Genetic approach to optimal topology/controller design of adaptive structures

Xiaojian Liu*, D. W. Begg, R. J. Fishwick

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)815-830
Number of pages16
JournalInternational Journal for Numerical Methods in Engineering
Issue number5
Publication statusPublished - 15 Mar 1998


  • Adaptive structures
  • Riccati equation and genetic algorithm (GA)
  • Sensor/actuator placement
  • Structural topology optimization
  • Structural-control interaction


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