一类不确定性系统鲁棒H_∞控制器

The research of robust controller for a class of uncertain system

研究一类具有匹配不确定性系统鲁棒H_∞控制问题,第一,基于矩阵不等式给出了二次稳定的条件并且对系统的H_∞性能进行了分析;第二,给出了系统的鲁棒H_∞控制器,该控制器不仅满足系统二次稳定的条件,而且也满足H_∞性能约束条件;最后,数值算例说明了控制器的有效性和可行性。

This paper study a class of unmatched uncertainties robust control system. First, based on matrix inequalities give the conditions for quadratic stability and system performance analysis; Second, give the system the robust controller, The controller will not only meet the conditions for quadratic stability of the system, but also meet the performance constraints. Finally, numerical example illustrates the effectiveness and feasibility of the controller.