Adaptive output tracking for nonlinear infinite-dimensional systems
(2022) IFAC Proceedings — Vol. 55, n° 26, p. 39-46 (2022)
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- Authors
Dochain, Denis 
- Abstract
- An adaptive model-free funnel controller is presented for the output tracking aptive model-free funnel controller is presented for the output tracking of a general class of input-output (nonlinear) systems, which may encompass systems with possibly infinite-dimensional internal dynamics. After describing the system class and the related assumptions, the main result states that funnel control is well-adapted for a general class of semilinear infinite-dimensional systems with globally Lipschitz nonlinearity, by using a decomposition of the state space based on the existing Byrnes-Isidori form. Standard assumptions are stated, and in particular the Bounded Input State Bounded Output (BISBO) stability of the nonlinear infinite-dimensional system. A way of getting this assumption is presented too. The theoretical results are applied
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Citations
Anthony Hastir, Winkin, J., & Dochain, D. (2022). Adaptive output tracking for nonlinear infinite-dimensional systems. IFAC Proceedings, 55(26), 39-46. https://hdl.handle.net/2078.5/164175 (Original work published 2022)