Self-tuning regulators for a class of multivariable systems

✍ Scribed by Ulf Borison

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 447 KB
• Volume: 15
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(79)90071-2

✦ Synopsis

Abstract~ontrol of a class of multivariable systems described by linear vector difference equations with constant but unknown parameters is discussed. A multivariable minimum variance strategy is first presented. This gives a generalization of the minimum variance strategy for single-input singleoutput systems. A multivariable self-tuning regulator based on the minimum variance strategy is then proposed. It uses a recursive least squares estimator and a linear controller obtained directly from the current estimates. The asymptotic properties of the algorithm are discussed. If the estimated parameters converge, the resulting controller will under certain conditions give the minimum variance strategy. The analysis also gives insight into the case when several singleinput single-output self-tuning regulators are operating in cascade mode.