广义系统可靠保成本控制

Reliably Guaranteed Cost Control of Descriptor Systems

讨论了一类不确定广义系统可靠保成本控制问题·首先给出广义系统可靠保成本控制的定义·用线性矩阵不等式(LMI)得到广义系统未出现故障时二次稳定以及所给的成本函数有界的充要条件;同时又用LMI给出当广义系统的部分执行器出现故障时,仍二次稳定以及成本函数有界的充分条件;接着给出广义系统可靠保成本控制器设计方法·

Discusses the reliably guaranteed cost control of a class of uncertain descriptor systems. The definition of reliably guaranteed cost of descriptor systems is given. Thus, the sufficient and necessary condition is obtained in terms of linear matrix inequalities(LMI),under which the resultant closed-loop descriptor systems are not only of quadratic stabilization but the upper bound of the cost function when the systems are working in order. Moreover, another sufficient condition is also derived in terms of LMI when part of actuators are faulty so that the resultant closed-loop descriptor systems remain the same. Then,the design of a reliably guaranteed cost controller is obtained,with a numerical example given to illustrate the design method.