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The root loci of H ∞ optimal control: A polynomial approach
Author(s) -
Choi S.G.,
Johnson M. A.
Publication year - 1996
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/(sici)1099-1514(199604/06)17:2<79::aid-oca565>3.0.co;2-2
Subject(s) - root (linguistics) , mathematics , robustness (evolution) , polynomial , optimal control , root finding algorithm , combinatorics , pure mathematics , mathematical optimization , genetics , biology , mathematical analysis , physics , nonlinear system , gene , philosophy , linguistics , quantum mechanics
The root loci patterns which result from changing the balance between the terms in optimal H ∞ stability and performance robustness problems are investigated. The steps for a polynomial analysis are presented. These result in two theorems covering the finite starting and the (finite and infinite) terminal points for the root loci of the two types of H ∞ problems. Four examples are given with a root loci analysis for each of the H ∞ optimal control problems.