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In this paper, a relaxation technique based on homogeneous polynomially parameter-dependent (HPPD) solutions to parameter-dependent LMIs (PD-LMIs) is proposed. We investigate non-quadratic relaxed conditions characterized by parameter-dependent LMIs (PD-LMIs) in terms of parameter uncertainty belonging to the unit simplex, exploiting the algebraic property of Polya's Theorem to construct a family...
This paper addresses the problem of robust tracking control for nonlinear systems with external disturbances. The nonlinear system is represented by the discrete-time Takagi-Sugeno (T-S) fuzzy model. The control scheme is based on Hinfin performance to attenuate the tracking error as small as possible for the external disturbances. The stability of the whole closed-loop model is investigated using...
This paper presents two filter design methods for discrete time fuzzy dynamic systems based on a piecewise quadratic Lyapunov function. It is shown that the resulting filtering error system is globally stable with guaranteed Hinfin or generalized H2 performance and the filter gains can be obtained by solving a set of linear matrix inequalities. Two simulation examples are also given to illustrate...
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