Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Trajectory Tracking Control of Port-Controlled Hamiltonian Systems via Generalized Canonical Transformations
Kenji FUJIMOTOKazunori SAKURAMAToshiharu SUGIE
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2001 Volume 37 Issue 8 Pages 741-747

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Abstract
This paper is devoted to trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations. A general framework of tracking control of those systems utilizing the passivity property is proposed. Firstly, how to construct an error system, which describes the dynamics of the tracking error, by a passive port-controlled Hamiltonian system is shown. Secondly, a practical procedure to construct tracking controllers of port-controlled Hamiltonian systems including nonholonomic systems are derived. Finally, a simple example of tracking control of a nonholonomic system demonstrates the effectiveness of the proposed method. This method is a natural extension of the conventional passivity based control and is expected to derive robustly stable control systems.
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