Abstract
In this note, an implicit inversion approach is introduced to avoid difficulties associated with stability analysis in the direct application of inversion for operator-based hysteresis models. Based on this implicit inversion, an adaptive control algorithm is formulated for continuous-time linear dynamical systems preceded with hysteresis nonlinearities described by the Prandtl-Ishlinskii model. A stability analysis of the controlled system is performed to show that zero-output tracking error can be achieved. Simulation results show the effectiveness of the proposed algorithm.
| Original language | English |
|---|---|
| Article number | 5491113 |
| Pages (from-to) | 2357-2363 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 55 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2010 Oct |
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Keywords
- Adaptive control
- continuous-time systems
- hysteresis
- PrandtlIshlinskii model
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Control and Systems Engineering
- Computer Science Applications
Cite this
Adaptive control for uncertain continuous-time systems using implicit inversion of Prandtl-Ishlinskii hysteresis representation. / Chen, Xinkai; Hisayama, Takeshi; Su, Chun Yi.
In: IEEE Transactions on Automatic Control, Vol. 55, No. 10, 5491113, 10.2010, p. 2357-2363.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Adaptive control for uncertain continuous-time systems using implicit inversion of Prandtl-Ishlinskii hysteresis representation
AU - Chen, Xinkai
AU - Hisayama, Takeshi
AU - Su, Chun Yi
PY - 2010/10
Y1 - 2010/10
N2 - In this note, an implicit inversion approach is introduced to avoid difficulties associated with stability analysis in the direct application of inversion for operator-based hysteresis models. Based on this implicit inversion, an adaptive control algorithm is formulated for continuous-time linear dynamical systems preceded with hysteresis nonlinearities described by the Prandtl-Ishlinskii model. A stability analysis of the controlled system is performed to show that zero-output tracking error can be achieved. Simulation results show the effectiveness of the proposed algorithm.
AB - In this note, an implicit inversion approach is introduced to avoid difficulties associated with stability analysis in the direct application of inversion for operator-based hysteresis models. Based on this implicit inversion, an adaptive control algorithm is formulated for continuous-time linear dynamical systems preceded with hysteresis nonlinearities described by the Prandtl-Ishlinskii model. A stability analysis of the controlled system is performed to show that zero-output tracking error can be achieved. Simulation results show the effectiveness of the proposed algorithm.
KW - Adaptive control
KW - continuous-time systems
KW - hysteresis
KW - PrandtlIshlinskii model
UR - http://www.scopus.com/inward/record.url?scp=77957716711&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77957716711&partnerID=8YFLogxK
U2 - 10.1109/TAC.2010.2053737
DO - 10.1109/TAC.2010.2053737
M3 - Article
VL - 55
SP - 2357
EP - 2363
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 10
M1 - 5491113
ER -