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

Yajun Zhang; Tianyou Chai; Xinkai Chen; Jun Fu

doi:10.1109/CDC.2015.7403213

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

Yajun Zhang, Tianyou Chai, Xinkai Chen, Jun Fu

Research output: Chapter in Book/Report/Conference proceeding › Conference 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.

Original language	English
Title of host publication	54rd IEEE Conference on Decision and Control,CDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6312-6317
Number of pages	6
ISBN (Electronic)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7403213
Publication status	Published - 2015 Feb 8
Event	54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 2015 Dec 15 → 2015 Dec 18

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	54th IEEE Conference on Decision and Control, CDC 2015
Country/Territory	Japan
City	Osaka
Period	15/12/15 → 15/12/18

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

Access to Document

10.1109/CDC.2015.7403213

Cite this

Zhang, Y., Chai, T., Chen, X., & Fu, J. (2015). A new control scheme for non-affine nonlinear discrete-time systems. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 6312-6317). [7403213] (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7403213

A new control scheme for non-affine nonlinear discrete-time systems. / Zhang, Yajun; Chai, Tianyou; Chen, Xinkai et al.
54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 6312-6317 7403213 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zhang, Y, Chai, T, Chen, X & Fu, J 2015, A new control scheme for non-affine nonlinear discrete-time systems. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7403213, Proceedings of the IEEE Conference on Decision and Control, vol. 54rd IEEE Conference on Decision and Control,CDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 6312-6317, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7403213

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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.",

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

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Keywords

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