Dr Chris Guiver C.Guiver@napier.ac.uk
Lecturer
Low‐gain integral control for a class of discrete‐time Lur'e systems with applications to sampled‐data control
Guiver, Chris; Rebarber, Richard; Townley, Stuart
Authors
Richard Rebarber
Stuart Townley
Abstract
We study low-gain (P)roportional (I)ntegral control of multivariate discrete-time, forced Lur’e systems to solve the output-tracking problem for constant reference signals. We formulate an incremental sector condition which is sufficient for a usual linear low-gain PI controller to achieve exponential disturbance-to-state and disturbance-to-tracking-error stability in closed-loop, for all sufficiently small integrator gains. Output tracking is achieved in the absence of exogenous disturbance (noise) terms. Our line of argument invokes a recent circle criterion for exponential incremental input-to-state stability. The discrete-time theory facilitates a similar result for a continuous-time forced Lur’e system in feedback with sampled-data low-gain integral control. The theory is illustrated by two examples.
Citation
Guiver, C., Rebarber, R., & Townley, S. (2023). Low‐gain integral control for a class of discrete‐time Lur'e systems with applications to sampled‐data control. International Journal of Robust and Nonlinear Control, 33(3), 1410-1437. https://doi.org/10.1002/rnc.6455
Journal Article Type | Article |
---|---|
Acceptance Date | Aug 8, 2022 |
Online Publication Date | Nov 22, 2022 |
Publication Date | 2023-02 |
Deposit Date | Aug 9, 2022 |
Publicly Available Date | Nov 22, 2022 |
Print ISSN | 1049-8923 |
Electronic ISSN | 1099-1239 |
Publisher | Wiley |
Peer Reviewed | Peer Reviewed |
Volume | 33 |
Issue | 3 |
Pages | 1410-1437 |
DOI | https://doi.org/10.1002/rnc.6455 |
Keywords | discrete-time, input-to-state stability, low-gain integral control, Lur’e systems, sampled-data control |
Public URL | http://researchrepository.napier.ac.uk/Output/2895254 |
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Low-gain Integral Control For A Class Of Discrete-time Lur'e Systems With Applications To Sampled-data Control
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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/
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