This paper re-examines the stability of multi-input multi-output (MIMO) control systems designed using sequential MIMO quantitative feedback theory (QFT). In order to establish the results, recursive design equations for the SISO equivalent plants employed in a sequential MIMO QFT design are established. The equations apply to sequential MIMO QFT designs in both the direct plant domain, which employs the elements of plant in the design, and the inverse plant domain, which employs the elements of the plant inverse in the design. Stability theorems that employ necessary and sufficient conditions for robust closed-loop internal stability are developed for sequential MIMO QFT designs in both domains. The theorems and design equations facilitate less conservative designs and improved design transparency.
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e-mail: mkerr@tamu.edu
e-mail: sjayasuriya@mengr.tamu.edu
e-mail: sasokanthan@eng.uwo.ca
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June 2005
Technical Papers
Robust Stability of Sequential Multi-input Multi-output Quantitative Feedback Theory Designs
Murray L. Kerr,
Murray L. Kerr
Graduate Student
1 979 845 3818
1 979 845 3081
Department of Mechanical Engineering,
e-mail: mkerr@tamu.edu
The University of Queensland
, Brisbane, QLD 4072, Australia
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Suhada Jayasuriya,
Suhada Jayasuriya
Kotzebue Endowed Professor
1 979 845 0271
1 979 845 3081
Department of Mechanical Engineering,
e-mail: sjayasuriya@mengr.tamu.edu
Texas A&M University
, College Station, TX 77843
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Samuel F. Asokanthan
Samuel F. Asokanthan
Associate Professor
1 519 661 2111 Ex. 88907
1 519 661 3020
Department of Mechanical and Materials Engineering,
e-mail: sasokanthan@eng.uwo.ca
The University of Western Ontario
, London, Ontario N6A 5B9, Canada
Search for other works by this author on:
Murray L. Kerr
Graduate Student
1 979 845 3818
1 979 845 3081
Department of Mechanical Engineering,
The University of Queensland
, Brisbane, QLD 4072, Australiae-mail: mkerr@tamu.edu
Suhada Jayasuriya
Kotzebue Endowed Professor
1 979 845 0271
1 979 845 3081
Department of Mechanical Engineering,
Texas A&M University
, College Station, TX 77843e-mail: sjayasuriya@mengr.tamu.edu
Samuel F. Asokanthan
Associate Professor
1 519 661 2111 Ex. 88907
1 519 661 3020
Department of Mechanical and Materials Engineering,
The University of Western Ontario
, London, Ontario N6A 5B9, Canadae-mail: sasokanthan@eng.uwo.ca
J. Dyn. Sys., Meas., Control. Jun 2005, 127(2): 250-256 (7 pages)
Published Online: May 24, 2004
Article history
Received:
August 19, 2003
Revised:
May 24, 2004
Citation
Kerr, M. L., Jayasuriya, S., and Asokanthan, S. F. (May 24, 2004). "Robust Stability of Sequential Multi-input Multi-output Quantitative Feedback Theory Designs." ASME. J. Dyn. Sys., Meas., Control. June 2005; 127(2): 250–256. https://doi.org/10.1115/1.1898233
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