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TECHNICAL PAPERS

Robust Stability of Closed-Loop Systems Resulting From Nonsequential MIMO-QFT Design

[+] Author and Article Information

Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843-3123

J. Dyn. Sys., Meas., Control 118(4), 753-756 (Dec 01, 1996) (4 pages) doi:10.1115/1.2802353 History: Received September 23, 1994; Revised September 23, 1994; Online December 03, 2007

Abstract

Considered in this paper is the question of whether a compensator realized by the MIMO-QFT nonsequential method robustly stabilizes the entire plant family. In order to establish our results, first the classic small gain theorem for robust stability is modified to allow uncertain plant families with poles arbitrarily crossing the imaginary axis, or equivalently, plants in which the number of unstable poles does not remain fixed over all uncertainties. The conventional assumption that the number of unstable poles remain fixed over all uncertainties can be quite restrictive, especially, in the case of plants with structured uncertainties. It is shown that to assure robust stability of the closed loop, resulting from the MIMO-QFT nonsequential approach, one more requirement must be added to the procedure. The needed extra condition can be quite naturally incorporated during the execution of the nonsequential technique. As a result, the proposed condition does not significantly alter the basic MIMO-QFT nonsequential procedure.

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