Multiple Multi-Objective Servo Design - Evolutionary Approach

Design of control systems is characterised by many targets, therefore the methods enabling optimisation of several objectives have received more and more attention over the past years. When dealing with multi-objective optimisation problems the notion of the scalar function optimality was extended. The most common approach was originally proposed in 19th century by Edgeworth and later generalised by Pareto. This trade-off approach means no element of the vector of optimal solution, so called Pareto optimal solution, can be improved without making some other criteria worse. There are many different notions of dominance. One of them is so called weak Pareto dominance relation which is defined as follows :