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Relaxed linear-matrix-inequality-based stability conditions for fuzzy-model-based control systems with imperfect premise matching are proposed. First, the derivative of the Lyapunov function, containing the product terms of the fuzzy model and fuzzy controller membership functions, is derived. Then, in the partitioned operating domain of the membership functions, the relations between the state variables...
This paper deals with the quadratic stabilization of discrete-time LTI systems using state-feedback controllers with bounded coefficients. The controllers are guaranteed to be non-fragile with respect to additive or multiplicative implementation errors. The approach is based on robust-control tools and LMIs. Finally, an example is given in order to illustrate the effectiveness of the approach.
This paper presents the stability analysis of polynomial fuzzy-model-based control systems, formed by a polynomial fuzzy model and a fuzzy controller connected in a closed loop, using sum-of-squares (SOS) approach. Based on the Lyapunov stability theory, the stability analysis is generalized by bringing the membership functions as polynomial variables to the stability analysis for relaxation of SOS-based...
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