Abstract
When constructing conventional sliding control law, it is well known that the magnitude of a particular discontinuous control effort must be chosen sufficiently large to counteract any mismatch between the model used for controller design and the real system. However, this usually leads to conservative designs with strong discontinuity appearing in the control signals. Techniques are available to smooth the discontinuity, but these cause performance degradations. In addition for an arbitrary given small switching gain, the approaching phase might not be fulfilled immediately and thus the system stability might not be guaranteed. Consequently, this paper develops a stability guaranteed sliding controller subject to light and size-fixed switching effort. The design problem is formulated as certain constrained feasibility problems, which are solved by using linear matrix inequalities (LMIs). Therefore, high gain behavior can be avoided. By using the low gain based sliding controller, prescribed sliding modes can be attained in finite time for any arbitrary given initial positions.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011 |
| Pages | 324-329 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 2011 Nov 10 |
| Event | 2011 International Conference on Fluid Power and Mechatronics, FPM 2011 - Beijing, China Duration: 2011 Aug 17 → 2011 Aug 20 |
Publication series
| Name | Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011 |
|---|
Other
| Other | 2011 International Conference on Fluid Power and Mechatronics, FPM 2011 |
|---|---|
| Country | China |
| City | Beijing |
| Period | 11-08-17 → 11-08-20 |
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All Science Journal Classification (ASJC) codes
- Fluid Flow and Transfer Processes
- Electrical and Electronic Engineering
- Mechanical Engineering
Cite this
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Stability guaranteed sliding controller design subject to low gain switching. / Peng, Chao-Chung; Chen, Chieh-Li.
Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011. 2011. p. 324-329 6045782 (Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Stability guaranteed sliding controller design subject to low gain switching
AU - Peng, Chao-Chung
AU - Chen, Chieh-Li
PY - 2011/11/10
Y1 - 2011/11/10
N2 - When constructing conventional sliding control law, it is well known that the magnitude of a particular discontinuous control effort must be chosen sufficiently large to counteract any mismatch between the model used for controller design and the real system. However, this usually leads to conservative designs with strong discontinuity appearing in the control signals. Techniques are available to smooth the discontinuity, but these cause performance degradations. In addition for an arbitrary given small switching gain, the approaching phase might not be fulfilled immediately and thus the system stability might not be guaranteed. Consequently, this paper develops a stability guaranteed sliding controller subject to light and size-fixed switching effort. The design problem is formulated as certain constrained feasibility problems, which are solved by using linear matrix inequalities (LMIs). Therefore, high gain behavior can be avoided. By using the low gain based sliding controller, prescribed sliding modes can be attained in finite time for any arbitrary given initial positions.
AB - When constructing conventional sliding control law, it is well known that the magnitude of a particular discontinuous control effort must be chosen sufficiently large to counteract any mismatch between the model used for controller design and the real system. However, this usually leads to conservative designs with strong discontinuity appearing in the control signals. Techniques are available to smooth the discontinuity, but these cause performance degradations. In addition for an arbitrary given small switching gain, the approaching phase might not be fulfilled immediately and thus the system stability might not be guaranteed. Consequently, this paper develops a stability guaranteed sliding controller subject to light and size-fixed switching effort. The design problem is formulated as certain constrained feasibility problems, which are solved by using linear matrix inequalities (LMIs). Therefore, high gain behavior can be avoided. By using the low gain based sliding controller, prescribed sliding modes can be attained in finite time for any arbitrary given initial positions.
UR - http://www.scopus.com/inward/record.url?scp=80555133139&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80555133139&partnerID=8YFLogxK
U2 - 10.1109/FPM.2011.6045782
DO - 10.1109/FPM.2011.6045782
M3 - Conference contribution
SN - 9781424484522
T3 - Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011
SP - 324
EP - 329
BT - Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011
ER -