Algorithms for the Method of Inequalities -- A Comparative Study


There has been a renewed interest in multiobjective control system design using parameter search techniques. One multiobjective approach is the method of inequalities, where the problem is formulated as a set of algebraic inequalities which must be satisfied for a successful design. In this paper, the performance of three algorithms which can be used to solve inequalities are compared. Two of the algorithms are based on hill-climbing techniques, whilst the third uses a genetic algorithm (GA) approach.