Output feedback Lagrange stabilization for pendulum-like systems with multiple nonlinearities

Hua Ouyang, Ian R. Petersen, Valery Ugrinovskii

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


This paper addresses an output feedback Lagrange stabilization problem for pendulum-like systems with multiple nonlinearities. A method based on output feedback pseudo H control is developed to solve the output feedback Lagrange stabilization problem. This method is based on a new Lagrange stability criterion which does not require the linear part of the pendulum-like system to be minimal. To illustrate the efficacy of the proposed method, an example involving coupled pendulums is considered which can be regarded as a prototype of many practical interconnected oscillating systems.

Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
Publication statusPublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
ISSN (Print)1474-6670


  • Connected pendulums
  • Lagrange stability
  • Nonlinear system
  • Output feedback Lagrange stabilization
  • Pendulum-like system

ASJC Scopus subject areas

  • Control and Systems Engineering

Fingerprint Dive into the research topics of 'Output feedback Lagrange stabilization for pendulum-like systems with multiple nonlinearities'. Together they form a unique fingerprint.

Cite this