Stabilizing Parametric Region of Multiloop PID Controllers for Multivariable Systems Based on Equivalent Transfer FunctionReport as inadecuate




Stabilizing Parametric Region of Multiloop PID Controllers for Multivariable Systems Based on Equivalent Transfer Function - Download this document for free, or read online. Document in PDF available to download.

Corrigendum A corrigendum for this article has been published. To view the corrigendum, please click here.

Mathematical Problems in Engineering - Volume 2016 2016, Article ID 3173289, 7 pages -

Research Article

Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education and the Institute of Automation, Jiangnan University, Wuxi 214122, China

Department of System Engineering and Automatica, Polytechnic University of Valencia, 46022 Valencia, Spain

Received 9 March 2016; Accepted 3 May 2016

Academic Editor: Stefan Balint

Copyright © 2016 Xiaoli Luan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The aim of this paper is to determine the stabilizing PID parametric region for multivariable systems. Firstly, a general equivalent transfer function parameterization method is proposed to construct the multiloop equivalent process for multivariable systems. Then, based on the equivalent single loops, a model-based method is presented to derive the stabilizing PID parametric region by using the generalized Hermite-Biehler theorem. By sweeping over the entire ranges of feasible proportional gains and determining the stabilizing regions in the space of integral and derivative gains, the complete set of stabilizing PID controllers can be determined. The robustness of the design procedure against the approximation in getting the SISO plants is analyzed. Finally, simulation of a practical model is carried out to illustrate the effectiveness of the proposed technique.





Author: Xiaoli Luan, Qiang Chen, Pedro Albertos, and Fei Liu

Source: https://www.hindawi.com/



DOWNLOAD PDF




Related documents