Controlled invariance for nonlinear systems: Two worked examples

Henk Nijmeijer; Arjan van der Schaft

Controlled invariance for nonlinear systems: Two worked examples

Henk Nijmeijer, Arjan van der Schaft

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Abstract

In this note, we present two worked examples of disturbance decoupling for nonlinear systems, using the concept of controlled invariance, which was recently generalized to nonlinear systems. In the first example, we explicitly construct a feedback which decouples a disturbance from the vertical components of the axes of a rotating rigid body, while the second example deals with a particle in a potential field subject to a disturbance.

Original language	English
Pages (from-to)	361-364
Journal	IEEE transactions on automatic control
Volume	29
Issue number	4
Publication status	Published - 1984

Keywords

Nonlinear control systems
Invariant distribution
Disturbance decoupling

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title = "Controlled invariance for nonlinear systems: Two worked examples",

abstract = "In this note, we present two worked examples of disturbance decoupling for nonlinear systems, using the concept of controlled invariance, which was recently generalized to nonlinear systems. In the first example, we explicitly construct a feedback which decouples a disturbance from the vertical components of the axes of a rotating rigid body, while the second example deals with a particle in a potential field subject to a disturbance.",

keywords = "Nonlinear control systems, Invariant distribution, Disturbance decoupling",

author = "Henk Nijmeijer and {van der Schaft}, Arjan",

year = "1984",

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journal = "IEEE transactions on automatic control",

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T1 - Controlled invariance for nonlinear systems

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AU - Nijmeijer, Henk

AU - van der Schaft, Arjan

PY - 1984

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AB - In this note, we present two worked examples of disturbance decoupling for nonlinear systems, using the concept of controlled invariance, which was recently generalized to nonlinear systems. In the first example, we explicitly construct a feedback which decouples a disturbance from the vertical components of the axes of a rotating rigid body, while the second example deals with a particle in a potential field subject to a disturbance.

KW - Nonlinear control systems

KW - Invariant distribution

KW - Disturbance decoupling

M3 - Article

VL - 29

SP - 361

EP - 364

JO - IEEE transactions on automatic control

JF - IEEE transactions on automatic control

SN - 0018-9286

IS - 4

ER -