Brief paper: Observer-based control of a class of time-delay nonlinear systems having triangular structure

Authors:
Salim Ibrir
Affiliations:
-
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 2
Cited 1

Brief paper: LMI-based sensor fault diagnosis for nonlinear Lipschitz systems

Automatica (Journal of IFAC)
Fault diagnosis of a class of nonlinear uncertain systems with Lipschitz nonlinearities using adaptive estimation

Automatica (Journal of IFAC)

Output feedback control of large-scale nonlinear time-delay systems in lower triangular form

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.15

Visualization

Abstract

Time-delay systems constitute a special class of dynamical systems that are frequently present in many fields of engineering. It has been shown in the literature that the existence of a stabilizing observer-based controller is related to delay-dependent conditions that are generally satisfied for a small time delay. Motivating works towards reducing the conservatism of the results are among the on-going research topics especially when partial-state measurements are imposed. This paper investigates the problem of observer-based stabilization of a class of time-delay nonlinear systems written in triangular form. First, we show that a delay nonlinear observer is globally convergent under the global Lipschitz condition of the system nonlinearity. Then, it is shown that a parameterized linear feedback that uses the observer states can stabilize the system whatever the size of the delay. An illustrative example is provided to approve the theoretical results.