Analytical phase‐lead controller design using pole placement: a pole‐zero ratio minimisation approach. Issue 13 (5th June 2017)

• Record Type: Journal Article
• Authors: Tavakoli, S.; Safaei, M.
• Is Part Of: Electronics letters. Volume 53:Issue 13(2017)
• Page Start: 851
• Page End: 852
• Publication Date: 2017-06-05
• Subjects: delay circuits -- phase shifters -- controllers -- optimal control -- time‐domain analysis -- phase control -- Bode diagrams -- transient response; time delay -- optimal controller parameters -- pole placement requirements -- time‐domain performance index -- direct control -- trial‐and‐error -- phase‐lead design techniques -- crossover frequency -- phase shift -- Bode diagrams -- root locus -- industrial applications -- phase‐lead controllers -- transient response -- pole‐zero ratio minimisation approach -- pole placement -- analytical phase‐lead controller design; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2017.0728
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : Owing to their simple structure and considerable improvement to the transient response, phase‐lead controllers are broadly used in industrial applications. They are designed using root locus or Bode diagrams to introduce extra phase shift at the crossover frequency. Traditional phase‐lead design techniques are either graphical or based on trial‐and‐error. In design techniques using root locus diagrams, there is no direct control on the values of a given time‐domain performance index. To make this criterion satisfactory, the designer has to try different locations of the controller's zero and pole. Based on minimisation of the controller's pole‐zero ratio subject to pole placement requirements, a simple analytical design technique is developed in this Letter. The necessary and sufficient conditions to determine optimal controller parameters are provided. To evaluate the performance of the proposed method, it is applied to a single integrating plant with time delay.