Robust Control Of Discrete Impulsive Switched Systems And Its Application

The major topic of control problems is to modify the dynamics of a system such that some particular objects are satisfied. Control theory is benefited from practical activities and will be used to solve practical problems. Based on precise mathematical models, the control theory tries to find a controller satisfying given performance index, or aims to search the optimal controller such that the optimal performance index can be realized. However, almost all of real systems may suffer uncertainties in different forms. The uncertainties include either model imperfections, such as unmodeled dynamics, structured parametric uncertainties, change of the operating environment, model reduction and linearization approximations, etc, or external disturbances, for examples, various disturbances with unknown statistical characteristic and bounded energy. For the analysis and synthesis of uncertain systems, this dissertation admits some tolerances of uncertainties, within which robust performances are guaranteed.Firstly, background and signification of discrete impulsive switch systems(DISS) are reviewed,and the reported research works on DISS and the robust stability control of DISS are summarized. Based on industrial applications such as macroeconomic systems and manufacturing, a new mathematic model, the impulsive switched system with linear uncertainties, is presented for the systems under impulsive discrete control at the switching instants. By Lyapunov function method, some sufficient conditions of asymptotic stability and robust stability of this system are obtained. Then the method is extended to the systems with nonlinear uncertainties, by H∞control method, the inner stability and H∞performance of this system is studied and a robust controller based on MATLAB soft is designed. Finally, the thesis simply summarizes the research work of the application of H∞robust control to macroeconomic model.In the end, a brief summary has been done for the discussion and the farther research trend on robust control of discrete impulsive switched systems is presented.