Xj. Liu et al., GENETIC APPROACH TO OPTIMAL TOPOLOGY CONTROLLER DESIGN OF ADAPTIVE STRUCTURES/, International journal for numerical methods in engineering, 41(5), 1998, pp. 815-830
Integrated optimization of structural topology and control system is c
onsidered. The problem is formulated as mixed discrete-continuous mult
i-objective programming with a linear quadratic regulator cost index,
and measures of robustness and controllability as objectives. The Gene
tic Algorithm (GA), a guided random search technique, is adopted for t
he problem-solving. A member elimination strategy that allows deleted
members to be recovered is suggested in the search procedure. As verif
ication for the proposed method, optimum layout and actuator placement
for a 45-bar truss is illustrated. Numerical results indicate that th
e genetic algorithm can converge to optimum solutions by searching onl
y a minor fraction of the solution space. Discussions on the algorithm
are presented. (C) 1998 John Wiley & Sons, Ltd.