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- Title
Delay‐adaptive control of first‐order hyperbolic partial integro‐differential equations.
- Authors
Wang, Shanshan; Qi, Jie; Krstic, Miroslav
- 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.
- Subjects
PARTIAL differential equations; INTEGRO-differential equations; BACKSTEPPING control method; DELAY differential equations
- Publication
International Journal of Robust & Nonlinear Control, 2024, Vol 34, Issue 10, p6784
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.7257