Design of Critical Control Systems Utilizing Genetic Algorithms and LMI-Based Regional Pole Assignment Technique

Abstract

A method for designing critical systems subject to magnitude-and-rate-limited reference inputs is proposed. The worst-case tracking error is minimized under the constraint on the control effort. The LMI-based technique developed by Chilali and Gahinet is utilized to assign the resulting closed-loop poles into the intersection of a vertical strip and a conic sector. The optimal pole region is searched via the simple genetic algorithm. An illustrative design example of the position control system for a two-inertia system is provided to demonstrate the proposed design method. The simulation and experimental results show that a critical position control system is successfully designed on the basis of the proposed method.