Document Type
Conference Proceeding
Publication Date
1-1-2023
Abstract
We provide new observer designs to simultaneously identify parameters and states of systems whose nonlinearities have order two near the origin, which include cubic terms arising in the study of jump phenomena, process control, and bistable models of aerospace systems. This yields local exponential convergence of the state estimation error to zero, basin of attraction estimates, and fixed time parameter identification. We illustrate our result using Duffing's equation, whose cubic term puts it outside the scope of prior methods.
Publication Source (Journal or Book title)
Proceedings of the American Control Conference
First Page
3042
Last Page
3047
Recommended Citation
Mazenc, F., & Malisoff, M. (2023). Local Observer for Parameters and for State Variables of Nonlinear Systems. Proceedings of the American Control Conference, 2023-May, 3042-3047. https://doi.org/10.23919/ACC55779.2023.10156653