A modified index for control performance assessment

A control performance index which relates actual output variance to minimal achievable variance was ®rst presented by Harris [T.J. Harris, Assessment of control loop performance, The Canadian Journal of Chemical Engineering 67 (1989) 856±861]. In the present paper, a modi®cation of that index is applied. Instead of comparing to minimum variance controlÐwhich corresponds to placing all closed-loop poles in the originÐone pole is placed using either control design guidelines or additionally available pro- cess knowledge. Some possible choices of the free closed-loop pole are discussed. Based on this modi®ed closed-loop system, a performance index can be calculated which relates actual output variance to the minimum achievable variance using the modi®ed closed-loop system. It is shown that for the calculation of this index no other information apart from the measured process output and the time-delay is necessary. Furthermore, a method is presented which allows the assessment of the accuracy of the calculated index. The original Harris index and the proposed modi®ed index are computed using data from industrial processes.