We provide a bounded backstepping result that ensures global asymptotic convergence for a broad class of partially linear systems with an arbitrarily large number of integrators. We use one artificial delay, and we assume that the nonlinear subsystems satisfy a converging-input-converging-state assumption. When the nonlinear subsystem is control affine with the state of the first integrator as the control, we provide sufficient conditions for our converging-input-converging-state assumption to hold. Our example illustrates the novelty and utility of our main result.
Publication Source (Journal or Book title)
2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Mazenc, F., Malisoff, M., Burlion, L., & Gibert, V. (2018). Bounded backstepping through a dynamic extension with delay. 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017, 2018-January, 607-611. https://doi.org/10.1109/CDC.2017.8263727