Multi-Objective Control-Structures Optimization Via Homotopy Methods
Files
TR Number
TR-90-63
Date
1990
Journal Title
Journal ISSN
Volume Title
Publisher
Department of Computer Science, Virginia Polytechnic Institute & State University
Abstract
A recently developed active set algorithm for tracking parametrized optima is adapted to multi-objective optimization. The algorithm traces a path of Kuhn-Tucker points using homotopy curve tracking techniques, and is based on identifying and maintaining the set of active constraints. Second order necessary optimality conditions are used to determine nonoptimal stationary points on the path. In the bi-objective optimization case the algoritm is used to trace the curve efficient solutions (Pareto optima). As an example, the algorithm is applied to the simultaneous minimization of the weight and control force of a ten-bar truss with two collocated sensors and actuators, with some interesting results.