On the robust stabilizability of uncertain linear time-invariant plants using nonlinear time-varying controllers

Tryphon T. Georgiou; Antonio M. Pascoal; Pramod P. Khargonekar

doi:10.1016/0005-1098(87)90057-4

On the robust stabilizability of uncertain linear time-invariant plants using nonlinear time-varying controllers

Tryphon T. Georgiou, Antonio M. Pascoal, Pramod P. Khargonekar

Electrical and Computer Engineering

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

18 Scopus citations

Abstract

We consider general families of linear time-invariant plants described by a nominal plant model with additive or multiplicative unstructured modeling uncertainty. We show that such families of plants are robustly (uniformly) stabilizable by nonlinear time-varying controllers, if and only if they are robustly stabilizable by linear time-invariant ones. Some auxiliary results on Hankel and L_∞-norm approximation are also obtained.

Original language	English (US)
Pages (from-to)	617-624
Number of pages	8
Journal	Automatica
Volume	23
Issue number	5
DOIs	https://doi.org/10.1016/0005-1098(87)90057-4
State	Published - Sep 1987

Bibliographical note

Funding Information:
Acknowledgements--This research was supported in part by the National Science Foundation under Grant No. ECS-8451519, and in part by grants from Honeywell, 3M, E. F. Johnson and Sperry Corps.

Keywords

Control system analysis
feedback control
frequency domain
mathematical system theory
nonlinear control systems
robust control
stability
system order reduction

Publisher link

10.1016/0005-1098(87)90057-4

Find It

Find It at U of M Libraries

Cite this

@article{8ba4796fef5b45409df8997591c807f4,

title = "On the robust stabilizability of uncertain linear time-invariant plants using nonlinear time-varying controllers",

abstract = "We consider general families of linear time-invariant plants described by a nominal plant model with additive or multiplicative unstructured modeling uncertainty. We show that such families of plants are robustly (uniformly) stabilizable by nonlinear time-varying controllers, if and only if they are robustly stabilizable by linear time-invariant ones. Some auxiliary results on Hankel and L∞-norm approximation are also obtained.",

keywords = "Control system analysis, feedback control, frequency domain, mathematical system theory, nonlinear control systems, robust control, stability, system order reduction",

author = "Georgiou, {Tryphon T.} and Pascoal, {Antonio M.} and Khargonekar, {Pramod P.}",

note = "Funding Information: Acknowledgements--This research was supported in part by the National Science Foundation under Grant No. ECS-8451519, and in part by grants from Honeywell, 3M, E. F. Johnson and Sperry Corps.",

year = "1987",

month = sep,

doi = "10.1016/0005-1098(87)90057-4",

language = "English (US)",

volume = "23",

pages = "617--624",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd",

number = "5",

}

TY - JOUR

T1 - On the robust stabilizability of uncertain linear time-invariant plants using nonlinear time-varying controllers

AU - Georgiou, Tryphon T.

AU - Pascoal, Antonio M.

AU - Khargonekar, Pramod P.

N1 - Funding Information: Acknowledgements--This research was supported in part by the National Science Foundation under Grant No. ECS-8451519, and in part by grants from Honeywell, 3M, E. F. Johnson and Sperry Corps.

PY - 1987/9

Y1 - 1987/9

N2 - We consider general families of linear time-invariant plants described by a nominal plant model with additive or multiplicative unstructured modeling uncertainty. We show that such families of plants are robustly (uniformly) stabilizable by nonlinear time-varying controllers, if and only if they are robustly stabilizable by linear time-invariant ones. Some auxiliary results on Hankel and L∞-norm approximation are also obtained.

AB - We consider general families of linear time-invariant plants described by a nominal plant model with additive or multiplicative unstructured modeling uncertainty. We show that such families of plants are robustly (uniformly) stabilizable by nonlinear time-varying controllers, if and only if they are robustly stabilizable by linear time-invariant ones. Some auxiliary results on Hankel and L∞-norm approximation are also obtained.

KW - Control system analysis

KW - feedback control

KW - frequency domain

KW - mathematical system theory

KW - nonlinear control systems

KW - robust control

KW - stability

KW - system order reduction

UR - http://www.scopus.com/inward/record.url?scp=0023415854&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023415854&partnerID=8YFLogxK

U2 - 10.1016/0005-1098(87)90057-4

DO - 10.1016/0005-1098(87)90057-4

M3 - Article

AN - SCOPUS:0023415854

SN - 0005-1098

VL - 23

SP - 617

EP - 624

JO - Automatica

JF - Automatica

IS - 5

ER -

On the robust stabilizability of uncertain linear time-invariant plants using nonlinear time-varying controllers

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this