳定的同时满足给定的H∞性能指标,而且能够减小时滞所带来的影响。通过仿真算例验证了该方法的有效性。
The problem of fault-tolerant control of simultaneous failure of sensors and actuators in linear systems with time-delay uncertainties is investigated. On the basis of Lyapunov stability analysis, the design scheme of state feedback control with time delay is given by using H∞ control design method and linear matrix inequality method. The fault-tolerant control system designed with this scheme can meet the given H∞ performance index while ensuring the closed-loop stability of the system, and can reduce the impact caused by the delay. Simulation results show the effectiveness of the method.