Adaptive observer design for a class of delayed parabolic systems

Abstract

A new adaptive observer is proposed for a class of uncertain time-delay parabolic systems. The uncertainties are located in both the state equation and the output equation which are also subjected to a distributed delay. Our algorithm is based on backstepping-like transformation and a classical persistent excitation condition. To illustrate the performances of this observer, simulation results are provided.

KEYWORDS:

• Adaptive observers
• uncertain systems
• distributed delay

Disclosure statement

No potential conflict of interest was reported by the author(s).