Decentralized Control For Uncertain Nonlinear Interconnected Large-scale Systems

Large-scale systems have special interconnect structure.(the changes of the system operating environment, measurement error, model fitting, and so caused)of nonlinear large-scale system with uncertainties can describe the objective systems in more generally, therefore, nonlinear interconnected large-scale systems with uncertainties research are particularly important. Decentralized control problems of nonlinear interconnected systems are studied in this article. The main contents are as follows:(1) Backgrounds and development of the article are introduced. First, the theory and development of the complex systems and general systems are outlined; then the research situation and existing problems of the subject which is related to nonlinear interconnected large-scale systems with uncertainties and generalized systems are introduced and the development and research are introduced; finally, the main works of this article are outlined.(2) The knowledge for preparation in this paper is presented.(3) The decentralized robust control problems of nonlinear interconnected large-scale systems with uncertainties have been studied. Through Lyapunov function and linear matrix inequality (LMI) technology, we analyze the stability of the system, a sufficient condition for robust stability and decentralized robust controller are obtained. At last, numerical example is given to illustrate the validity of the results.(4) The decentralized robust control problems of nonlinear interconnected large-scale descriptor systems with uncertainties have been studied. When under the assumption of the system is stable and impulse controllable, using generalized Lyapunov function and linear matrix inequality (LMI) technology, we give a judgment for the conditions of robust stability, and the decentralized robust controller which makes the closed-loop system asymptotically stable. At last, numerical example is given to illustrate the validity of the results.