Observer-based H∞ control synthesis for fuzzy systems using LMI conditions

This work is concerned with the observer-based H_∞ control synthesis problem of Takagi-Sugeno (T-S) fuzzy systems with external disturbances. To investigate observer-based H_∞ control synthesis conditions, the closed loop dynamics are written by using a descriptor redundancy formulation. In contrast to the existing methods for observer-based H_∞ control synthesis, the key point of using the descriptor redundancy approach is to achieve conditions under a LMIs (linear matrix inequalities) formulation. This formulation facilitates obtaining solutions through optimization techniques. Finally, a numerical example will be given to show the efficiency of the proposed methods.