Performance assessment of MIMO systems based on I/O delay information

H. Xia, P.M. Majecki, A.W. Ordys, M.J. Grimble

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The minimum variance (MV) control is one of the most popular benchmarks in control performance assessment. For a SISO process, the minimum variance can easily be estimated given the information of the process time delay. However, it is more difficult to obtain the MV benchmark for a multivariable system since the solution relies on the process interactor matrix. The computation of the interactor matrix requires knowledge of Markov parameter matrices of the plant, which is tantamount to complete knowledge of the process model. This requirement is usually unrealistic, since the model is either not available or not accurate enough for a meaningful calculation. However, the time delays between the inputs and outputs are relatively easy to obtain and can be used to construct an I/O delay matrix. This paper shows how to estimate upper and lower bounds of the MIMO MV performance from routine operating data with the I/O delay matrix known. In order to estimate the upper bound, the introduction of additional time delays into the controller is normally needed. However, should this be considered restrictive, then another upper bound which has recently been proposed can be used instead. On the other hand, the lower bound can readily be estimated from routine data. The results are illustrated by a simulation example.
LanguageEnglish
Pages373-383
Number of pages10
JournalJournal of Process Control
Volume16
Issue number4
DOIs
Publication statusPublished - 2006

Fingerprint

Performance Assessment
MIMO Systems
MIMO systems
Minimum Variance
Time Delay
Time delay
Benchmark
Upper bound
Multivariable systems
Multivariable Systems
Multiple-input multiple-output (MIMO)
Estimate
Process Model
Upper and Lower Bounds
Lower bound
Controller
Controllers
Output
Requirements
Simulation

Keywords

  • minimum variance
  • performance assessment
  • interactor matrix
  • time delays
  • process control

Cite this

Xia, H. ; Majecki, P.M. ; Ordys, A.W. ; Grimble, M.J. / Performance assessment of MIMO systems based on I/O delay information. In: Journal of Process Control. 2006 ; Vol. 16, No. 4. pp. 373-383.
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Performance assessment of MIMO systems based on I/O delay information. / Xia, H.; Majecki, P.M.; Ordys, A.W.; Grimble, M.J.

In: Journal of Process Control, Vol. 16, No. 4, 2006, p. 373-383.

Research output: Contribution to journalArticle

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