Adaptive parallel simultaneous stabilization of a set of uncertain port-controlled hamiltonian systems subject to actuator saturation

• Published in: International journal of adaptive control and signal processing Vol. 28; no. 11; pp. 1128 - 1144
• Main Authors: Wei, Airong, Wang, Yuzhen
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 01.11.2014; Wiley Subscription Services, Inc
• Subjects: actuator saturation; Actuators; Adaptive control systems; adaptive parallel simultaneous stabilization; Control systems; Controllers; Design engineering; Disturbances; H ∞ control; nonlinear affine system; PCH system; Saturation; Stabilization
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.2433

SUMMARYThis paper investigates adaptive parallel simultaneous stabilization (APSS) of a set of uncertain nonlinear port‐controlled Hamiltonian (PCH) systems subject to actuator saturation and proposes a number of results on the design of the APSS controllers. First, the case of two PCH systems is studied. Using both the dissipative Hamiltonian structural and saturated actuator properties, the two systems are combined to generate an augmented PCH system, with which, some results on the control designs are then obtained. When there are external disturbances in the two systems, an H ∞  APSS controller is designed for the systems. Second, the case of more than two uncertain PCH systems subject to actuator saturation is investigated, and several new results are proposed for the APSS problem. Finally, an illustrative example is presented to show that the adaptive stabilization controllers obtained in this paper work very well. Copyright © 2013 John Wiley & Sons, Ltd.