PI control design based on sensitivity analysis and genetic algorithms

Abstract

In this paper, the application of PI control design is presented by use of the sensitivity function and the genetic algorithm. A systematic procedure is proposed to improve the result of the sensitivity function for PI control in the literature. By doing this, a certain gain margin (GM) and phase margin (PM) of PI control systems can be guaranteed. In order to obtain the stability boundary of the PI control systems in parameter space, the Tan's method is adopted here. In addition, the genetic algorithm is applied to fulfill the specifications of integral of absolute error (IAE). Moreover, this method is also utilized to design the PI controller of Kharitonov plants. Computer simulations show the effectiveness of the proposed method.