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Journal ArticleDOI

High-gain observers in nonlinear feedback control

Hassan K. Khalil, +1 more
- 01 Apr 2014 - 
- Vol. 24, Iss: 6, pp 993-1015
TLDR
This talk is a brief introduction to high-gain observers in nonlinear feedback control, with emphasis on the peaking phenomenon and the role of control saturation in dealing with it.
Abstract
In this document, we present the main ideas and results concerning high-gain observers and some of their applications in control. The introduction gives a brief history of the topic. Then, a motivating second-order example is used to illustrate the key features of high-gain observers and their use in feedback control. This is followed by a general presentation of high-gain-observer theory in a unified framework that accounts for modeling uncertainty, as well as measurement noise. The paper concludes by discussing the use of high-gain observers in the robust control of minimum-phase nonlinear systems.

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Citations
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Global Output Feedback Stabilization of a Class of Nonlinear Systems via Linear Sampled-Data Control

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A Nonlinear High-Gain Observer for Systems With Measurement Noise in a Feedback Control Framework

TL;DR: The nonlinear-gain observer presented in this paper is shown to surpass the system performance achieved when using comparable linear-gain observers, and the proof argues boundedness and ultimate boundedness of the closed-loop system under the proposed output feedback.
References
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Journal ArticleDOI

A simple observer for nonlinear systems applications to bioreactors

TL;DR: In this paper, an observer for nonlinear systems is constructed under rather general technical assumptions (the fact that some functions are globally Lipschitz) and a tentative application to biological systems is described.
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