抵御执行器故障扰动的二次性能指标可靠控制

针对线性不确定系统,在设计不确定系统保性能问题的基础上,提出了带有执行器故障的二次性能指标可靠控制问题。第一,设计静态输出反馈控制器给出了系统渐近稳定的充分条件,且满足二次性能指标。第二,考虑执行器连续增益故障,此时系统在原静态输出反馈控制器下无法维持原性能甚至是稳定性。第三,利用LMI给出了静态输出反馈可靠控制器且满足二次性能指标的设计方法。此控制器可使线性不确定系统在发生执行器故障后满足二次性能指标且依然保持稳定。最后,根据MATLAB仿真结果证明了该可靠控制器的科学性和严谨性。

QUADRATIC PERFORMANCE CRITERION RELIABLE CONTROL AGAINST ACTUATOR FAILURE

Considering the linear uncertainty systems based on the design of protection performance problem for uncertain systems, the problem of quadratic performance criterion reliable control with actuator failures is studied. Firstly, the static output feedback controller was designed, and sufficient conditions for the asymptotically stable of the system was given, at the same time, the quadratic performance criterion is satisfied. Secondly, once the actuator fails, the system can''t remain the original performance or even stable under the action of the original static output feedback controller. Thirdly, a static output feedback reliable controller was designed by LMI, and it satisfies quadratic performance criterion. This controller can make linear uncertain systems keep asymptotically stable after the actuator failure, simultaneously, satisfying the quadratic performance criterion. Finally, the MATLAB simulation is presented to verify the scientific and rigorous of the reliable controller.