Max E. Gilmore
Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities
Gilmore, Max E.; Guiver, Chris; Logemann, Hartmut
Abstract
A low-gain integral controller with anti-windup component is presented for exponentially stable, linear, discrete-time, infinite-dimensional control systems subject to input nonlinearities and external disturbances. We derive a disturbance-to-state stability result which, in particular, guarantees that the tracking error converges to zero in the absence of disturbances. The discrete-time result is then used in the context of sampled-data low-gain integral control of stable well-posed linear infinite-dimensional systems with input nonlinearities. The sampled-date control scheme is applied to two examples (including sampled-data control of a heat equation on a square) which are discussed in some detail.
Journal Article Type | Article |
---|---|
Acceptance Date | Dec 1, 2020 |
Publication Date | 2022-03 |
Deposit Date | Dec 11, 2020 |
Publicly Available Date | Feb 1, 2022 |
Print ISSN | 2156-8472 |
Publisher | American Institute of Mathematical Sciences |
Peer Reviewed | Peer Reviewed |
Volume | 12 |
Issue | 1 |
Pages | 17-47 |
DOI | https://doi.org/10.3934/mcrf.2021001 |
Keywords | Anti-windup methods, discrete-time, input-to-state stability, integral control, quantization, sampled-data control, saturation, well-posed infinite-dimensional systems |
Public URL | http://researchrepository.napier.ac.uk/Output/2710376 |
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Sampled-data Integral Control Of Multivariable Linear Infinite-dimensional Systems With Input Nonlinearities (accepted version)
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