The frequency domain design methodology developed in Jayasuriya and Franchek (1988) for the synthesis of controllers that maximize the allowable size of an unknown-but-bounded disturbance in the presence of several time domain constraints is revisited. It is shown that (i) the basic ingredients of the methodology stays essentially the same for systems with nonminimum phase zeros and/or unstable poles, and (ii) two modifications can facilitate the loop shaping step. In particular, a nonminimum phase problem may be converted to one of frequency shaping a minimum phase loop; and a prestabilization scheme may be used for unstable systems. Two examples illustrate the proposed modifications with one compared to results obtained by the so called Set-Theoretic (ST) approach.
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December 1994
Research Papers
Incorporating Right Half-Plane Poles and Zeros in a Frequency Domain Design Technique
Massoud Sobhani,
Massoud Sobhani
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843
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Suhada Jayasuriya
Suhada Jayasuriya
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843
Search for other works by this author on:
Massoud Sobhani
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843
Suhada Jayasuriya
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843
J. Dyn. Sys., Meas., Control. Dec 1994, 116(4): 593-601 (9 pages)
Published Online: December 1, 1994
Article history
Received:
August 8, 1990
Online:
March 17, 2008
Citation
Sobhani, M., and Jayasuriya, S. (December 1, 1994). "Incorporating Right Half-Plane Poles and Zeros in a Frequency Domain Design Technique." ASME. J. Dyn. Sys., Meas., Control. December 1994; 116(4): 593–601. https://doi.org/10.1115/1.2899257
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