Title :
Non-common P stability/stabilizaion analysis via multiconvexity approach
Author :
Lo, Ji-Chang ; Wang, Yu Chi
Author_Institution :
Mech. Eng., Nat. Central Univ., Jhongli, Taiwan
Abstract :
A new stability condition in terms of LMIs is studied in this paper. Based on a premise-dependent Lyapunov function and multiconvexity, we release the conservatism that commonly exists in the common P approach. Comparison studies for common P and non-common P methods are demonstrated, showing relaxation is achieved via the proposed approach.
Keywords :
Lyapunov methods; continuous time systems; control system analysis; fuzzy control; fuzzy systems; linear matrix inequalities; relaxation theory; stability; LMI; common P approach; continuous-time Takagi-Sugeno fuzzy system; multiconvexity approach; noncommon P stability analysis; premise-dependent Lyapunov function; relaxation theory; stabilizaion analysis; Councils; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Mechanical engineering; Stability analysis; Sufficient conditions; System testing; Takagi-Sugeno model; Common P; Linear matrix inequality; Premise-dependent Lyapunov; Relaxation; Takagi-Sugeno fuzzy model;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277296
