A new multivariable generalized minimum-variance controller with pole-zero placement

Zayed, Ali S.; Hussain, Amir; Smith, L.S.

Abstract

This article presents the derivation of a new robust multivariable adaptive controller, which minimizes a cost function, incorporating system input, system output, and set point. It provides an adaptive mechanism that ensures that both the closed-loop poles and zeros are placed at their prespecified positions. The proposed design overcomes the shortcomings of other pole placement designs by combining the robustness of classical control strategy of pole-zero placement with the flexibility of self-tuning generalized minimum variance control. It tracks set-point changes with the desired speed of response, penalises excessive control action, and can be applied to nonminimum phase systems. Additionally, at steady state, the controller has the ability to regulate the constant load disturbance to zero. Example simulation results using both simulated and real plant models demonstrate the effectiveness of the proposed controller.

Citation

Zayed, A. S., Hussain, A., & Smith, L. (2004). A new multivariable generalized minimum-variance controller with pole-zero placement. Control and Intelligent Systems, 32(1), 35-44. https://doi.org/10.2316/Journal.201.2004.1.201-1307

• Journal Article Type: Article
• Publication Date: 2004
• Deposit Date: Oct 1, 2019
• Journal: Control and Intelligent Systems
• Print ISSN: 1480-1752
• Electronic ISSN: 1925-5810
• Publisher: ACTA Press
• Peer Reviewed: Peer Reviewed
• Volume: 32
• Issue: 1
• Pages: 35-44
• DOI: https://doi.org/10.2316/Journal.201.2004.1.201-1307
• Keywords: Multivariable self-tuning design, zero-pole placement, minimum-variance control, multivariable water bath system and non-minimum phase system.
• Public URL: http://researchrepository.napier.ac.uk/Output/1793708