On the existence of stable, causal multipliers for systems with slope-restricted nonlinearities

Turner, Matthew, Kerr, Murray and Postlethwaite, Ian (2009) On the existence of stable, causal multipliers for systems with slope-restricted nonlinearities. IEEE Transactions on Automatic Control, 54 (11). pp. 2697-2702. ISSN 0018-9286

Full text not available from this repository. (Request a copy)

Abstract

The stability of a feedback interconnection of a linear time invariant (LTI) system and a slope-restricted nonlinearity is revisited. Unlike the normal treatment of this problem, in which multipliers are explicitly chosen and then stability conditions checked, this technical note derives existence conditions for a sub-class of these multipliers, namely those which are L 1 bounded, stable, causal and of order equal to the LTI part of the system. It is proved that for the single-input-single-output case, these existence conditions can be expressed as a set of linear matrix inequalities and thus can be solved efficiently with modern optimization software. Examples illustrate the effectiveness of the results.

Item Type:	Article
Uncontrolled Keywords:	linear time invariant systems
Subjects:	H900 Others in Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	EPrint Services
Date Deposited:	11 May 2010 08:17
Last Modified:	31 Jul 2021 08:39
URI:	http://nrl.northumbria.ac.uk/id/eprint/513

Downloads