Sliding mode methodology and LMIs based controller design for performance enhancement and chattering reduction

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

2 Citations (Scopus)

Abstract

Based on the main concept of sliding mode control (SMC) theory, this study proposes a robust control law for a class of multivariable linear uncertain systems. As in conventional SMC, the developed method provides robustness against to matched model uncertainty and unknown external disturbances. A control gain used for system transformation is obtained by incorporating linear matrix inequalities (LMIs) such that the resulting reduced order dynamics is robust stable in the face of unmatched model uncertainty. In addition, the LMIs are further refined to achieve better performance and smaller control effort. Moreover, a continuous controller is finally designed for chattering elimination. Building on the synthetic control framework, all the controlled system trajectories are ultimately bounded by a disc, where the radius decreases as time increases and therefore arbitrary control precision is achieved.

Original languageEnglish
Title of host publication2009 IEEE International Conference on Control and Automation, ICCA 2009
Pages1074-1079
Number of pages6
DOIs
Publication statusPublished - 2009
Event2009 IEEE International Conference on Control and Automation, ICCA 2009 - Christchurch, New Zealand
Duration: 2009 Dec 92009 Dec 11

Other

Other2009 IEEE International Conference on Control and Automation, ICCA 2009
CountryNew Zealand
CityChristchurch
Period09-12-0909-12-11

Fingerprint

Linear matrix inequalities
Sliding mode control
Controllers
Uncertain systems
Gain control
Robust control
Robustness (control systems)
Control theory
Trajectories
Uncertainty

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Human-Computer Interaction
  • Control and Systems Engineering

Cite this

Chen, T. T., Peng, C-C., & Chen, C-L. (2009). Sliding mode methodology and LMIs based controller design for performance enhancement and chattering reduction. In 2009 IEEE International Conference on Control and Automation, ICCA 2009 (pp. 1074-1079). [5410497] https://doi.org/10.1109/ICCA.2009.5410497
Chen, Tien Tzu ; Peng, Chao-Chung ; Chen, Chieh-Li. / Sliding mode methodology and LMIs based controller design for performance enhancement and chattering reduction. 2009 IEEE International Conference on Control and Automation, ICCA 2009. 2009. pp. 1074-1079
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Chen, TT, Peng, C-C & Chen, C-L 2009, Sliding mode methodology and LMIs based controller design for performance enhancement and chattering reduction. in 2009 IEEE International Conference on Control and Automation, ICCA 2009., 5410497, pp. 1074-1079, 2009 IEEE International Conference on Control and Automation, ICCA 2009, Christchurch, New Zealand, 09-12-09. https://doi.org/10.1109/ICCA.2009.5410497

Sliding mode methodology and LMIs based controller design for performance enhancement and chattering reduction. / Chen, Tien Tzu; Peng, Chao-Chung; Chen, Chieh-Li.

2009 IEEE International Conference on Control and Automation, ICCA 2009. 2009. p. 1074-1079 5410497.

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

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Chen TT, Peng C-C, Chen C-L. Sliding mode methodology and LMIs based controller design for performance enhancement and chattering reduction. In 2009 IEEE International Conference on Control and Automation, ICCA 2009. 2009. p. 1074-1079. 5410497 https://doi.org/10.1109/ICCA.2009.5410497