Constrained simulated annealing for stability margin computation in a time‐delay system | Zendy

Kim Kyungsup | Zendy; Bae Jinho | Zendy

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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

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.

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