TY - GEN
T1 - Adaptive control of unknown dynamic hysteretic systems
AU - Chen, Xinkai
AU - Hisayama, Takeshi
AU - Su, Chun Yi
PY - 2008/12/1
Y1 - 2008/12/1
N2 - This paper first discusses the adaptive control for the hysteresis described by Prandtl-Ishlinskii model. Then, the adaptive control for the continuous-time linear dynamical systems preceded with hysteresis described by Prandtl-Ishlinskii model is considered. The relative degree and the upper bound of the order of the linear dynamical system are assumed to be known. The contribution of the paper is the fusion of the hysteresis model with the adaptive control techniques. Only the parameters (which are generated from the parameters of the linear system and the density function of the hysteresis) directly needed in the formulation of the controller are adaptively estimated online. The output tracking error can be controlled to approach to zero. Simulation results show the effectiveness of the proposed algorithm.
AB - This paper first discusses the adaptive control for the hysteresis described by Prandtl-Ishlinskii model. Then, the adaptive control for the continuous-time linear dynamical systems preceded with hysteresis described by Prandtl-Ishlinskii model is considered. The relative degree and the upper bound of the order of the linear dynamical system are assumed to be known. The contribution of the paper is the fusion of the hysteresis model with the adaptive control techniques. Only the parameters (which are generated from the parameters of the linear system and the density function of the hysteresis) directly needed in the formulation of the controller are adaptively estimated online. The output tracking error can be controlled to approach to zero. Simulation results show the effectiveness of the proposed algorithm.
KW - Adaptive control
KW - Non-smooth and discontinuous optimal control problems
KW - Robust control
UR - http://www.scopus.com/inward/record.url?scp=79961018638&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79961018638&partnerID=8YFLogxK
U2 - 10.3182/20080706-5-KR-1001.2925
DO - 10.3182/20080706-5-KR-1001.2925
M3 - Conference contribution
AN - SCOPUS:79961018638
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -