Stability of nonlinear systems using optimal fuzzy controllers and its simulation by Java programming

Abstract

In this paper, at first, the single input rule modules &#x0028 SIRMs &#x0029 dynamically connected fuzzy inference model is used to stabilize a double inverted pendulum system. Then, a multi-objective particle swarm optimization &#x0028 MOPSO &#x0029 is implemented to optimize the fuzzy controller parameters in order to decrease the distance error of the cart and summation of the angle errors of the pendulums, simultaneously. The feasibility and efficiency of the proposed Pareto front is assessed in comparison with results reported in literature and obtained from other algorithms. Finally, the Java programming with applets is utilized to simulate the stability of the nonlinear system and explain the internet-based control.