讨论了执行器故障下,线性不确定系统圆形极点指标约束下的可靠保成本控制问题。在更实际、更一般的执行器故障模型下,给出了以LMI表达的故障系统极点可配置以及成本函数有上界的充分条件;进一步对执行器故障情况下的成本函数上界进行了优化,这种优化是通过一个LMI组的最小化问题来实现的。仿真实例验证了所得结果的有效性。
This note addressed the problem of reliable guaranteed cost control system design for linear uncertain systems with circular pole constraints, when actuator failures had happened. A more practical and general model of actuator failures is adopted. Based on linear matrix inequality approach, a sufficient condition, which is pole assignable and cost function index owns upper bounded for linear uncertain fault systems is setted up. Furthermore, a convex optimization problem with LMIs constraints is formulated to design the optimal reliable guaranteed cost controller. A simulation example shows the efficiency and necessity of the design method