Robust nonlinear integral control

Zhong Ping Jiang; Iven Mareels

doi:10.1109/9.940947

Robust nonlinear integral control

Zhong Ping Jiang, Iven Mareels

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

It is well known from linear systems theory that an integral control law is needed for asymptotic set-point regulation under parameter perturbations. This note presents a similar result for a class of nonlinear systems in the presence of an unknown equilibrium due to uncertain non-linearities and dynamic uncertainties. Both partial-state and output feed- back cases are considered. Sufficient small-gain type conditions are identified for existence of linear and nonlinear control laws. A procedure for robust nonlinear integral controller design is presented and illustrated via a practical example of fan speed control.

Original language	English (US)
Pages (from-to)	1336-1342
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	46
Issue number	8
DOIs	https://doi.org/10.1109/9.940947
State	Published - Aug 2001

Keywords

Dynamic uncertainties
Input-to-state stability
Nonlinear systems
Robust integral control
Small-gain

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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AB - It is well known from linear systems theory that an integral control law is needed for asymptotic set-point regulation under parameter perturbations. This note presents a similar result for a class of nonlinear systems in the presence of an unknown equilibrium due to uncertain non-linearities and dynamic uncertainties. Both partial-state and output feed- back cases are considered. Sufficient small-gain type conditions are identified for existence of linear and nonlinear control laws. A procedure for robust nonlinear integral controller design is presented and illustrated via a practical example of fan speed control.

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