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Digital Library

of the European Council for Modelling and Simulation

 

Title:

Relay Feedback Autotuning – A Polynomial Design Approach

Authors:

Roman Prokop, Jiří Korbel, Zdenka Prokopová

Published in:

 

(2010).ECMS 2010 Proceedings edited by A Bargiela S A Ali D Crowley E J H Kerckhoffs. European Council for Modeling and Simulation. doi:10.7148/2010 

 

ISBN: 978-0-9564944-1-2

 

24th European Conference on Modelling and Simulation,

Simulation Meets Global Challenges

Kuala Lumpur, June 1-4 2010

 

Citation format:

Prokop, R., Korbel, J., & Prokopova, Z. (2010). Relay Feedback Autotuning – A Polynomial Design Approach. ECMS 2010 Proceedings edited by A Bargiela S A Ali D Crowley E J H Kerckhoffs (pp. 290-295). European Council for Modeling and Simulation. doi:10.7148/2010-0290-0295

DOI:

http://dx.doi.org/10.7148/2010-0290-0295

Abstract:

A method of autotuning using an asymmetric relay with hysteresis feedback test is proposed and developed. Then, three parameters for aperiodic first or second order transfer functions can be obtained. After the identification relay experiment, controller parameters are computed through linear diophantine equation in the ring of proper and stable rational functions. This algebraic approach for a traditional 1-DOF feedback structure generates a class of PI or PID controllers. The pole placement principle in the methodology brings a scalar positive “tuning knob” for additional controller tuning. A Matlab-Simulink program implementation was developed for simulation and verification of the studied approach. Two illustrative examples support simplicity and efficiency of the proposed methodology.

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