Robust admissible condition of fuzzy discrete descriptor systems: strict LMI approach

The robust admissible conditions for T-S fuzzy discrete descriptor systems are investigated. Based on the new strict linear matrix inequalities(LMIs), the admissible conditions for open-loop nominal system are given. By introducing a new matrix variable, we established the sufficient conditions in terms of strict LMIs for robust controller design; the closedloop system is regular, causal and stable for all parameter uncertainties. Numerical examples are provided to illustrate the effectiveness of the proposed design method.