Journal of Process Control, Vol.16, No.5, 457-471, 2006
Alternative solutions to multi-variate control performance assessment problems
Performance assessment of multi-variate control with minimum variance control as the benchmark requires an interactor matrix to filter the closed-loop Output. This is to transfer the coordinate of the original variables into a new one in order to identify the control invariant disturbance dynamics from the first few terms of the closed-loop output Markov parameters. There has been a great deal of interest to simplify this approach, in particular, to find methods that do not need the interactor matrix. With this motivation, this paper explores alternative solutions to multi-variate control performance assessment problems. In particular, we will consider two practical scenarios: (1) known time delays between each pair of inputs and outputs, (2) no a priori knowledge about the process model or time delays at all. Solutions to these two scenarios are proposed. Two data-driven algorithms based on subspace approach are derived for the calculation of performance measures. Several examples illustrate the feasibility of the proposed approaches. (c) 2005 Elsevier Ltd. All rights reserved.
Keywords:performance monitoring;performance assessment;control monitoring;multi-variate systems;subspace methods;projection