Constrained control and rate or increment for linear systems with additive disturbances

Mesquine, Fouad; Tadeo, Fernando; Benzaouia, Abdellah

doi:https://doi.org/10.1155/MPE/2006/37591

Mathematical Problems in Engineering

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Volume 2006 | Article ID 037591 | https://doi.org/10.1155/MPE/2006/37591

Constrained control and rate or increment for linear systems with additive disturbances

Fouad Mesquine,¹Fernando Tadeo,²and Abdellah Benzaouia²

Received17 May 2005

Revised09 May 2006

Accepted18 May 2006

Published13 Jul 2006

Abstract

This paper is devoted to the control of linear systems with constrained control and rate or increment with additive bounded disturbances. Necessary and sufficient conditions such that the system evolution respects rate or increment constraints are used to derive stabilizing feedback control. The control law respects both constraints on control and its rate or increment and is robust against additive bounded disturbances. An application to a surface mount robot, where the Y-axis of the machine uses a typical ball screw transmission driven by a DC motor to position circuits boards, is achieved.

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Copyright

Copyright © 2006 Fouad Mesquine et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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