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无源性不仅是系统的一个重要性质,而且是控制一个系统的重要途径.本文基于分散控制方法研究了关联大系统的无源性.利用Lyapunov＿Krasovskii泛函方法和Hamilton函数方法,通过求解线性矩阵不等式(LMIs)得到了分散无源控制器的显式表达.所得到的新的无源性判据和无源控制器的参数是与时滞相关的.当关联时滞已知时,这些新结果的条件易于用Matlab中的LMI工具箱进行验证,因而控制器的设计也容易实现.最后用数值例子说明了所得到定理的有效性和无源控制器的设计过程.
Passivity is not only an important property of the system, but also an important way to control a system.In this paper, the decentralized control method is used to study the passiveness of large-scale interconnected systems. By using the Lyapunov-Krasovskii functional approach and the Hamilton function method, by solving the linear matrix inequality (LMIs), the explicit expressions of decentralized passive controllers are obtained.The new passive criterion and the parameters of the passive controller are related to the delay, and when the associated delay is known, these new results The conditions are easy to verify with the LMI toolbox in Matlab, so the design of the controller is also easy to implement.Finally, numerical examples are given to illustrate the validity of the obtained theorem and the design process of the passive controller.