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According to the characteristics of long time-delays, large inertia and time-variation in the dissolved oxygen control method of sewage treatment, one fuzzy-Smith control model on dissolved oxygen control is presented in this paper. This model has the merits of a high robustness in fuzzy controller and a compensation for time delay in Smith predictor. After simulation experiment, the result is shown...
In our earlier study, the property of L2-gain robust control is incorporated into the direct adaptive fuzzy control design with the use of the compensative controller. The tracking control performance is guaranteed. In the study, we further employ the L2-gain property to improve the adaptive law design. Due to the L2-gain control property, the approximate error of the fuzzy system is estimable, and...
This study presents an H-infinite controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on...
Based on Takagi-Sugeno fuzzy model, this paper adopts the piecewise fuzzy Lyapunov function into the analysis of nonlinear discrete systems with parametric uncertainties. Firstly, a new sufficient condition to check the stability of closed-loop discrete T-S fuzzy systems is proposed after the definition of a discrete piecewise fuzzy Lyapunov function. This condition only needs to satisfy the condition...
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