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Generalized system of research is being more and more attention from scholars , the theory become more perfect , but a lot of practical problems in control systems , there are a variety of uncertainties , including uncertainties and external disturbances of the system itself uncertainty. In this thesis, a class of uncertain singular discrete fuzzy system as the research object , some theoretical studies , including robust stabilization, robust H ∞ control , robust guaranteed cost control and robust H ∞ guaranteed cost control . Lyapunov equation , linear matrix inequality (LMI) theory, modern robust control theory to study the system were analyzed. First, the robust stabilization problem of of the discrete generalized fuzzy systems addressed in this article , given a sufficient condition for robust stabilization system , and gives the corresponding controller design method , and on this basis , the analysis of a robust the LMI form a sufficient condition of the guaranteed cost control and other issues , and issues of the given system , and gives the corresponding controller design method .
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