IJPAM: Volume 111, No. 2 (2016)

Title

LYAPUNOV STABILITY ANALYSIS TO SET UP
A PI CONTROLLER FOR A MASS FLOW SYSTEM
IN CASE OF A NON-SATURATING INPUT

Authors

Paolo Mercorelli
Institute of Product and Process Innovation
Leuphana University of Lueneburg
Volgershall 1, D-21339 Lueneburg, GERMANY

Abstract

This paper deals with the calculation of sufficient conditions for the stability of a mass flow controlled system. In order to analyse the stability and the dynamic performance of the controlled system a Lyapunov approach is proposed. Through this approach the condition of the two parameters which characterise the controller are calculated.

History

Received: October 4, 2016
Revised: November 20, 2016
Published: December 11, 2016

AMS Classification, Key Words

AMS Subject Classification: 49K15, 37N35, 34K35
Key Words and Phrases: problems involving ordinary differential equations, dynamical systems in control, control problems

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Bibliography

1
M. Lelic and Z. Gajic, A reference guide to PID controllers in the nineties, In: Proceedings of PID '00: IFAC Workshop on Digital Control, 73-82, Terrassa, Spain, 2000.

2
P. Mercorelli, R. Halbe, J. Goes, A Lyapunov based PI controller with an anti-windup scheme for a purification process of potable water, In: Proceedings of the IEEE International Conference on Control, Decision and Information Technologies, CoDIT 2014, 578-583, Metz, 2014.

3
Paolo Mercorelli, An optimal and stabilising PI controller with an anti-windup scheme for a purification process of potable water, IFAC-PapersOnLine, 48, No. 25 (2015), 259-264.

How to Cite?

DOI: 10.12732/ijpam.v111i2.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 111
Issue: 2
Pages: 281 - 285


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