A Reconstruction Procedure Associated with Switching Lyapunov Function for Relaxing Stability Assurance of T-S Fuzzy Mode

作者:Juang Yau Tarng; Huang Chih Peng*; Yan Chung Lin
来源:Mathematical Problems in Engineering, 2015, 2015: 147817.
DOI:10.1155/2015/147817

摘要

This paper proposes a novel reconstruction procedure to lessen the conservatism of stability assurance of T-S Fuzzy Mode. By dividing the state variables into some bounded regions, the considered T-S fuzzy model can be first transferred to an alternative formvia a reconstructing procedure. Thus, we can attain some relaxing stability criteria based on the switching quadratic Lyapunov SQLF) method. Notably, these proposed conditions are explicitly formulated by linear matrix inequality (LMI) form and can handily be evaluated by current software tools. Finally some illustrative examples are given to experimentally demonstrate the validity and merit of the proposed method.