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Disturbance tolerance and H∞ Control of Port-Controlled Hamiltonian systems in the presence of actuator saturation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2013 (English)In: Chinese Control Conf., CCC, 2013, 828-833 p.Conference paper (Refereed)
Abstract [en]

This paper investigates the disturbance tolerance and H∞ control of multi-input Port-Controlled Hamiltonian (PCH) systems in the presence of actuator saturation which may be not open-loop stable. A simple condition is derived under which trajectories starting from the origin will remain inside an ellipsoid. The disturbance tolerance ability of the closed-loop system under a given feedback control law is measured by the size of this ellipsoid. Based on the above mentioned condition, the problem of disturbance tolerance can be expressed in the form of the linear matrix inequalities (LMIs) optimization problem with constraints. In addition, an H∞ control approach is presented to attenuate the disturbances, and disturbance rejection ability in terms of L2 gain is also determined by the solution of an LMI optimization problem. Study of an illustrative example with simulations shows the effectiveness of the methods proposed.

Place, publisher, year, edition, pages
2013. 828-833 p.
, Chinese Control Conference, ISSN 1934-1768
Keyword [en]
actuator saturation, bounded ellipsoid, disturbance tolerance, H∞ control, PCH system
National Category
URN: urn:nbn:se:kth:diva-140049ScopusID: 2-s2.0-84890531102ISBN: 9789881563835OAI: diva2:689388
32nd Chinese Control Conference, CCC 2013, 26 July 2013 through 28 July 2013, Xi'an

QC 20140120

Available from: 2014-01-20 Created: 2014-01-16 Last updated: 2014-01-20Bibliographically approved

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Hu, Xiaoming
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