A note on input-to-state stabilization for nonlinear sampled-data systems

D. Nesic; Dina Shona Laila

doi:10.1109/TAC.2002.800663

A note on input-to-state stabilization for nonlinear sampled-data systems

D. Nesic, Dina Shona Laila

Research output: Contribution to journal › Article

134 Citations (Scopus)

Abstract

We provide a framework for the design of L/sub /spl infin// stabilizing controllers via approximate discrete-time models for sampled-data nonlinear systems with disturbances. In particular, we present sufficient conditions under which a discrete-time controller that input-to-state stabilizes an approximate discrete-time model of a nonlinear plant with disturbances would also input-to-state stabilize (in an appropriate sense) the exact discrete-time plant model.

Original language	English
Pages (from-to)	1153-1158
Journal	IEEE Transactions on Automatic Control
Volume	47
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2002.800663
Publication status	Published - 2002

Bibliographical note

The full text is not available on the repository.

Keywords

Nonlinear control systems
Nonlinear systems
Sampling methods
Sufficient conditions
Stability
Control system synthesis
Differential equations
Australia Council
control system synthesis
nonlinear systems
sampled data systems
discrete time systems
robust control
stability
input-to-state stability
stabilizing controllers
sampled-data systems
sufficient conditions
discrete-time model

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10.1109/TAC.2002.800663

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title = "A note on input-to-state stabilization for nonlinear sampled-data systems",

abstract = "We provide a framework for the design of L/sub /spl infin// stabilizing controllers via approximate discrete-time models for sampled-data nonlinear systems with disturbances. In particular, we present sufficient conditions under which a discrete-time controller that input-to-state stabilizes an approximate discrete-time model of a nonlinear plant with disturbances would also input-to-state stabilize (in an appropriate sense) the exact discrete-time plant model.",

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AU - Nesic, D.

AU - Laila, Dina Shona

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PY - 2002

Y1 - 2002

N2 - We provide a framework for the design of L/sub /spl infin// stabilizing controllers via approximate discrete-time models for sampled-data nonlinear systems with disturbances. In particular, we present sufficient conditions under which a discrete-time controller that input-to-state stabilizes an approximate discrete-time model of a nonlinear plant with disturbances would also input-to-state stabilize (in an appropriate sense) the exact discrete-time plant model.

AB - We provide a framework for the design of L/sub /spl infin// stabilizing controllers via approximate discrete-time models for sampled-data nonlinear systems with disturbances. In particular, we present sufficient conditions under which a discrete-time controller that input-to-state stabilizes an approximate discrete-time model of a nonlinear plant with disturbances would also input-to-state stabilize (in an appropriate sense) the exact discrete-time plant model.

KW - Nonlinear control systems

KW - Nonlinear systems

KW - Sampling methods

KW - Sufficient conditions

KW - Stability

KW - Control system synthesis

KW - Differential equations

KW - Australia Council

KW - control system synthesis

KW - nonlinear systems

KW - sampled data systems

KW - discrete time systems

KW - robust control

KW - stability

KW - input-to-state stability

KW - stabilizing controllers

KW - sampled-data systems

KW - sufficient conditions

KW - discrete-time model

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DO - 10.1109/TAC.2002.800663

M3 - Article

SN - 0018-9286

SN - 1558-2523

VL - 47

SP - 1153

EP - 1158

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 7

ER -

A note on input-to-state stabilization for nonlinear sampled-data systems

Abstract

Bibliographical note

Keywords

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