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PARALLEL SIMULTANEOUS STABILIZATION OF A SET OF PORT-CONTROLLED HAMILTONIAN SYSTEMS SUBJECT TO ACTUATOR SATURATION
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2011 (English)In: Journal of Systems Science and Complexity, ISSN 1009-6124, E-ISSN 1559-7067, Vol. 24, no 1, 120-139 p.Article in journal (Refereed) Published
Abstract [en]

This paper investigates parallel simultaneous stabilization (PSS) of a set of multi-input nonlinear Port-Controlled Hamiltonian (PCH) systems subject to actuator saturation (AS), and proposes a number of results on the design of PSS controllers for the PCH systems with AS. Firstly, the case of two PCH systems with AS is studied. Exploring the special property of the saturation nonlinearity and the structural properties of dissipative Hamiltonian system, the two systems are combined to generate an augmented PCH system, with which some results on the control design are then obtained. When there are external disturbances in the two systems, a robust PSS controller is designed for the systems. Secondly, the case of more than two PCH systems with AS is investigated, and several new results are proposed for the PSS problem. Finally, two illustrative examples are presented to show that the stabilization controllers obtained in this paper work very well.

Place, publisher, year, edition, pages
2011. Vol. 24, no 1, 120-139 p.
Keyword [en]
Actuator saturation, PCH system, robust parallel simultaneous stabilization
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-31622DOI: 10.1007/s11424-011-8177-2ISI: 000287950300010Scopus ID: 2-s2.0-79551700602OAI: oai:DiVA.org:kth-31622DiVA: diva2:406053
Funder
ICT - The Next Generation
Note
QC 20110324Available from: 2011-03-24 Created: 2011-03-21 Last updated: 2017-12-11Bibliographically approved

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Hu, Xiaoming

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