DocumentCode :
1047461
Title :
Observer-Based Relaxed {{cal H}}_{\\infty } Control for Fuzzy Systems Using a Multiple Lyapunov Function
Author :
Kim, Sung Hyun ; Park, PooGyeon
Author_Institution :
Div. of Electr. & Comput. Eng., Pohang Univ. of Sci. & Technol., Pohang
Volume :
17
Issue :
2
fYear :
2009
fDate :
4/1/2009 12:00:00 AM
Firstpage :
477
Lastpage :
484
Abstract :
This short paper proposes a method of designing a fuzzy observer-based H infin controller for discrete-time Takagi-Sugeno (T-S) fuzzy systems. To enhance the applicability of the output-feedback controller and improve its performance, this short paper first builds a set of fuzzy control rules with premise variables different from those of the T-S fuzzy system, and sets the overall controller to be dependent on not only the current time but also the one-step-past information on the estimated fuzzy weighting functions. Then, based on the fuzzy control rules, this short paper establishes a less conservative H infin stabilization condition incorporated with a multiple Lyapunov function dependent on the estimated fuzzy weighting functions. Through a two-step design procedure, the H infin stabilization condition is formulated in terms of parameterized linear matrix equalities (PLMIs), which are reconverted into LMIs with the help of an efficient and effective relaxation scheme.
Keywords :
Hinfin control; Lyapunov methods; control system synthesis; discrete time systems; feedback; fuzzy control; linear matrix inequalities; observers; stability; Hinfin stabilization condition; discrete-time Takagi-Sugeno fuzzy systems; fuzzy control; fuzzy weighting functions; multiple Lyapunov function; observer-based relaxed Hinfin control; output-feedback controller; parameterized linear matrix equalities; ${{cal H}}_{infty }$ performance; Fuzzy weighting-dependent Lyapunov function (FWDLF); non-parallel distributed compensation (non-PDC) scheme; observer-based fuzzy control; parameterized linear matrix inequalities (PLMIs); relaxation scheme;
fLanguage :
English
Journal_Title :
Fuzzy Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
1063-6706
Type :
jour
DOI :
10.1109/TFUZZ.2008.2011136
Filename :
4729598
Link To Document :
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