Simulated annealing based fixed order controller design and system simulations

Controllers obtained from popular H_∞ loop shaping techniques have much higher order than that of the plant and are difficult to implement in industrial applications. To overcome this difficulty we propose the H_∞ loop shaping control under fixed order controller. First we design the H_∞ optimal controller by applying the McFarlane and Glover procedure and obtain the corresponding performance index. Secondly, we specify the desired controller structure with few parameter, first order controller or PID controller. Finally, the simulated annealing algorithm is used to optimize the cost function and specified controller parameters. The H_∞ norm of closed- loop transfer function is minimized by using simulated annealing algorithm. The resulting optimal controller stabilizes the system and guarantees for the specific performance. To check the effectiveness of proposed techniques, resulting controller parameters are evaluated for performance via system simulations. Simulations results demonstrate the efficiency of proposed technique.