Decentralizedl Conytol For Nonlinear Interconnected Large-scale Systems

The nonlinear interconnected large-scale system is a class of complex systemwhich has been extensively applied in many practical applications, such as economicsystems, aerospace systems, urban traffic networks systems, circuit network system,wireless communication systems and so on. Decentralized control has been recognizedas an important method in researching interconnected large-scale systems, comparewith the centralized control, decentralized control is more practical, dependable andeconomic. Therefore, the research of the decentralized control for nonlinearinterconnected large-scale systems has important theoretical and practicalsignificance.This dissertation studies the problem of decentralized control for nonlinearinterconnected large-scale systems by constructing appropriate Lyapunov-Krasovskiifunction, combining with matrix norm theory, integral inequality, generalized Riccatiequations, matrix Moore-Penrose generalized inverse theory and linear matrixinequality (LMI) approach. The main works are as follows:Firstly, the problem of decentralized output feedback robust stability foruncertain nonlinear descriptor large-scale composite systems with input saturatingactuators is investigated. An E-asymptotic stability criterion of the systems isproposed by using Lyapunov stable theory and matrix norm theory, then a designmethod for decentralized static output feedback robust stabilization controller is givenby using generalized Riccati equations and matrix Moore-Penrose generalized inversetheory.Secondly, the problem of decentralized control for a class of nonlinear uncertaintime-delay interconnected large-scale systems with similar structure is researched, thenew similar structure is presented via state feedback, then by exploiting the structureof interconnected systems, constrained Lyapunov-Krasovskii equations and LMImethod, the sufficient condition is given to guarantee that the interconnected system isstable and the method of designing the decentralized controller is presented. Thirdly, the problem of the memory feedback decentralized control for a class ofnonlinear multi-delay interconnected large-scale systems with similar structure isinvestigated. The new similar structure is given via memory feedback, based on which,by constructing appropriate generalized Lyapunov-Krasovskii function, usingSchur’s-complement Lemma and a new integral inequality, a delay-dependentcondition is given to guarantee that the interconnected system is stable and the designmethod of decentralized controller is presented.Finally, the problem of the memory static output feedback decentralized controlfor a class of nonlinear time-delay interconnected systems with similar structure isresearched. The new similar structure is given via static output feedback, then thememory static output derivative feedback controller is designed, the sufficientcondition is given to guarantee that the interconnected system is stable and thestability domain is estimated.