A new control scheme for non-affine nonlinear discrete-time systems

Yajun Zhang, Tianyou Chai, Xinkai Chen, Jun Fu

Research output: ResearchConference contribution

Abstract

In this paper, a new nonlinear control method is developed for a class of single input single output (SISO) non-affine nonlinear discrete-time system. The key strategy is to decompose the un-modeled dynamics into the sum of a known function depending on the data from the previous one time step and an unknown increment. The former is used to compensate for the un-modeled dynamics approximately. A new nonlinear controller is proposed to achieve stability meanwhile improving the performance of the closed-loop systems, which is different from those switching-based methods in the literature. Finally, through simulation based comparative studies, the effectiveness of the proposed method are justified.

LanguageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6312-6317
Number of pages6
Volume2016-February
ISBN (Print)9781479978861
DOIs
StatePublished - 2016 Feb 8
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: 2015 Dec 152015 Dec 18

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period15/12/1515/12/18

Fingerprint

Closed loop systems
Controllers

Keywords

  • Closed loop systems
  • Convergence
  • Mathematical model
  • Nonlinear dynamical systems
  • Stability analysis

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Zhang, Y., Chai, T., Chen, X., & Fu, J. (2016). A new control scheme for non-affine nonlinear discrete-time systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2016-February, pp. 6312-6317). [7403213] Institute of Electrical and Electronics Engineers Inc.. DOI: 10.1109/CDC.2015.7403213

A new control scheme for non-affine nonlinear discrete-time systems. / Zhang, Yajun; Chai, Tianyou; Chen, Xinkai; Fu, Jun.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. p. 6312-6317 7403213.

Research output: ResearchConference contribution

Zhang, Y, Chai, T, Chen, X & Fu, J 2016, A new control scheme for non-affine nonlinear discrete-time systems. in Proceedings of the IEEE Conference on Decision and Control. vol. 2016-February, 7403213, Institute of Electrical and Electronics Engineers Inc., pp. 6312-6317, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15/12/15. DOI: 10.1109/CDC.2015.7403213
Zhang Y, Chai T, Chen X, Fu J. A new control scheme for non-affine nonlinear discrete-time systems. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February. Institute of Electrical and Electronics Engineers Inc.2016. p. 6312-6317. 7403213. Available from, DOI: 10.1109/CDC.2015.7403213
Zhang, Yajun ; Chai, Tianyou ; Chen, Xinkai ; Fu, Jun. / A new control scheme for non-affine nonlinear discrete-time systems. Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. pp. 6312-6317
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