TY - GEN
T1 - Time-delayed feedback control of chaotic T-S fuzzy systems
AU - Song, Min Kook
AU - Park, Jin Bae
AU - Joo, Young Hoon
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
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U2 - 10.1109/ICCSCE.2011.6190557
DO - 10.1109/ICCSCE.2011.6190557
M3 - Conference contribution
AN - SCOPUS:84862087592
SN - 9781457716423
T3 - Proceedings - 2011 IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2011
SP - 387
EP - 392
BT - Proceedings - 2011 IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2011
T2 - 2011 IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2011
Y2 - 25 November 2011 through 27 November 2011
ER -