Dynamic decoupling for right-invertible nonlinear systems
type: Item
instance of: scholarly article
title: Dynamic decoupling for right-invertible nonlinear systems
zbMATH Open document ID: 0617.93024
DOI: 10.1016/0167-6911(87)90101-0
author: J. Descusse
author: C. H. Moog
published in: Systems \& Control Letters
publication date: 1987-01-01T00:00:00Z
review text: Affine nonlinear control systems \[ (*)\quad x=A(x)+B(x)u,\quad y=C(x) \] with m inputs and p outputs are considered. Furthermore, let \(K=Rt\) denote the differential field of rational functions of t with real coefficients and assume that all the components of A(x), B(x) and C(x) are elementary transcendental functions of their arguments. Denote by \(Ky_ 1,y_ 2\), \(...,y_ p\) the differential field generated by the components of the output and define as differential output rank of the system (*) the differential transcendence degree of \(Ky_ 1,y_ 2\), \(...,y_ p\) over K. A system (*) is said to be invertible iff its differential output rank is p. The main result is the following. Any system (*) which is right invertible in the above sense can always be locally decoupled via dynamical state feedback. An algorithm to compute the decoupling feedback is given.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B27
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93B50
zbMATH DE Number: 4001965
zbMATH Keywords: right invertibility
zbMATH Keywords: Affine nonlinear control systems
zbMATH Keywords: dynamical state feedback
zbMATH Keywords: decoupling
reviewed by: A. M. Perdon
MaRDI profile type: Publication
full work available at URL: 0167-6911(87)90101-0
OpenAlex ID: W2019670175
cites work: Q3884786
cites work: Decoupling with dynamic compensation for strong invertible affine non-linear systems
cites work: A note on the invertibility of nonlinear input-output differential systems
cites work: A new approach to the structure at infinity of nonlinear systems
cites work: Nonlinear decoupling via feedback: A differential geometric approach
cites work: Kähler differentials and differential algebra
cites work: Q5680222
cites work: Q3963731
cites work: Decoupling of invertible nonlinear systems with state feedback and precompensation
cites work: The reproducibility of multivariable systems
Recommended article: Q3139464
Recommended article: Dynamic Disturbance Decoupling for Nonlinear Systems
Recommended article: Q4310167
Recommended article: Decoupling with dynamic compensation for strong invertible affine non-linear systems
Recommended article: Dynamic input-output decoupling of nonlinear control systems
Recommended article: Q4848616
Recommended article: Q5752425
Recommended article: Q4877347
Recommended article: Q4338420
Recommended article: Q3676010
description: scientific article; zbMATH DE number 4001965