Control of pendulum-like system with multiple nonlinearities

Hua Ouyang, Ian Richard Petersen, Valery Ugrinovskii

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

3 Citations (Scopus)

Abstract

This paper addresses a stability analysis problem and synthesis problem for pendulum-like systems with multiple nonlinearities. A method for analysing the Lagrange stability of a pendulum-like system with multiple nonlinearities is proposed. In order to study the synthesis problem, the paper develops an Extended Strict Bounded Real Lemma for unstable systems. A sufficient condition for Lagrange stabilization is proposed in terms of an algebraic Riccati equation with a sign infinite solution. An algorithm is given to solve the algebraic Riccati equation for a Lagrange stabilizing solution and thus gives a control law to stabilize the system in the sense of Lagrange stability.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume17
Edition1 PART 1
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: Jul 6 2008Jul 11 2008

Other

Other17th World Congress, International Federation of Automatic Control, IFAC
CountryKorea, Republic of
CitySeoul
Period7/6/087/11/08

Fingerprint

Pendulums
Riccati equations
Stabilization

Keywords

  • Application of nonlinear analysis and design
  • Nonlinear system control
  • Robustness analysis

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Ouyang, H., Petersen, I. R., & Ugrinovskii, V. (2008). Control of pendulum-like system with multiple nonlinearities. In IFAC Proceedings Volumes (IFAC-PapersOnline) (1 PART 1 ed., Vol. 17) https://doi.org/10.3182/20080706-5-KR-1001.3300

Control of pendulum-like system with multiple nonlinearities. / Ouyang, Hua; Petersen, Ian Richard; Ugrinovskii, Valery.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 17 1 PART 1. ed. 2008.

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

Ouyang, H, Petersen, IR & Ugrinovskii, V 2008, Control of pendulum-like system with multiple nonlinearities. in IFAC Proceedings Volumes (IFAC-PapersOnline). 1 PART 1 edn, vol. 17, 17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Korea, Republic of, 7/6/08. https://doi.org/10.3182/20080706-5-KR-1001.3300
Ouyang H, Petersen IR, Ugrinovskii V. Control of pendulum-like system with multiple nonlinearities. In IFAC Proceedings Volumes (IFAC-PapersOnline). 1 PART 1 ed. Vol. 17. 2008 https://doi.org/10.3182/20080706-5-KR-1001.3300
Ouyang, Hua ; Petersen, Ian Richard ; Ugrinovskii, Valery. / Control of pendulum-like system with multiple nonlinearities. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 17 1 PART 1. ed. 2008.
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