Hybrid feedback stabilization of fuzzy nonlinear systems

This paper is concerned with the problem of stabilizing one family of fuzzy nonlinear systems by means of fuzzy quantized feedback. the hybrid control strategy originating in earlier work by brockett and liberzon(2000) and liberzon (2003) relies on the possibility of making discrete online adjustments of quantizer parameters. we explore this method here for one class of fuzzy nonlinear systems with fuzzy quantizers affecting the state of the system. new results on the stabilization of the family of fuzzy nonlinear systems are obtained by choosing appropriately quantized strategies. finally,an illustrative example is given to demonstrate the effectiveness of the proposed method. © 2011 yingqi zhang et al.