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Dynamical Radial Control of Nonlinear Systems

Dynamical Radial Control of Nonlinear Systems

Sangelaji, Zahra and Banks, Steve (2008) Dynamical Radial Control of Nonlinear Systems. In: Proceedings of the UKACC International Conference on Control 2008. UKACC, pp. 1-5. ISBN 9780955615214

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Abstract

This paper is concerned with the stabilisation of a general class of nonlinear systems via the associated angular approach. In this method, the system is converted into two subsystems the so called radial and spherical systems. The spherical system is a nonlinear equation on a sphere and the radial system is a scalar differential equation. A stabilising control can be designed based on the one dimensional radial system dynamics. The radial control may be continuous or discontinuous depending on the structure of the input map. Whenever the input map of the radial subsystem is zero, the radial control is not accessible. In this paper a method is presented to remove this obstacle. The control is designed by including an extra dynamic to the system. Therefore the new system is an augmented system. The radial auxiliary input map of the augmented system i.e. the original control is the new state. Since it is assumed that the original control is not zero, the auxiliary radial control is definable within the operating region.

Item Type: Conference Proceedings
Title of Proceedings: Proceedings of the UKACC International Conference on Control 2008
Additional Information: [1] This paper was first presented at the UKACC International Conference on Control 2008, held from 1-4 September 2008 in Manchester, UK.
Uncontrolled Keywords: stabilisation, nonlinear systems, radial control
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Pre-2014 Departments: School of Engineering > Department of Engineering Systems
Related URLs:
Last Modified: 14 Oct 2016 09:23
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/9530

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