Self and forced oscillations in multivariable relay control systems

✍ Scribed by S.T. Nugent; R.J. Kavanagh

• Publisher: Elsevier Science
• Year: 1969
• Tongue: English
• Weight: 570 KB
• Volume: 5
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(69)90114-9

✦ Synopsis

This paper generalizes the well known Tsypkin method for use in prediction of self or forced oscillations in multivariable relay control systems. The method is valid for all systems having linear plants whose transfer matrix elements have at least two more poles than zeros. The relays may have hysteresis and dead band and need not be identical. It is shown that certain multivariable relay control systems can be represented by a related set of single variable control systems for stability analysis purposes. This result permits Tsypkin's stability criteria for single variable systems to be used to determine the stability of these systems. The methods developed are illustrated by an example and the theoretically predicted behaviour is confirmed by analogue simulation.