Constrained stabilization problems for discrete-time linear plants

Ali Saberi; Jian Han; Antonie Arij Stoorvogel; Guoyong Shi

doi:10.1109/ACC.2001.946418

Constrained stabilization problems for discrete-time linear plants

Ali Saberi, Jian Han, Antonie Arij Stoorvogel, Guoyong Shi

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Abstract

In this paper we discuss discrete-time systems which have constraints on all or part of the inputs as well as on the states of the system. We show that solvability of stabilization problems is closely related to two important concepts: right-invertibility of the constraints and the constraint invariant zeros. In the case of right-invertible constraints we give constructive methods to determine suitable controllers.

Original language	English
Pages	3221-3226
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2001.946418
Publication status	Published - 2001
Event	2001 American Control Conference, ACC 2001 - Arlington, United States Duration: 25 Jun 2001 → 27 Jun 2001

Conference

Conference	2001 American Control Conference, ACC 2001
Abbreviated title	ACC
Country/Territory	United States
City	Arlington
Period	25/06/01 → 27/06/01

Keywords

IR-68910
EWI-16637

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10.1109/ACC.2001.946418

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title = "Constrained stabilization problems for discrete-time linear plants",

abstract = "In this paper we discuss discrete-time systems which have constraints on all or part of the inputs as well as on the states of the system. We show that solvability of stabilization problems is closely related to two important concepts: right-invertibility of the constraints and the constraint invariant zeros. In the case of right-invertible constraints we give constructive methods to determine suitable controllers.",

keywords = "IR-68910, EWI-16637",

author = "Ali Saberi and Jian Han and Stoorvogel, {Antonie Arij} and Guoyong Shi",

year = "2001",

doi = "10.1109/ACC.2001.946418",

language = "English",

pages = "3221--3226",

note = "2001 American Control Conference, ACC 2001, ACC ; Conference date: 25-06-2001 Through 27-06-2001",

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T1 - Constrained stabilization problems for discrete-time linear plants

AU - Saberi, Ali

AU - Han, Jian

AU - Stoorvogel, Antonie Arij

AU - Shi, Guoyong

PY - 2001

Y1 - 2001

N2 - In this paper we discuss discrete-time systems which have constraints on all or part of the inputs as well as on the states of the system. We show that solvability of stabilization problems is closely related to two important concepts: right-invertibility of the constraints and the constraint invariant zeros. In the case of right-invertible constraints we give constructive methods to determine suitable controllers.

AB - In this paper we discuss discrete-time systems which have constraints on all or part of the inputs as well as on the states of the system. We show that solvability of stabilization problems is closely related to two important concepts: right-invertibility of the constraints and the constraint invariant zeros. In the case of right-invertible constraints we give constructive methods to determine suitable controllers.

KW - IR-68910

KW - EWI-16637

U2 - 10.1109/ACC.2001.946418

DO - 10.1109/ACC.2001.946418

M3 - Paper

SP - 3221

EP - 3226

T2 - 2001 American Control Conference, ACC 2001

Y2 - 25 June 2001 through 27 June 2001

ER -

Constrained stabilization problems for discrete-time linear plants

Abstract

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Keywords

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