Abstract
A non-linear adaptive observer is proposed to estimate the unmeasured states of a class of time-delay non-linear systems. Irrespective of the size of the constant delay, it is shown that the observer is globally convergent if the growth rate of the system non-linearities is output dependent. The presented results generalize previous results on observation of Lipschitz time-delay systems. Subsequently, the observer-based control problem of time-delay systems, having triangular structure, is discussed for arbitrary large constant delay.
| Original language | English |
|---|---|
| Pages (from-to) | 617-638 |
| Number of pages | 22 |
| Journal | IMA Journal of Mathematical Control and Information |
| Volume | 33 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 2016 |
Bibliographical note
Publisher Copyright:© The Authors 2015. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Keywords
- non-linear control
- observability
- observer design
- system theory
- time-delay systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization
- Applied Mathematics
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