Control of pendulum-like system with multiple nonlinearities

Hua Ouyang; Ian Richard Petersen; Valery Ugrinovskii

doi:10.3182/20080706-5-KR-1001.3300

Control of pendulum-like system with multiple nonlinearities

Hua Ouyang, Ian Richard Petersen, Valery Ugrinovskii

School of Engineering and Digital Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition	1 PART 1
DOIs	https://doi.org/10.3182/20080706-5-KR-1001.3300
Publication status	Published - Dec 1 2008
Event	17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of Duration: Jul 6 2008 → Jul 11 2008

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	17
ISSN (Print)	1474-6670

Other

Other	17th World Congress, International Federation of Automatic Control, IFAC
Country	Korea, Republic of
City	Seoul
Period	7/6/08 → 7/11/08

Keywords

Application of nonlinear analysis and design
Nonlinear system control
Robustness analysis

ASJC Scopus subject areas

Control and Systems Engineering

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

Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1. ed. 2008. (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1).

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

Ouyang, H, Petersen, IR & Ugrinovskii, V 2008, Control of pendulum-like system with multiple nonlinearities. in Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1 PART 1, 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

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