Research Of The Interconneted Time-Delay Large-Scale System With Input Saturation

The study of time-delay large-scale interconnected system becomes a hotspot in the field of control, and has attracted more and more researchers. Under some conditions,some problems can only be described by time-delay large-scale interconnected system, such as aerospace system model and so on. Input saturation factor is a general non-linear phenomenon. Without considering the input saturation factor to design a controller, the stability of closed-loop system can not be ensured. In recent years, there are some research results in the large-scale system with input saturation. However, the study of time-delay large-scale interconnected system are rare.This paper studies the control problems of the time-delay large-scale interconnected system with input saturation by using Lyapunov approach and linear matrix inequalities theory. Both the stabilization conditions and the design methods of passive controller, robust controller and H-infinity guaranteed cost controller are given.The main research of this paper as following:First of all, for a class of decentralize control problems of time-delay large-scale interconnected systems with saturation actuators is studied. And the design method of the decentralized control condition feedback controller is given.Secondly, for a class of passive control of the time-delay large-scale interconnected systems with input saturation is studied. The design methods of passive condition feedback controller are given.Thirdly, for a class of H-infinity control problems of multiple large-scale interconnected system with input saturation is studied. The existence condition and design methods of condition feedback controller are given.And an illustrative example is given to explain the effectiveness of the proposed method.Finally, for a class of time-delays interconnected system with input saturation, the problem of designing H-infinity controller is studied. A sufficient condition of stabilization which satisfies guaranteedcost index is given for the system by constructing the generalized Lyapunov function, connecting with Schur Complete Lemma and taking the linear matrix inequality approach. Then the corresponding method of designing state feedback H-infinity guaranteed cost controller is given.