A New Solution for μ Synthesis Problem Using Particle Swarm Optimization Algorithm

The μ synthesis problem has not been completely solved, and this is attributed to existing challenges and issues in calculation of the structure singular value. The most common solution for μ Synthesis problem is called D-K Iteration. Even though this specific method is not the complete solution for the μ Synthesis, but the controllers obtained through this method have proven to be one of the most complete forms of robust control technique, based on robust stability and performance. One of the major disadvantages with the D-K Iteration is a high order controller. In this paper an evolutionary algorithm called PSO has been used to design a robust controller. The main objective is to find a solution for μ Synthesis that can better improve the robust stability and performance compared to same order (reduced order) controller obtained through D K Iteration. To evaluate the proposed algorithm, it has been used on the mass-spring-damper benchmark system. The simulation results from the proposed algorithm show that this method has a more robust stability and performance for closed loop systems than the same order controllers obtained through D-K Iteration.