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New stable adaptive fuzzy approach to control uncertain nonlinear SISO systems
Authors:F Khaber  A Hamzaoui  K Zehar  N Essounbouli
Affiliation:1. QUERE Laboratory , Automatic Department , Setif University , 19000 Sétif, Algeria;2. CReSTIC Laboratory , GMP Department , Reims University , 10026 Troyes cedex, France jfkhaber@yahoo.fr;4. CReSTIC Laboratory , GMP Department , Reims University , 10026 Troyes cedex, France;5. QUERE Laboratory , Automatic Department , Setif University , 19000 Sétif, Algeria
Abstract:This paper deals with the synthesis of a new robust adaptive fuzzy control for a class of nonlinear and disturbed single-input single-output (SISO) systems. To attenuate the effect of both of the approximation errors and the external disturbances to a prescribed level, two signals are added to the indirect adaptive fuzzy control law: the first deduced from a fuzzy system allows approximation errors and external disturbances to eliminated; the second signal deduced from the Riccati equation attenuates the effect of the residual errors to a prescribed level. To illustrate the efficiency of the proposed approach, a simulation example is presented.
Keywords:Fuzzy systems  Fuzzy approximation  Adaptive fuzzy approach  H tracking control  Robust tracking design  Nonlinear SISO systems
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