【摘要】 针对一类具有状态时滞的时滞区间广义系统,基于状态反馈研究了保性能控制问题。利用线性矩阵不等式(LMI)处理方法,得到了闭环时滞区间广义系统广义二次稳定以及闭环性能指标值有上界的充分条件。利用LMI的可行解给出了保性能控制器的设计方法。设计的控制器使得闭环时滞区间广义二次稳定,同时保证闭环性能指标值是具有上界。最后的数值例子说明了所给方法的有效性。更多还原

【Abstract】 The problem of guaranteed cost control via memoryless state feedback is addressed for a class of interval singular systems with delayed state. The sufficient condition is given in term of linear martix inequalities (LMIs) for the quadratic stabilization of the resultant colsed-loop interval descriptor systems and the upper-bounded cost function. Moreover, the guaranteed cost controller is obtained in terms of the solutions to LMIs. With the designed controller the closed-loop systems are generally quadratially stable and the closed-loop cost function has upper bound. Finally, an example illustrates the effectiveness of the proposed method.更多还原