Research on Fractional Order Control of an Improved Particle Swarm Optimization Algorithm

摘要

This is a fractional order control algorithm basing on improved particle swarm optimization (chaotic adaptive particle swarm optimization (CAPSO)), which is verified by the single inverted pendulum control system. This method combines the chaos algorithm with inertia weight adjustment of the particle swarm algorithm. And after the chaotic particle swarm initialization, the method exerts chaotic search on the swarms falling into the local optimal particle, namely the optimization of nonlinear inertia weight adjustment method does not only improve the convergence accuracy of the algorithm, but get the global optimum solution. The Experimental results show that the CAPSO algorithm is better than the dominant pole method and the particle swarm optimization algorithm (PSO) in the parameter tuning of the fractional order controller. Compared with PSO algorithm, it has many merits of the fast convergence speed, small overshoot, good stability and strong anti-interference. the Dynamic response of the system with fractional order controller optimized by CAPSO algorithm is better than that with integer order PID controller.