【作者】 孙平； 井元伟；

【Author】 SUN Ping, JING Yuan-wei (College of Information Science and Engineering. Northeastern University, Shenyang 110004, China.

【机构】 东北大学信息科学与工程学院；

【摘要】 讨论一类更广泛的不确定系统基于观测器的鲁棒H∞控制问题．首先,对于所有的不确定性,给出了系统渐近稳定的条件;其次,分析了系统的H∞性能并基于LMI给出了观测器及控制器存在的充分条件,该控制器不仅满足系统的渐近稳定条件,而且也满足H∞性能约束条件,通过求解LMI可以方便地得到观测器及控制器的表达形式;最后,数值算例说明了观测器及控制器设计方法的有效性和可行性．更多还原

【Abstract】 The robust H∞ control problem of a class of uncertain systems with matched uncertainty and unmatched uncertainty is discussed based on observer. Firstly, the condition of asymptotical stabilization is presented. Secondly, by utilizing linear matrix inequality, it analyzes H∞ performance of systems for all admissible uncertainties and develops robust H∞ controller which satisfies not only asymptotical stabilization but also H∞ performance, so it is convenient to obtain the expression of observer and controller. Finally, a numerical example is given to demonstrate the effectiveness and feasibility of the observer and controller.更多还原