Stabilization of (L,M) shift invariant plant

Ling, Bingo Wing-Kuen and Tam, Peter Kwong-Shun (2001) Stabilization of (L,M) shift invariant plant. In: Student Conference of Research and Development, February 2001, Kuala Lumpur.

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Abstract

In this paper, a lifting technique is employed to realize a single input single output linear (L,M) shift invariant plant as a filter bank system. Based on the filter bank structure, a controller is designed so that the aliasing components in the control loop are cancelled and the loop gain becomes a time invariant transfer function. Pole placement technique is applied to stabilize the overall system and ensure the causality of the filters in the controller. An example on the control of a linear (L,M) shift invariant plant with simulation result is illustrated. The result shows that our proposed algorithm is simple and effective.

Item Type: Conference or Workshop Item (Paper)
Additional Information: In this paper, a lifting technique is employed to realize a single input single output linear (L,M) shift invariant plant as a filter bank system. Based on the filter bank structure, a controller is designed so that the aliasing components in the control loop are cancelled and the loop gain becomes a time invariant transfer function. Pole placement technique is applied to stabilize the overall system and ensure the causality of the filters in the controller. An example on the control of a linear (L,M) shift invariant plant with simulation result is illustrated. The result shows that our proposed algorithm is simple and effective.
Keywords: filter bank system, aliasing components, pole placement, multirate control
Subjects: H Engineering > H660 Control Systems
Divisions: College of Sciences > Faculty of Science > Lincoln School of Engineering
Depositing User: Wing-Kuen Ling
Date Deposited: 06 Aug 2010 09:44
Last Modified: 13 Mar 2013 08:43
URI: http://eprints.lincoln.ac.uk/id/eprint/3110

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