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Genetic approach to optimal topology/controller design of adaptive structures
Author(s) -
Liu Xiaojian,
Begg D. W.,
Fishwick R. J.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980315)41:5<815::aid-nme310>3.0.co;2-o
Subject(s) - controllability , truss , robustness (evolution) , mathematical optimization , topology optimization , linear quadratic regulator , genetic algorithm , computer science , mathematics , actuator , topology (electrical circuits) , optimal control , engineering , finite element method , combinatorics , artificial intelligence , biochemistry , chemistry , structural engineering , gene
Integrated optimization of structural topology and control system is considered. The problem is formulated as mixed discrete‐continuous multi‐objective programming with a linear quadratic regulator cost index, and measures of robustness and controllability as objectives. The Genetic Algorithm (GA), a guided random search technique, is adopted for the problem‐solving. A member elimination strategy that allows deleted members to be recovered is suggested in the search procedure. As verification for the proposed method, optimum layout and actuator placement for a 45‐bar truss is illustrated. Numerical results indicate that the genetic algorithm can converge to optimum solutions by searching only a minor fraction of the solution space. Discussions on the algorithm are presented. © 1998 John Wiley & Sons, Ltd.