{"title":"Robust H State-Feedback Control for Uncertain Fuzzy Markovian Jump Systems: LMI-Based Design","authors":"Wudhichai Assawinchaichote, Sing Kiong Nguang","volume":12,"journal":"International Journal of Computer and Information Engineering","pagesStart":4110,"pagesEnd":4115,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/333","abstract":"
This paper investigates the problem of designing a robust state-feedback controller for a class of uncertain Markovian jump nonlinear systems that guarantees the L2-gain from an exogenous input to a regulated output is less than or equal to a prescribed value. First, we approximate this class of uncertain Markovian jump nonlinear systems by a class of uncertain Takagi-Sugeno fuzzy models with Markovian jumps. Then, based on an LMI approach, LMI-based sufficient conditions for the uncertain Markovian jump nonlinear systems to have an H performance are derived. An illustrative example is used to illustrate the effectiveness of the proposed design techniques.<\/p>\r\n","references":"[1] S.P. Sethi and Q. Zhang, Hierarchical Decision Making in Stochastic\r\nManufacturing Systems, Birkhauser, Boston, 1994.\r\n[2] M. Mariton, Jump Linear Systems in Automatic Control, Dekker, New\r\nYork, 1990.\r\n[3] E.K. Boukas and A. 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