A comparative overview of different approaches for calculating the set of all stabilizing PID controller parameters∗. Issue 14 (2015)

• Record Type: Journal Article
• Authors: Schrödel, Frank; Manickavasagam, Shivnath Karthikeyan; Abel, Dirk
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 14(2015)
• Page Start: 43
• Page End: 49
• Publication Date: 2015
• Subjects: Robust Control -- Robust Stability -- PID Control -- Linear Systems -- Stability Chart -- Parameter Space Approach -- Hermite Biehler Theorem; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.431
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: A large number of calculation methods for the evaluation of the all stabilizing controller parameter space (also known as stability charts) do exist. This work presents an overview of the most used approaches in this field with the main focus on continuous PID controllers. After a short introduction to the specific theoretical basics a detailed analysis of the advantages and disadvantages of the different approaches will be discussed. The discussion focuses on the underlying theory as well as on the implementation potential. In addition, some open problems of these approaches are solved in the following. Finally the most popular methods for PID stability chart calculation are implemented in open source MATLAB toolbox which can be downloaded on:http://www.irt.rwth-aachen.de/pidrobust . All examples mentioned in this paper are implemented in the toolbox.