Fixed-Time Input-to-State Stabilization of Discrete-Time Systems
Document Type
Article
Publication Date
1-1-2024
Abstract
We prove fixed-time input-to-state stability estimates for discrete-time time-varying linear systems in closed loop with sampled-data control laws. The upper bounds for the norms of the states in the estimates are suprema of the uncertainties over time intervals of constant finite lengths. We cover output feedback stabilization and input delays. We combine our results with a trajectory based approach, to prove novel global exponential input-to-state stability estimates for nonlinear systems with state delays. We illustrate our work using a dynamics containing an unknown nonlinearity and an unknown state delay.
Publication Source (Journal or Book title)
IEEE Control Systems Letters
Recommended Citation
Mazenc, F., & Malisoff, M. (2024). Fixed-Time Input-to-State Stabilization of Discrete-Time Systems. IEEE Control Systems Letters https://doi.org/10.1109/LCSYS.2024.3499752