DocumentCode :
2913729
Title :
Relaxed delay-dependent stabilization conditions for discrete-time fuzzy systems with time delays
Author :
Kim, Sung Hyun ; Lee, Chang Hee ; Park, PooGyeon
Author_Institution :
Div. of Electr. & Comput. Eng., Pohang Univ. of Sci. & Technol., Pohang
fYear :
2008
fDate :
17-20 Dec. 2008
Firstpage :
999
Lastpage :
1004
Abstract :
Based on fuzzy weighting-dependent Lyapunov-Krasovskii functional (FWLKF), this paper proposes a method of designing a delay-dependent fuzzy controller for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delays. To derive a less conservative delay-dependent stabilization condition, the method enhances the interactions among the fuzz subsystems using FWLKF with quadratic dependence on fuzzy weighting functions, where all the decision variables of FWLKF are set to be associated with the fuzzy weighting functions. Besides, this paper sets the overall controller to be dependent on not only the current-time but also the delay-time information on the fuzzy weighting functions. In the derivation, the stabilization condition is first formulated in terms of parameterized linear matrix inequalities (PLMIs), and then is reconverted LMIs based on several relaxation techniques.
Keywords :
Lyapunov matrix equations; control system synthesis; delays; discrete time systems; fuzzy control; fuzzy systems; linear matrix inequalities; stability; discrete-time Takagi-Sugeno fuzzy system; fuzzy control; fuzzy weighting function; fuzzy weighting-dependent Lyapunov-Krasovskii function; parameterized linear matrix inequality; relaxed delay-dependent stabilization; Automatic control; Delay effects; Fuzzy systems; Robot control; Robot vision systems; Robotics and automation; Time-delay system; fuzzy weighting-dependent Lyapunov-Krasovskii functional (FWLKF); parameterized linear matrix inequalities (PLMIs);
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control, Automation, Robotics and Vision, 2008. ICARCV 2008. 10th International Conference on
Conference_Location :
Hanoi
Print_ISBN :
978-1-4244-2286-9
Electronic_ISBN :
978-1-4244-2287-6
Type :
conf
DOI :
10.1109/ICARCV.2008.4795655
Filename :
4795655
Link To Document :
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