基于误差反馈的一类切换时滞系统的输出调节问题

Output regulation problem for a class of switched delay systems via error feedback

基于平均驻留时间方法,通过设计误差反馈控制器,讨论一类带有时变时滞的切换系统的输出调节问题.采用非共同坐标变换代替共同坐标变换,突破现有结果中要求调节器方程组存在共同解的限制.当控制系统和外部系统的状态均未知时,仅用误差信息设计控制器,同时设计满足平均驻留时间条件的切换规则.结合Finsler引理和詹森积分不等式,以线性矩阵不等式的形式给出确保输出调节问题可解的充分条件.此外,外部系统是切换系统.最后,用仿真例子说明结果的有效性.

Based on the average dwell time method,the output regulation problem of switched systems with time-varying delay is discussed by designing the error feedback controller.The different coordinate transformations are adopted instead of the common one to breakthrough the limitation of the existence of a common solution for the regulator equations in the existing results.In the case the states of both the controlled system and exosystem are unavailable,only the error information is employed to design controllers,and switching rules satisfying the average dwell time condition are co-designed.By combining the Finsler lemma and Jensen＇s integral inequality,sufficient conditions for the solvability of the output regulation problem are given in the form of linear matrix inequalities.In addition,exosystem is a switched system.Finally,an example is introduced to illustrate the validity of the results.