抵御执行器故障的H₂/H_∞静态输出反馈可靠控制

Static Output Feedback Reliable Control with H₂/H_∞ Performance against Actuator Failures

针对线性系统,考虑连续增益故障模型,本文研究了具有执行器故障的H2/H∞静态输出反馈可靠控制问题。首先,在执行器无故障的前提下,给出H2/H∞性能指标存在的充分条件,进而得出系统的静态输出反馈控制率。然后,基于执行器故障,利用凸组合方法处理故障,重新设计静态输出反馈控制器,通过求解线性矩阵不等式的方法,完成静态输出反馈可靠控制器的设计。由此可靠控制器构成的闭环系统,使得当执行器发生故障时,也可使闭环系统的保持渐近稳定。最后的数值仿真验证了本文结果的有效性和可行性。

For a linear system and considering the continuous fault model, this paper proposed the problem of a static output feedback reliable controller with H2/H∞ performance. First, we give the existing sufficient conditions of H2/H∞ performance with the premise that the system is without faults, and we can get the rate of static output feedback reliable control. Then under the actuator failures, we use convex combination method, redesign the static output feedback controller and a static output feedback reliable controller can be obtained by using linear matrix inequality. And the close-loop system obtained by the reliable controller can keep asymptotically stable when the actuator fails. A simulation example is given to illustrate the feasibility and effectiveness of the results.