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Robust pole assignment in a specified region using output feedback
Author(s) -
Oh Myungho,
Gu DaWei,
Spurgeon Sarah K.
Publication year - 1993
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660140105
Subject(s) - complex plane , linear programming , set (abstract data type) , closed loop pole , series (stratigraphy) , control theory (sociology) , mathematics , linear system , full state feedback , output feedback , linear fractional programming , matrix (chemical analysis) , computer science , algorithm , mathematical optimization , mathematical analysis , artificial intelligence , paleontology , materials science , composite material , biology , programming language , control (management)
An output feedback pole assignment method is presented which seeks to achieve a robust solution where the assigned poles are as insensitive as possible to perturbations in the closed‐loop system. The freedom available to obtain a robust solution is realized by assigning poles not to exact locations but within specified regions of the complex plane. The problem is formulated as a non‐linear programming problem with a set of non‐linear constraints of matrix‐valued functions as well as a set of linear constraints. A numerical algorithm is presented in two forms and the results obtained are compared with those generated from other algorithms for a series of test examples taken from the literature.