Singular perturbations and time-scale methods in control theory: Survey 1976-1983

V.R. Saksena; J. O'Reilly; P.V. Kokotovic

doi:10.1016/0005-1098(84)90044-X

Singular perturbations and time-scale methods in control theory: Survey 1976-1983

V.R. Saksena, J. O'Reilly, P.V. Kokotovic

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

414 Scopus citations

Abstract

Recent progress in the use of singular perturbation and two-time-scale methods of modeling and design for control systems is reviewed. Over 350 references are organized into major problem areas. Representative issues and results are discussed with a view to outlining research directions and indicating potential areas of application. The survey is aimed at engineers and applied mathematicians interested in model-order reduction, separation of time scales and allied simplified methods of control system analysis and design. The exposition does not assume prior knowledge of singular perturbation methods. © 1984.

Original language	British English
Pages (from-to)	273-293
Number of pages	21
Journal	Automatica
Volume	20
Issue number	3
DOIs	https://doi.org/10.1016/0005-1098(84)90044-X
State	Published - 1984

Keywords

decomposition
estimation
large-scale systems
nonlinear control systems
regulator theory
robustness
Singular perturbations
stability
MATHEMATICAL TECHNIQUES - Perturbation Techniques
SINGULAR PERTURBATIONS
TIME-SCALE METHODS
CONTROL SYSTEMS

Access to Document

10.1016/0005-1098(84)90044-X

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0021425563&doi=10.1016%2f0005-1098%2884%2990044-X&partnerID=40&md5=759d2e92adb739ed59dd3e2dbd827b93

Cite this

@article{1c33430b272a414ea2a12e1541214e9c,

title = "Singular perturbations and time-scale methods in control theory: Survey 1976-1983",

abstract = "Recent progress in the use of singular perturbation and two-time-scale methods of modeling and design for control systems is reviewed. Over 350 references are organized into major problem areas. Representative issues and results are discussed with a view to outlining research directions and indicating potential areas of application. The survey is aimed at engineers and applied mathematicians interested in model-order reduction, separation of time scales and allied simplified methods of control system analysis and design. The exposition does not assume prior knowledge of singular perturbation methods. {\textcopyright} 1984.",

keywords = "decomposition, estimation, large-scale systems, nonlinear control systems, regulator theory, robustness, Singular perturbations, stability, MATHEMATICAL TECHNIQUES - Perturbation Techniques, SINGULAR PERTURBATIONS, TIME-SCALE METHODS, CONTROL SYSTEMS",

author = "V.R. Saksena and J. O'Reilly and P.V. Kokotovic",

note = "Export Date: 29 November 2023; Cited By: 399; CODEN: ATCAA",

year = "1984",

doi = "10.1016/0005-1098(84)90044-X",

language = "British English",

volume = "20",

pages = "273--293",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd",

number = "3",

}

TY - JOUR

T1 - Singular perturbations and time-scale methods in control theory: Survey 1976-1983

AU - Saksena, V.R.

AU - O'Reilly, J.

AU - Kokotovic, P.V.

N1 - Export Date: 29 November 2023; Cited By: 399; CODEN: ATCAA

PY - 1984

Y1 - 1984

N2 - Recent progress in the use of singular perturbation and two-time-scale methods of modeling and design for control systems is reviewed. Over 350 references are organized into major problem areas. Representative issues and results are discussed with a view to outlining research directions and indicating potential areas of application. The survey is aimed at engineers and applied mathematicians interested in model-order reduction, separation of time scales and allied simplified methods of control system analysis and design. The exposition does not assume prior knowledge of singular perturbation methods. © 1984.

AB - Recent progress in the use of singular perturbation and two-time-scale methods of modeling and design for control systems is reviewed. Over 350 references are organized into major problem areas. Representative issues and results are discussed with a view to outlining research directions and indicating potential areas of application. The survey is aimed at engineers and applied mathematicians interested in model-order reduction, separation of time scales and allied simplified methods of control system analysis and design. The exposition does not assume prior knowledge of singular perturbation methods. © 1984.

KW - decomposition

KW - estimation

KW - large-scale systems

KW - nonlinear control systems

KW - regulator theory

KW - robustness

KW - Singular perturbations

KW - stability

KW - MATHEMATICAL TECHNIQUES - Perturbation Techniques

KW - SINGULAR PERTURBATIONS

KW - TIME-SCALE METHODS

KW - CONTROL SYSTEMS

U2 - 10.1016/0005-1098(84)90044-X

DO - 10.1016/0005-1098(84)90044-X

M3 - Article

SN - 0005-1098

VL - 20

SP - 273

EP - 293

JO - Automatica

JF - Automatica

IS - 3

ER -

Singular perturbations and time-scale methods in control theory: Survey 1976-1983

Abstract

Keywords

Access to Document

Fingerprint

Cite this