Robust control with a terminal state constraint

Andrey V. Savkin; Ian R. Petersen

doi:10.1016/0005-1098(96)00047-7

Robust control with a terminal state constraint

Andrey V. Savkin
, Ian R. Petersen^*

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

This paper introduces a problem of robust control with a terminal state constraint. This problem involves finding an output feedback controller to steer the initial state of a given system into an ellipsoidal bounding set in a specified time. The underlying system in this problem is a time-varying uncertain linear system in which the uncertainty satisfies an integral quadratic constraint. Necessary and sufficient conditions are given for the solution to this problem in terms of a pair of parameter-dependent Riccati differential equations.

Original language	English
Pages (from-to)	1001-1005
Number of pages	5
Journal	Automatica
Volume	32
Issue number	7
DOIs	https://doi.org/10.1016/0005-1098(96)00047-7
Publication status	Published - Jul 1996
Externally published	Yes

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title = "Robust control with a terminal state constraint",

abstract = "This paper introduces a problem of robust control with a terminal state constraint. This problem involves finding an output feedback controller to steer the initial state of a given system into an ellipsoidal bounding set in a specified time. The underlying system in this problem is a time-varying uncertain linear system in which the uncertainty satisfies an integral quadratic constraint. Necessary and sufficient conditions are given for the solution to this problem in terms of a pair of parameter-dependent Riccati differential equations.",

keywords = "Controllability, H control, Robust control, Terminal control, Time-varying systems, Uncertain linear systems",

author = "Savkin, \{Andrey V.\} and Petersen, \{Ian R.\}",

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AU - Petersen, Ian R.

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N2 - This paper introduces a problem of robust control with a terminal state constraint. This problem involves finding an output feedback controller to steer the initial state of a given system into an ellipsoidal bounding set in a specified time. The underlying system in this problem is a time-varying uncertain linear system in which the uncertainty satisfies an integral quadratic constraint. Necessary and sufficient conditions are given for the solution to this problem in terms of a pair of parameter-dependent Riccati differential equations.

AB - This paper introduces a problem of robust control with a terminal state constraint. This problem involves finding an output feedback controller to steer the initial state of a given system into an ellipsoidal bounding set in a specified time. The underlying system in this problem is a time-varying uncertain linear system in which the uncertainty satisfies an integral quadratic constraint. Necessary and sufficient conditions are given for the solution to this problem in terms of a pair of parameter-dependent Riccati differential equations.

KW - Controllability

KW - H control

KW - Robust control

KW - Terminal control

KW - Time-varying systems

KW - Uncertain linear systems

UR - https://www.scopus.com/pages/publications/0030192927

U2 - 10.1016/0005-1098(96)00047-7

DO - 10.1016/0005-1098(96)00047-7

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SN - 0005-1098

VL - 32

SP - 1001

EP - 1005

JO - Automatica

JF - Automatica

IS - 7

ER -

Robust control with a terminal state constraint

Abstract

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