Passivity of interconnected control systems with time-delays based on decentralized control
LIU Bi-yu
GUI Wei-hua
WU Min
Abstract：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.
Keywords：decentralized controlpassivityinterconnected systemstime-delaylinear matrix inequality
Publication Date：2005-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 52-56 )