抄録
Control of nonlinear systems preceded by unknown hysteresis nonlinearities is a challenging task and has received increasing attention in recent years due to growing industrial demands involving varied applications. In the literature, many mathematical models have been proposed to describe the hysteresis nonlinearities. The challenge addressed here is how to fuse those hysteresis models with available robust control techniques to have the basic requirement of stability of the system. The purpose of the note is to show such a possibility by using the Prandtl-Ishlinskii (PI) hysteresis model. An adaptive variable structure control approach, serving as an illustration, is fused with the PI model without necessarily constructing a hysteresis inverse. The global stability of the system and tracking a desired trajectory to a certain precision are achieved. Simulation results attained for a nonlinear system are presented to illustrate and further validate the effectiveness of the proposed approach.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 2069-2074 |
| ページ数 | 6 |
| ジャーナル | IEEE Transactions on Automatic Control |
| 巻 | 50 |
| 発行部数 | 12 |
| DOI | |
| 出版物ステータス | Published - 2005 12 |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering
これを引用
Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis. / Su, Chun Yi; Wang, Qingqing; Chen, Xinkai; Rakheja, Subhash.
：: IEEE Transactions on Automatic Control, 巻 50, 番号 12, 12.2005, p. 2069-2074.研究成果: Article
}
TY - JOUR
T1 - Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis
AU - Su, Chun Yi
AU - Wang, Qingqing
AU - Chen, Xinkai
AU - Rakheja, Subhash
PY - 2005/12
Y1 - 2005/12
N2 - Control of nonlinear systems preceded by unknown hysteresis nonlinearities is a challenging task and has received increasing attention in recent years due to growing industrial demands involving varied applications. In the literature, many mathematical models have been proposed to describe the hysteresis nonlinearities. The challenge addressed here is how to fuse those hysteresis models with available robust control techniques to have the basic requirement of stability of the system. The purpose of the note is to show such a possibility by using the Prandtl-Ishlinskii (PI) hysteresis model. An adaptive variable structure control approach, serving as an illustration, is fused with the PI model without necessarily constructing a hysteresis inverse. The global stability of the system and tracking a desired trajectory to a certain precision are achieved. Simulation results attained for a nonlinear system are presented to illustrate and further validate the effectiveness of the proposed approach.
AB - Control of nonlinear systems preceded by unknown hysteresis nonlinearities is a challenging task and has received increasing attention in recent years due to growing industrial demands involving varied applications. In the literature, many mathematical models have been proposed to describe the hysteresis nonlinearities. The challenge addressed here is how to fuse those hysteresis models with available robust control techniques to have the basic requirement of stability of the system. The purpose of the note is to show such a possibility by using the Prandtl-Ishlinskii (PI) hysteresis model. An adaptive variable structure control approach, serving as an illustration, is fused with the PI model without necessarily constructing a hysteresis inverse. The global stability of the system and tracking a desired trajectory to a certain precision are achieved. Simulation results attained for a nonlinear system are presented to illustrate and further validate the effectiveness of the proposed approach.
KW - Adaptive control
KW - Cascade systems
KW - Hysteresis
KW - Nonlinear systems
KW - Prandtl-Ishlinskii (PI) hysteresis model
KW - Robust control
UR - http://www.scopus.com/inward/record.url?scp=30344433419&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=30344433419&partnerID=8YFLogxK
U2 - 10.1109/TAC.2005.860260
DO - 10.1109/TAC.2005.860260
M3 - Article
AN - SCOPUS:30344433419
VL - 50
SP - 2069
EP - 2074
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 12
ER -