Document Type
Article
Publication Date
1-1-2022
Abstract
We address the problem of constructing matrix-valued interval observers for estimating state transition matrices for time-varying systems. We provide less conservative estimators than those in recent literature. We cover continuous-and discrete-time linear systems, under Metzler or nonnegativity conditions on the coefficient matrices. We show how to satisfy our Metzler conditions after simple changes of coordinates. We illustrate our method using a feedback stabilized underwater marine robotic dynamics with unknown control gains.
Publication Source (Journal or Book title)
IEEE Control Systems Letters
First Page
2677
Last Page
2682
Recommended Citation
Mazenc, F., & Malisoff, M. (2022). New Bounds for State Transition Matrices. IEEE Control Systems Letters, 6, 2677-2682. https://doi.org/10.1109/LCSYS.2022.3173816