时变时滞不确定组合系统的可靠保性能鲁棒控制

Reliable guaranteed cost robust control for uncertain interconnected systems with time-varying delays

针对一类孤立子系统中状态、控制输入及互联项均含有时变时滞的不确定组合系统,采用增益故障模型,提出了考虑执行器故障的可靠保性能控制问题。该执行器故障模型概括了执行器正常、执行器部分退化和执行器完全失效三种情况,系统的性能函数是带有故障输入项的积分二次函数。利用Lyapunov方法及线性矩阵不等式(LMI)方法,得到系统存在可靠保性能控制器的充分条件和控制器的设计方法,并给出了系统的可保性能表达式。最后,通过一个数值例子验证了所得结果的正确性。

The problem of the reliable guaranteed cost robust control is investigated for a class of uncertain interconnected systems with time-varying delays containing actuator failures. A general model of actuator failure is adopted, which covers normal operation, partial degradation and outage. The cost function of the systems is given in terms of integral quadratic function containing failure controls. By using Lyapunov approach and linear matrix inequality （LMI） technique, a sufficient condition for the existence of reliable guaranteed cost robust controller is derived, which renders the system a guaranteed cost. Finally, a numerical example is presented to demonstrate the correcmess of the theoretical results.