DocumentCode :
1940208
Title :
Time-delayed feedback control of chaotic T-S fuzzy systems
Author :
Song, Min Kook ; Park, Jin Bae ; Joo, Young Hoon
Author_Institution :
Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea
fYear :
2011
fDate :
25-27 Nov. 2011
Firstpage :
387
Lastpage :
392
Abstract :
This paper deals with the time-delayed feedback control of periodic orbits in the chaotic T-S fuzzy systems. A chaotic system has embedded within it an infinite number of unstable periodic orbits (UPO´s). Tracking UPO´s is of particular interest in chaos-control research. A novel and efficient idea is to control by means of time-delayed feedback control (TDFC). Recently, a number of analytic T-S fuzzy systems for the chaotic systems have been found. Thus it is interesting to design a controller under the framework of TDFC. A analytic sufficient condition for the chaotic T-S fuzzy systems from the TDFC approach is derived in terms of linear matrix inequalities (LMIs). A gradient-decent based adaptation algorithm is incorporated with the fuzzy-model-based TDFC to estimate the period of the UPO. The established theoretical results are clarified by the numerical example.
Keywords :
control system synthesis; delays; feedback; fuzzy control; fuzzy systems; gradient methods; linear matrix inequalities; nonlinear dynamical systems; periodic control; time-varying systems; TDFC; UPO tracking; analytic sufficient condition; chaos control research; chaotic T-S fuzzy system; controller design; fuzzy model; gradient decent based adaptation algorithm; linear matrix inequality; period estimation; time delayed feedback control; unstable periodic orbit; Chaos; Feedback control; Fuzzy systems; Linear matrix inequalities; Orbits; Trajectory; Chaotic Takagi-Sugeno fuzzy systems; Duffing-like chaotic oscilator; Razumikhin stability; linear matrix inequality; time-delayed feedback;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control System, Computing and Engineering (ICCSCE), 2011 IEEE International Conference on
Conference_Location :
Penang
Print_ISBN :
978-1-4577-1640-9
Type :
conf
DOI :
10.1109/ICCSCE.2011.6190557
Filename :
6190557
Link To Document :
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