Multi-criterion Satisfactory Optimization Method and Its Application in Control Systems

摘要

This paper proposes a novel method called multi-criterion satisfactory optimization method (MCSOM) to optimize the parameters of controllers in control systems. The core of the method is that multiple criterions can be adjusted conveniently, according to different requirements of different designers for performances of control systems. The method can be employed in single-input and single-output (SISO) control systems and multi-input and multi-output (MIMO) control systems. By designing performance specification satisfactory rate functions and synthesis satisfactory rate function of control systems, satisfactory optimization mathematic model is constructed. The model is characterized by considering satisfactory design of performance specifications and optimization of parameters of control system, simultaneously Furthermore, a new quantum genetic algorithm (NQGA) is also proposed to search automatically satisfactory solution in control system design in this paper Rapid convergence and good global search capability characterize the performance of NQGA. The effectiveness, applicability and flexibility of MCSOM based on NQGA are demonstrated by experimental results on SISO and SIMO control systems design. The results show that the introduced method is superior to several traditional methods.