【作者】 邵汉永；

【Author】 SHAO Han-yong (College of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China.

【机构】 曲阜师范大学电气信息与自动化学院；

【摘要】 考虑线性连续时滞系统的二次型耗散控制问题．对于确定系统,先进行耗散性分析得到系统渐近稳定且严格二次型耗散的条件,再讨论输出反馈耗散控制问题,构造动态输出反馈使闭环系统渐近稳定且严格二次型耗散,给出输出反馈控制器的存在条件以及综合方法．对于不确定系统,考虑不确定性具有耗散特性的情形,讨论这类不确定系统的鲁棒耗散性分析和动态输出反馈鲁棒耗散控制问题．通过构造增广系统,将不确定系统的鲁棒严格二次型耗散分析和设计转化为确定系统的情况．所得结果为连续时滞系统的分析和设计提供了一种更灵活、保守性更小的方法．更多还原

【Abstract】 Quadratic dissipative control for linear systems with delay is considered. For the system without uncertainties, the objective is to design dynamic output feedback controllers such that the closed-loop system achieves asymptotic stability and strict quadratic dissipativeness. First, the strict quadratic dissipativeness can be reduced to solvability of LMIs and conditions are characterized for the systems to be asymptotic stable and strict quadratic dissipative. Then the output feedback dissipative control problem is addressed. Conditions in a form of LMIs are obtained for the existence of the output feedback controllers and methods for designing those controllers are derived. As for uncertain systems, it considers structured uncertainty characterized by a dissipative system. For the uncertain system, robust quadratic dissipative analysis is addressed and dynamic output feedback controllers are developed so that the closed-loop system achieves robust stability and strict quadratic dissipativeness. It shows that the robust dissipative analysis and synthesis can be reduced to the dissipative analysis and synthesis problems without uncertainties. Results of the out-put feedback dissipative control can provide a more flexible and less conservative design for linear systems with delay.更多还原