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中文摘要：
针对参数具有确定性及不确定性的连续系统,给出两种严格耗散PI控制器的设计方法.首先,系统参数确定时,采用线性矩阵不等式方法,导出了类状态反馈和静态输出反馈严格耗散PI控制器存在的充要条件,并由线性矩阵不等式的可行解构造出严格耗散PI控制器增益的显式表达式;然后,考虑系数矩阵均具有范数有界不确定性时的鲁棒严格耗散控制问题,得到相似的结果;最后,通过数值算例表明了所给方法的有效性.
英文摘要：
For the linear systems with and without uncertainty, two PI controllers are designed. Firstly, while considering the linear systems without uncertainty, the necessary and sufficient condition for the existence of quadratic dissipative PI controller of analogous state feedback and static output feedback is derived. And the parametric representation of gains of PI controller is also given. Then the same problems and similar results for linear systems with uncertainty are considered. Finally, a numerical example shows the effectiveness of the proposed method.
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