多重输出约束下的Delta算子时滞系统广义保性能控制

The Generalized Guaranteed Cost Control for Delta Operator Time-delay Systems under Multiple Output Constraints

针对含参数不确性、范数有界的Delta算子时滞系统,设计状态反馈控制器使闭环系统对所有允许的不确定性是鲁棒渐近稳定的,并且要求系统指定的输出指标满足给定的约束,此外还要寻找出系统的性能指标的最小上界.运用Lyapunov稳定性理论和线性矩阵不等式(LMI)方法,给出次优保性能状态反馈控制器存在的充分条件,进而提出最优保性能控制器的设计方法,最后通过数值算例验证该方法的可行性.

For the parameter uncertainty and norm bounded Delta operator time-delay system, we designed the state feedback controller to ensure the closed-loop system is robust asymptotically stable for all allowable uncertainties, and the system specified output indicators meet the given con- straints. In addition, it finds the smallest upper bound of performance index of the system. By u- sing Lyapunov stability theory and linear matrix inequality （LMI） method, it finds out a sufficient condition of the existence of the optimal guaranteed cost state feedback controller, on the further, it puts forward the design method of the optimal guaranteed cost controller. Finally, a numerical ex- ample is verified the feasibility of method.