时滞关联大系统基于分散控制的无源性(英文)

Passivity of interconnected control systems with time-delays based on decentralized control

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 a system,but also an important approach to control a system.Based on decentralized control method,the passivity of interconnected systems with time-delays is studied.Employing Lyapunov-Krasovskii functional method and Hamiltonian function method,the decentralized and passive controllers are presented explicitly by solving some linear matrix inequalities (LMIs).The new passivity criteria and the parameters of the passive controllers presented here are delay-dependent.By using the LMI toolbox in software Matlab,the conditions in the new results are easy to be verified and the (parameters) of the passive controllers are easy to be well set too,when the interconnected delays are known.A numerical example (illustrates) the availability of the theorems of passivity and the design procedure of the passive controllers.