Optimal controller design based on synthesis servo/regulator performance criterion

In this paper, a new IMC-based optimal controller design strategy is proposed in terms of the synthesis performance criterion which takes into account both set-point tracking performance and external disturbance rejection performance. Firstly, the synthesis servo/regulator performance criterion is presented. The weights of the effect of both the set-pointing tracking performance and the disturbance rejection performance on the system can be tuned by the adjustable parameter. Then, based on the inner-outer factorization method and the optimal control theory, the optimal controller for the proposed criterion is given. For a class of first order processes widely adopted in industry, the paper presents the analytical inner-outer factorization solution. Finally, the analysis and simulations are given to illustrate the superiority of the method. The results show that the proposed controller effectively improves the system performance.