Title
Sampled-Data Observer Design For Delayed Output-Injection State-Affine Systems
Abstract
We are considering the problem of observer design for a general class of state-affine systems in presence of output delay and sampling. Two novelties characterize the considered class of systems: (i) the state equation is subject to output injection involving future output values (not accessible to measurement); (ii) the injected output values come in the state equation not only through a driving term but also through the state matrix. These novel characteristics entail the loss of the system state-affine nature and lead to a new observer design problem never investigated so far. The solution we develop in this paper is a sampled-data based observer of Kalman-like type, augmented with inter-sample predictors and signal saturations. Using both Lyapunov and small-gain arguments, we show that the observer is exponentially convergent for sufficiently small sampling interval and delay, provided an observability condition is satisfied.
Year
DOI
Venue
2020
10.1080/00207179.2019.1569263
INTERNATIONAL JOURNAL OF CONTROL
Keywords
DocType
Volume
Nonlinear systems, state observer, output delay, sampled measurements
Journal
93
Issue
ISSN
Citations 
12
0020-7179
0
PageRank 
References 
Authors
0.34
15
5
Name
Order
Citations
PageRank
Fabien Cuny100.34
Rachid Lajouad200.68
F. Giri311029.41
Tarek Ahmed-Ali424526.90
Vincent Van Assche5547.38