Title :
Improved stabilization results of fuzzy systems under variable sampling
Author :
Shang, Zhanlei ; Wang, Jun ; Deng, Yiqun
Author_Institution :
Sch. of Comput. Sci. & Commun. Eng., Zhengzhou Univ. of Light Ind., Zhengzhou, China
Abstract :
This paper investigates the problem of stabilization for sampled-data fuzzy systems under variable sampling. By eliminating redundant variables, and combining a convex combination technique with a delay decomposition method to deal with nonlinear time-varying coefficients derived from the Jensen´s integral inequality, less conservative and less complex stabilization criteria are formulated as linear matrix inequalities (LMIs). An illustrative example is given to show the effectiveness and the improvement of the proposed method.
Keywords :
delays; fuzzy systems; linear matrix inequalities; sampled data systems; sampling methods; stability; convex combination technique; delay decomposition method; linear matrix inequalities; nonlinear time-varying coefficients; sampled-data fuzzy systems; variable sampling; Delay; Fuzzy systems; Linear matrix inequalities; Performance analysis; Stability criteria; Symmetric matrices; Sampled-data control; Takagi-Sugeno (T-S) fuzzy systems; fuzzy control; linear matrix inequalities (LMIs);
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968722