Stability and control of fuzzy time delay systems with unmatched preconditions

摘要

The stability and control of nonlinear time-delay systems of Takagi-Sugeno (T-S) fuzzy model are studied in this paper. The integral inequality of a free weight matrix is chosen to give a less conservative delay-dependent stability criterion in the form of linear matrix inequalities (LMIs). The premise mismatch strategy is applied, it is combined with Finsler lemma, a more flexible design method of fuzzy state feedback controller is proposed. This method does not require the controller and system to share the common premise membership function and the number of rules. The controller design strategy proposed in this paper can effectively solve the control problem of fuzzy systems when the number of state variables is not equal to the number of input variables (r not equal c), or m(i)(x(t)) not equal hi(x(t)); i = 1, 2, ..., r. Finally, two simulation examples are given to prove the advancement and effectiveness of the proposed theory.