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Constrained simulated annealing for stability margin computation in a time‐delay system
Author(s) -
Kim Kyungsup,
Bae Jinho
Publication year - 2006
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1065
Subject(s) - simulated annealing , computation , nonlinear system , control theory (sociology) , computer science , stability (learning theory) , margin (machine learning) , factorization , mathematical optimization , mathematics , algorithm , artificial intelligence , physics , control (management) , quantum mechanics , machine learning
Abstract The stability margin of a time‐delay system is formulated via factorization. This paper provides a numerical method for computing the stability margin of time‐delay linear time‐invariant systems with delay dependence by using a constrained simulated annealing algorithm. The constrained simulated annealing is used to solve a nonlinear continuous constrained optimization problem, which is derived from computing the stability margin of a delay system. Illustrative examples show that the established method can verify the stability for a class of time‐delay systems. Copyright © 2006 John Wiley & Sons, Ltd.