Relaxed stabilization conditions for continuous-time T-S fuzzy system based on the descriptor system approach

The problems of relaxed stability analysis and stabilization of continuous-time T-S fuzzy systems are investigated via the descriptor system approach. Firstly, relaxed stability conditions for open-loop fuzzy systems are proposed by applying new additional variable introducing approach. Secondly, with the usage of the non-PDC control scheme, less conservative stabilization conditions are attained by both introducing additional variables and applying a kind of relaxed technique. Moreover, these obtained conditions are expressed in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness and the less conservatism of the proposed conditions.