Nonsmooth stabilizability and feedback linearization of discrete-time nonlinear systems

Carlota Simoes; C. Simoes; Henk Nijmeijer; J. Tsinias; J. Tsinias

doi:10.1002/(SICI)1099-1239(199604)6:3<171::AID-RNC140>3.0.CO;2-0

Nonsmooth stabilizability and feedback linearization of discrete-time nonlinear systems

Carlota Simoes, C. Simoes, Henk Nijmeijer, J. Tsinias, J. Tsinias

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

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Abstract

We consider the problem of stabilizing a discrete-time nonlinear system using a feedback which is not necessarily smooth. A sufficient condition for global dynamical stabilizability of single-input triangular systems is given. We obtain conditions expressed in terms of distributions for the nonsmooth feedback triangularization and linearization of discrete-time systems. Relations between stabilization and linearization of discrete-time systems are given.

Original language	Undefined
Pages (from-to)	171-188
Number of pages	18
Journal	International journal of robust and nonlinear control
Volume	6
Issue number	6
DOIs	https://doi.org/10.1002/(SICI)1099-1239(199604)6:3<171::AID-RNC140>3.0.CO;2-0
Publication status	Published - 1996

Keywords

Nonlinear discrete-time systems
nonsmooth stabilization
METIS-140860
IR-71289
feedback linearization

Access to Document

10.1002/(SICI)1099-1239(199604)6:3<171::AID-RNC140>3.0.CO;2-0

Simoes96nonsmooth

Cite this

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title = "Nonsmooth stabilizability and feedback linearization of discrete-time nonlinear systems",

abstract = "We consider the problem of stabilizing a discrete-time nonlinear system using a feedback which is not necessarily smooth. A sufficient condition for global dynamical stabilizability of single-input triangular systems is given. We obtain conditions expressed in terms of distributions for the nonsmooth feedback triangularization and linearization of discrete-time systems. Relations between stabilization and linearization of discrete-time systems are given.",

keywords = "Nonlinear discrete-time systems, nonsmooth stabilization, METIS-140860, IR-71289, feedback linearization",

author = "Carlota Simoes and C. Simoes and Henk Nijmeijer and J. Tsinias and J. Tsinias",

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T1 - Nonsmooth stabilizability and feedback linearization of discrete-time nonlinear systems

AU - Simoes, Carlota

AU - Simoes, C.

AU - Nijmeijer, Henk

AU - Tsinias, J.

PY - 1996

Y1 - 1996

N2 - We consider the problem of stabilizing a discrete-time nonlinear system using a feedback which is not necessarily smooth. A sufficient condition for global dynamical stabilizability of single-input triangular systems is given. We obtain conditions expressed in terms of distributions for the nonsmooth feedback triangularization and linearization of discrete-time systems. Relations between stabilization and linearization of discrete-time systems are given.

AB - We consider the problem of stabilizing a discrete-time nonlinear system using a feedback which is not necessarily smooth. A sufficient condition for global dynamical stabilizability of single-input triangular systems is given. We obtain conditions expressed in terms of distributions for the nonsmooth feedback triangularization and linearization of discrete-time systems. Relations between stabilization and linearization of discrete-time systems are given.

KW - Nonlinear discrete-time systems

KW - nonsmooth stabilization

KW - METIS-140860

KW - IR-71289

KW - feedback linearization

U2 - 10.1002/(SICI)1099-1239(199604)6:3<171::AID-RNC140>3.0.CO;2-0

DO - 10.1002/(SICI)1099-1239(199604)6:3<171::AID-RNC140>3.0.CO;2-0

M3 - Article

SN - 1049-8923

VL - 6

SP - 171

EP - 188

JO - International journal of robust and nonlinear control

JF - International journal of robust and nonlinear control

IS - 6

ER -