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QFT prefilter design for multivariable systems using interval constraint satisfaction technique

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Abstract

In this paper, a computationally efficient method is proposed for automated design of the prefilters for multivariable systems. In quantitative feedback theory (QFT) method, proposed by Horowitz, the prefilter is designed to achieve the desired tracking specifications. In the proposed approach, we pose the prefilter design problem as an interval constraint satisfaction problem and solve it using the well-established interval constraint satisfaction techniques. The proposed method finds optimal values of the parameters of fixed structure prefilter within the initial search domain. An approach based on prefilter synthesis for single-input single-output is already developed. The purpose of this paper is to extend this approach to QFT prefilter design for general multivariable systems. To validate the above design approach, we applied the method to a laboratory setup of magnetic levitation system.

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Authors and Affiliations

  1. Department of Electronics Engineering, Ramrao Adik Institute of Technology, Nerul, Navi Mumbai, India

    Mukesh D. Patil

  2. Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai, India

    P. S. V. Nataraj

Authors
  1. Mukesh D. Patil
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  2. P. S. V. Nataraj
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Correspondence to Mukesh D. Patil.

Additional information

Mukesh D. PATIL obtained his Ph.D. from Systems and Control Engineering at Indian Institute of Technology Bombay, Mumbai, India, in 2013. He obtained his M.Tech. from Systems and Control Engineering at Indian Institute of Technology Bombay, Mumbai, India, in 2002. He is working as Professor at Ramrao Adik Institute of Technology, Nerul, Navi Mumbai, India. His current research interests are in the areas of robust control, fractional-order control and signal processing. He has also published more than 60 papers in leading international journals and conferences.

P. S. V. NATARAJ is a professor of Systems and Control Engineering Group at IIT Bombay, India. He obtained his Ph.D. from IIT Madras, India in Process dynamics and Control in 1987. He joined as the faculty of the Systems and Control Engineering Group at IIT Bombay in 1988. He has been involved and teaching for about 25 years at IIT Bombay. His current research interests are in the areas of robust and fractional order control, global optimization, reliable computing, parallel computing (GPU), and robust statistics. He guided more than 100 M.S. degree candidates, and guided (or is guiding) 27 Ph.D. candidates in these areas. He has also published more than 100 papers in leading international journals and conferences. He is an editor of two international journals: International Journal of Automation and Control (Inderscience) and Opsearch (Springer), and an associate editor of the International Journal of Systems Assurance Engineering and Management (Springer). He was the chairman or co-chairman of several international conferences sponsored by IEEE and other societies. He also chaired and co-chaired several sessions in various international conferences in India and abroad.

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Patil, M.D., Nataraj, P.S.V. QFT prefilter design for multivariable systems using interval constraint satisfaction technique. J. Control Theory Appl. 11, 529–537 (2013). https://doi.org/10.1007/s11768-013-2195-7

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  • DOI: https://doi.org/10.1007/s11768-013-2195-7

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