Routh-Hurwitz tuning method for stable/unstable time-delay MIMO processes

Abstract

This paper presents a new method of tuning decentralized Proportional Integral Derivative (PID) control system for an n×n Multi Input Multi Output (MIMO) processes which can be either open-loop stable or unstable with time-delays. The tuning method has been established via the classical Routh-Hurwitz criteria with the aid of PID stability theorem. This new tuning method requires only 3 common tuning parameters, thus simplifying the conventional multi-loop PID tuning task to obtain the values for 3n PID parameters. Two numerical examples are presented to demonstrate the effectiveness of the proposed tuning procedure over some of the existing multi-loop PID tuning procedures. The proposed tuning procedure shows a good performance as well as able to simplify the tuning task as compare to the existing tuning method.