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Inexact predictor feedback for multi-input nonlinear systems with distinct input delays.
- Source :
-
Automatica . Jan2024, Vol. 159, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This paper presents a strategy of inexact predictor-feedback control for multi-input nonlinear systems with distinct delays. The controllers designed by an inexact predictor robustly compensate for the different delays. Different from exact predictor feedback, we propose a scheme that can achieve exponential stability of the system without accurately compensating for each delay and has the property of less complexity. For this purpose, we adopt a fixed constant as the prediction horizon, which is restricted to being within a sufficiently narrow range. Its function is to offset the partial effect of each delay. With a new Lyapunov-Krasovskii functional based on an infinite-dimensional backstepping transformation, we prove the global exponential stability of the closed-loop system. Finally, a numerical example is presented to verify the effectiveness of the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR systems
*EXPONENTIAL stability
*CLOSED loop systems
*HOPFIELD networks
Subjects
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 159
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 173945233
- Full Text :
- https://doi.org/10.1016/j.automatica.2023.111399