H∞ robust stabilization of nonlinear system : Fuzzy system approach

The paper presents a synthesis of fuzzy H
^∞
robust controller for a nonlinear multivariable systems. A detailed description of fuzzy models was presented, where system dynamics were modeled using T-S fuzzy system. The article also presents the mathematical formulation of the proposed controller, through which an H
^∞
fuzzy robust controller design was formulated as LMI formulation. A closed loop fuzzy control system with a Lyapunov function was derived and reduced to an LMI formulation. That was achieved for every sub-model. The designed controller has shown to be having robust behavior in terms of disturbances attenuation and has achieved a stabilization behavior as depicted from time and frequency responses.