Simulation of stability using Java application for Pareto design of controllers based on a new multi-objective particle swarm optimization

In this paper, Java programming with applets for internet-based control education of two mechanical systems are presented. First, a new multi-objective optimization method is applied to obtain the Pareto frontiers of some non-commensurable objective functions in the design of linear state feedback controllers for an inverted pendulum and a ball–beam system. Second, the simulations of the problems were developed with Java applets and its results are given. The obtained results and analyses demonstrate that this multi-objective method presented in this paper operates very well in terms of convergence speed, global optimality, solution accuracy, and algorithm reliability.