Abstract
This paper discusses the adaptive control for the uncertain discrete time linear systems preceded with hysteresis and disturbances. The contribution of the paper is the fusion of the hysteresis model with the adaptive control techniques without constructing the inverse hysteresis nonlinearity. The proposed scheme eliminates the traditional overparameterization by only adapting 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 sliding mode controller. The stability in the sense that all signals in the loop remain bounded can be guaranteed. Furthermore, if the disturbance and reference signal are slow varying with respect to the sampling frequency, the output tracking error can be controlled to be as small as required by choosing the design parameters. Simulation results show the effectiveness of the proposed algorithm.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007 |
| Pages | 533-538 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 2007 |
| Event | 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007 - Harbin Duration: 2007 Aug 5 → 2007 Aug 8 |
Other
| Other | 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007 |
|---|---|
| City | Harbin |
| Period | 07/8/5 → 07/8/8 |
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Keywords
- Hysteresis
- Robust control
- Uncertainty
ASJC Scopus subject areas
- Artificial Intelligence
- Software
- Control and Systems Engineering
- Mechanical Engineering
Cite this
Robust control for the uncertain systems preceded by hysteresis. / Chen, Xinkai.
Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007. 2007. p. 533-538 4303599.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Robust control for the uncertain systems preceded by hysteresis
AU - Chen, Xinkai
PY - 2007
Y1 - 2007
N2 - This paper discusses the adaptive control for the uncertain discrete time linear systems preceded with hysteresis and disturbances. The contribution of the paper is the fusion of the hysteresis model with the adaptive control techniques without constructing the inverse hysteresis nonlinearity. The proposed scheme eliminates the traditional overparameterization by only adapting 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 sliding mode controller. The stability in the sense that all signals in the loop remain bounded can be guaranteed. Furthermore, if the disturbance and reference signal are slow varying with respect to the sampling frequency, the output tracking error can be controlled to be as small as required by choosing the design parameters. Simulation results show the effectiveness of the proposed algorithm.
AB - This paper discusses the adaptive control for the uncertain discrete time linear systems preceded with hysteresis and disturbances. The contribution of the paper is the fusion of the hysteresis model with the adaptive control techniques without constructing the inverse hysteresis nonlinearity. The proposed scheme eliminates the traditional overparameterization by only adapting 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 sliding mode controller. The stability in the sense that all signals in the loop remain bounded can be guaranteed. Furthermore, if the disturbance and reference signal are slow varying with respect to the sampling frequency, the output tracking error can be controlled to be as small as required by choosing the design parameters. Simulation results show the effectiveness of the proposed algorithm.
KW - Hysteresis
KW - Robust control
KW - Uncertainty
UR - http://www.scopus.com/inward/record.url?scp=37049037505&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=37049037505&partnerID=8YFLogxK
U2 - 10.1109/ICMA.2007.4303599
DO - 10.1109/ICMA.2007.4303599
M3 - Conference contribution
AN - SCOPUS:37049037505
SN - 1424408288
SN - 9781424408283
SP - 533
EP - 538
BT - Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007
ER -