Decentralized Robust Control Of The Interconneted Time-Delay Descriptor Systems With Nonlinear Perturbations

The interconnected descriptor system is a kind of dynamics of more general and extensive applied background in power system, economic system, network system and so on. In recently twenty years, it has been developed sufficiently.This dissertation is a problem about the decentralized robust control of the interconnected descriptor systems. The system's models are more generalized than others existing literatures.First of all, the main background and the recent development are considered for the interconnected descriptor systems. The robust control and the research method for the robust control of the systems are also introduced.Secondly, the problems of the decentralized passive control for the interconnected interconnected time-delay descriptor systems with nonlinear perturbations are investigated. The passive state feedback controllers are designed by selecting some approximate Lyapunov functions.Thirdly, focuses on the interconnected interconnected time-delay descriptor systems with nonlinear perturbations and uncertainty, the research of quadratic stabilization and H∞controller and passive control are studied. Based on the modified Lyapunov functions, under the assumption that the uncertainty is norm-bounded, the existing conditions of quadratic stabilization and H∞state feedback controller are given. The controllers can be obtained by solving the corresponding linear matrix inequality. A numerical example and simulation are presented to illustrate the validity of this approach. At last, the conclusion and perspective are given.