Affiliation:
1. Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123
Abstract
The QFT robust performance problem in its entirety may be reduced to an H∞ problem by casting each specification as a frequency domain constraint on the nominal sensitivity function and the complementary sensitivity function. It is shown that the existence of a solution to a standard Ha. problem guarantees a solution to the QFT problem whereas the existence of a QFT solution does not necessarily guarantee an H∞ solution. A solution obtained via this formulation for the QFT problem is in general more conservative when compared to what may be obtained from classical QFT loopshaping. However, one does not have to restrict the QFT controller to be diagonal as is usually done in MIMO-QFT. In addition, a simple constructive approach is provided for the design of a prefilter matrix for MIMO systems. In the standard QFT approach, the synthesis of a prefilter matrix for the MIMO case is much more involved than that of the SISO case.
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference8 articles.
1. Horowitz
I.
, 1991, “Survey of the Quantitative Feedback Theory,” Int. J. of Contr., Vol. 53, pp. 255–291.
2. Horowitz
I.
, and WangT., 1979, “A Synthesis Theory for a Class of Multiple-Loop Systems with Plant Uncertainty,” Int. J. of Control, Vol. 29, 645–668.
3. Jayasuriya, S., and Zhao, Y., “Robust Stability of Plants with Mixed Uncertainties and Quantitative Feedback Theory,” Proc. of the 1993 American Control Conference, San Francisco, CA.
4. Nwokah
O. D. I.
, JayasuriyaS., and ChaitY., “Parametric robust control by quantitative feedback theory,” AIAA J. of Guidance, Control and Dynamics, Vol. 15(1): pp. 207–214.
5. Nordgren, R. E., Nwokah, O. D. I., and Franchek, M. A., 1993, “New Formulations for Quantitative Feedback Theory,” Proceedings of the 1993 American Control Conference, San Francisco, CA.
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