PID controller design with Hyperbolic Tangent weighted error function using GA

The square-of-error functions, such as Integral Square Error (ISE) and Integral Time Square Error (ITSE), are mostly used objective functions for controller design. In this paper, a new Tan Hyperbolic function weighted performance index is proposed for optimal PID controller design. The proposed objective function gives better PID controller design with improved robustness level than the Integral Square Error. The proposed method is validated with the help of two MATLAB Simulation examples with Genetic Algorithm.