Decentralized parametric stabilization of quantized interconnected systems with application to coupled inverted pendulums

Ning Chen, Guisheng Zhai, Yuqian Guo, Weihua Gui, Xiaoyu Shen

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

Abstract

This paper studies the analysis of parametric stability and decentralized state feedback control of a kind of quantized interconnected systems. The output of each controller is quantized logarithmically before it is input to the subsystem, and the quantized density would affect the stability of the systems. First, a decentralized state feedback controller is designed for interconnected systems without quantization and the corresponding stable region is obtained. Second, for a given controller, the lower bound of the quantization density is evaluated from parameters of local controllers. Finally, the proposed method is applied to coupled inverted pendulums systems which can be viewed as quantized interconnected systems. The simulation results show that by using the proposed quantized controllers, the interconnected inverted pendulum systems are parametrically stabilized.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages43-50
Number of pages8
Volume13
EditionPART 1
DOIs
Publication statusPublished - 2013
Event13th IFAC Symposium on Large Scale Complex Systems: Theory and Applications, LSS 2013 - Shanghai, China
Duration: 2013 Jul 72013 Jul 10

Other

Other13th IFAC Symposium on Large Scale Complex Systems: Theory and Applications, LSS 2013
CountryChina
CityShanghai
Period13/7/713/7/10

Fingerprint

Pendulums
Large scale systems
Stabilization
Controllers
State feedback
Feedback control

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Chen, N., Zhai, G., Guo, Y., Gui, W., & Shen, X. (2013). Decentralized parametric stabilization of quantized interconnected systems with application to coupled inverted pendulums. In IFAC Proceedings Volumes (IFAC-PapersOnline) (PART 1 ed., Vol. 13, pp. 43-50) https://doi.org/10.3182/20130708-3-CN-2036.00021

Decentralized parametric stabilization of quantized interconnected systems with application to coupled inverted pendulums. / Chen, Ning; Zhai, Guisheng; Guo, Yuqian; Gui, Weihua; Shen, Xiaoyu.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 13 PART 1. ed. 2013. p. 43-50.

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

Chen, N, Zhai, G, Guo, Y, Gui, W & Shen, X 2013, Decentralized parametric stabilization of quantized interconnected systems with application to coupled inverted pendulums. in IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 edn, vol. 13, pp. 43-50, 13th IFAC Symposium on Large Scale Complex Systems: Theory and Applications, LSS 2013, Shanghai, China, 13/7/7. https://doi.org/10.3182/20130708-3-CN-2036.00021
Chen, Ning ; Zhai, Guisheng ; Guo, Yuqian ; Gui, Weihua ; Shen, Xiaoyu. / Decentralized parametric stabilization of quantized interconnected systems with application to coupled inverted pendulums. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 13 PART 1. ed. 2013. pp. 43-50
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