Synthesis of controllers for non-minimum phase and unstable systems using non-sequential MIMO quantitative feedback theory

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Title: Synthesis of controllers for non-minimum phase and unstable systems using non-sequential MIMO quantitative feedback theory
Author: Lan, Chenyang
Abstract: Considered in this thesis is multi -input multi -output (MIMO ) systems with non -minimum phase (NMP ) zeros and unstable poles where some of the unstable poles are located to the right of the NMP zeros . In the single -input single -output (SISO ) case such systems pose serious difficulties in controller synthesis for performance and stability . In spite of the added degrees of freedom the MIMO case also poses difficulties as has been shown in the stabilization of the X -29 aircraft . When using the MIMO QFT technique the synthesis starts by considering a set of equivalent SISO plants derived from the plant transfer function matrix that are used to develop a controller . In effect the design problem is reduced to several MISO designs with the diagonal entries of as the equivalent SISO plants . Developed is a transformation scheme that can be used to condition the resulting equivalent SISO plants so that the difficult problem of NMP zeros lying to the left of unstable poles is avoided . Examples illustrate the use of the proposed transformation .
URI: http : / /hdl .handle .net /1969 .1 /2245
Date: 2005-08-29

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Synthesis of controllers for non-minimum phase and unstable systems using non-sequential MIMO quantitative feedback theory. Available electronically from http : / /hdl .handle .net /1969 .1 /2245 .

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