Alternative solutions to multi-variate control performance assessment problems

✍ Scribed by Biao Huang; Steven X. Ding; Nina Thornhill

• Book ID: 104026873
• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 341 KB
• Volume: 16
• Category: Article
• ISSN: 0959-1524
• DOI: 10.1016/j.jprocont.2005.09.003

✦ Synopsis

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.