PI, PID controller design for interval systems using frequency response model matching technique

The brief deals with a new algorithm for designing Proportional-Integral (PI) and Proportional-Integral Derivative (PID) Controllers for system with parametric uncertainty. The parameters of the controller are obtained by the frequency response matching of the actual and the desired closed-loop characteristics at two different frequency points. The desired closed-loop reference model can be chosen from the design requirements and the process dynamics. The method gives two set of linear algebraic equations, solution of which gives the controller parameters. The proposed method is also used for controller design of parametric uncertain system with dead time. The technique is demonstrated with two numerical examples and a good set-point response is achieved. Simulation results are obtained using MATLAB software.