A heuristic approach to the design of linear multivariable interacting control systems

✍ Scribed by A. Niederlinski

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 728 KB
• Volume: 7
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(71)90007-0

✦ Synopsis

Une approche heuristique/l l'rtude des syst~mes de commande linraires /t variables multiples et/t interactions Eine heuristische N/iherung ftir den Entwurf linearer multivariabler Regelungssysteme mit Wechselwirkung 3BpHCTI4qecKI4~ nO~XO)l r pacc~ieTy .IIHHefiHblX MI-IOrOKOOp~HHaTHblX CHCTeM ynpaBJieHvIa c B3aI4MO/Ie~CTBHeM A. NIEDERLINSKH"

The task of designing and implementing optimum multivariable control systems seems hardly justified in many industrial applications because of cost and performance requirements. Hence approximate, rapid methods to provide simple designs with satisfactory control are needed.

Summary--The proposed approach aims to determine an input-output pairing configuration and controller settings guaranteeing a practically satisfactory disturbance attenuation for linear, interacting multivariablo control systems.

The argument is based on (a) a theorem which rejects input-output pairing configurations leading to structurally monotonic unstable systems with all controllers integrating, and (b) two heuristics which provide a choice between the remaining configurations and determine the controller settings. The heuristics are based on the concepts of the P-controlied multivariable systems critical gain and frequency. The paper is illustrated by two examples of twovariable control and one example of three-variable control.

The proposed approach is well-suited for on-line tuning of interacting muitivariable control systems. It was found to have significant advantages over conventional trial and error methods.