Stability guaranteed sliding controller design subject to low gain switching

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationProceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011
Pages324-329
Number of pages6
DOIs
Publication statusPublished - 2011 Nov 10
Event2011 International Conference on Fluid Power and Mechatronics, FPM 2011 - Beijing, China
Duration: 2011 Aug 172011 Aug 20

Publication series

NameProceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011

Other

Other2011 International Conference on Fluid Power and Mechatronics, FPM 2011
CountryChina
CityBeijing
Period11-08-1711-08-20

Fingerprint

Controllers
Linear matrix inequalities
System stability
Degradation

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Electrical and Electronic Engineering
  • Mechanical Engineering

Cite this

Peng, C-C., & Chen, C-L. (2011). Stability guaranteed sliding controller design subject to low gain switching. In Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011 (pp. 324-329). [6045782] (Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011). https://doi.org/10.1109/FPM.2011.6045782
Peng, Chao-Chung ; Chen, Chieh-Li. / Stability guaranteed sliding controller design subject to low gain switching. Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011. 2011. pp. 324-329 (Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011).
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Peng, C-C & Chen, C-L 2011, Stability guaranteed sliding controller design subject to low gain switching. in Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011., 6045782, Proceedings of 2011 International Conference on Fluid Power and Mechatronics, FPM 2011, pp. 324-329, 2011 International Conference on Fluid Power and Mechatronics, FPM 2011, Beijing, China, 11-08-17. https://doi.org/10.1109/FPM.2011.6045782

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 proceedingConference contribution

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Peng C-C, Chen C-L. Stability guaranteed sliding controller design subject to low gain switching. In 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). https://doi.org/10.1109/FPM.2011.6045782