Abstract:

The problem of robust H∞control for a class of T-S uncertain fuzzy systems has been studied,as well as the sufficient conditions,which maintain the robust H_∞control of the whole fuzzy systems based on the full order fuzzy dynamic output feedback controller. On this basis,the matrix is divided into two nonsingular matrices,and the sufficient condition is transformed into linear matrix inequalities(LMIs),in order to solve the question by software Matlab. What's more,the matrices of dynamic output feedback controller,which are to be determined,can be obtained by the relationship of matrices in sufficient conditions. The full order fuzzy dynamic output feedback controller is used to study the problem of stability for fuzzy uncertain systems,and the robust fuzzy H_∞control problem is also discussed. Furthermore the final numerical example is included to show the effectiveness of the proposed method.

Key words: uncertain system, dynamic output feedback controller, linear matrix inequalities, H_∞performance indicators