Multiobjective Optimization for Controller Design

Controller design using the multiobjective optimization method is considered, in which the objectives and constraints for designing controllers are analyzed and improved. In order to satisfy the objectives synchronously, a new multiobjective optimization algorithm is introduced into designing an optimal PID controller, inspired by tissue P systems. The controller's parameters are coded and evolved according to the rules of the associated membrane. The unique design is that the whole population of the structure is divided into several subpopulations to decrease the computational complexity. Simulation results show that the algorithm converges fast and the solutions form a precise front and distribute uniformly. The controllers designed by the variant of P systems have satisfactory performance. Moreover, the analysis of solutions shows that the new algorithm is suitable for studying the relationship between performance and tuning parameters. The proposed method is useful for designing and evaluating different controllers.