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A controller design approach of T-S fuzzy control systems is proposed in this paper. Firstly, a concept of the efficient maximal overlapped-rules group (EMORG) is presented, and a relaxed sufficient condition is derived to guarantee the quadratic stability of the closed-loop T-S fuzzy systems globally. This condition only requires finding a local common positive definite matrix in each EMORG. Then,...
The problems of the discrete fuzzy controller design for the ship motion system and the stability analysis for the closed-loop discrete fuzzy system are studied. Firstly, a discrete T-S fuzzy model of the ship motion system is established; then, by using the method of parallel distributed compensation, a new sufficient condition to check the stability of the closed-loop discrete T-S fuzzy system is...
A discrete T-S fuzzy model of ship steering is established. Based on the properties of fuzzy systems with two-overlapped fuzzy partition (TFP) inputs, a new sufficient condition to check the stability of closed-loop fuzzy control systems is proposed via piecewise discrete Lyapunov function constructed in maximal overlapped-rule group. This condition only requires finding a common positive-definite...
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