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Delay‐adaptive control of first‐order hyperbolic partial integro‐differential equations.
- Source :
-
International Journal of Robust & Nonlinear Control . 7/10/2024, Vol. 34 Issue 10, p6784-6803. 20p. - Publication Year :
- 2024
-
Abstract
- We develop a delay‐adaptive controller for a class of first‐order hyperbolic partial integro‐differential equations with an unknown input delay. By employing a transport PDE to represent delayed actuator states, the system is transformed into a transport partial differential equation with unknown propagation speed cascaded with a PIDE. A parameter update law is designed using a Lyapunov argument and the infinite‐dimensional backstepping technique to establish global stability results. Subsequently, the effectiveness of the proposed approach was validated through numerical simulations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10498923
- Volume :
- 34
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- International Journal of Robust & Nonlinear Control
- Publication Type :
- Academic Journal
- Accession number :
- 177614204
- Full Text :
- https://doi.org/10.1002/rnc.7257