Title: A global canonical form for nonlinear singular control systems

Authors: Xiaoping Liu

Addresses: Department of Electrical Engineering, Lakehead University, Thunder Bay, On, P7B 5E1, Canada

Abstract: In this paper, the concept of a global generalised characteristic number is defined and global zero dynamics algorithm is developed. Based on the feasibility of this algorithm, a global diffeomorphism is constructed, under which the original system can be put into a global canonical form. Sufficient conditions for the existence of the global diffeomorphism are provided.

Keywords: nonlinear control; singular systems; global zero dynamics; differential-algebraic equations; canonical form; global diffeomorphism.

DOI: 10.1504/IJSCC.2008.019585

International Journal of Systems, Control and Communications, 2008 Vol.1 No.1, pp.82 - 97

Published online: 17 Jul 2008 *

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