Representing a nonlinear state space system as a set of higher-order differential equations in the inputs and ouputs

Arjan van der Schaft

doi:10.1016/0167-6911(89)90008-X

Representing a nonlinear state space system as a set of higher-order differential equations in the inputs and ouputs

Arjan van der Schaft

University of Twente

Research output: Contribution to journal › Article › Academic

38 Citations (Scopus)

156 Downloads (Pure)

Abstract

An algorithm is presented for transforming a nonlinear state space system into a threefold set of equations; the first subset describing the dynamics of the unobservable part of the system, the second subset representing the remaining state variables as functions of inputs and outputs and their derivatives, and the last subset defining the external behaviour of the system.

Original language	Undefined
Pages (from-to)	151-160
Journal	Systems and control letters
Volume	12
Issue number	2
DOIs	https://doi.org/10.1016/0167-6911(89)90008-X
Publication status	Published - 1989

Keywords

equivalence transformation
external differential system
IR-70432
Nonlinear control system
Observability

Access to Document

10.1016/0167-6911(89)90008-X

Schaft89representing

Cite this

@article{ec71230260f3436fbffd92402cba27d1,

title = "Representing a nonlinear state space system as a set of higher-order differential equations in the inputs and ouputs",

abstract = "An algorithm is presented for transforming a nonlinear state space system into a threefold set of equations; the first subset describing the dynamics of the unobservable part of the system, the second subset representing the remaining state variables as functions of inputs and outputs and their derivatives, and the last subset defining the external behaviour of the system.",

keywords = "equivalence transformation, external differential system, IR-70432, Nonlinear control system, Observability",

author = "{van der Schaft}, Arjan",

year = "1989",

doi = "10.1016/0167-6911(89)90008-X",

language = "Undefined",

volume = "12",

pages = "151--160",

journal = "Systems and control letters",

issn = "0167-6911",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Representing a nonlinear state space system as a set of higher-order differential equations in the inputs and ouputs

AU - van der Schaft, Arjan

PY - 1989

Y1 - 1989

N2 - An algorithm is presented for transforming a nonlinear state space system into a threefold set of equations; the first subset describing the dynamics of the unobservable part of the system, the second subset representing the remaining state variables as functions of inputs and outputs and their derivatives, and the last subset defining the external behaviour of the system.

AB - An algorithm is presented for transforming a nonlinear state space system into a threefold set of equations; the first subset describing the dynamics of the unobservable part of the system, the second subset representing the remaining state variables as functions of inputs and outputs and their derivatives, and the last subset defining the external behaviour of the system.

KW - equivalence transformation

KW - external differential system

KW - IR-70432

KW - Nonlinear control system

KW - Observability

U2 - 10.1016/0167-6911(89)90008-X

DO - 10.1016/0167-6911(89)90008-X

M3 - Article

VL - 12

SP - 151

EP - 160

JO - Systems and control letters

JF - Systems and control letters

SN - 0167-6911

IS - 2

ER -