Robust stabilization for systems with parametric uncertainty and time delay

Vikram Kapila; Wassim M. Haddad

doi:10.1016/S0016-0032(98)00042-8

Robust stabilization for systems with parametric uncertainty and time delay

Vikram Kapila, Wassim M. Haddad

Mechanical and Aerospace Engineering

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

Abstract

In this paper we use the parameter-dependent Lyapunov function framework developed by Haddad and Bernstein to address the problem of robust stabilization for systems with parametric uncertainty and system delay. The principal result involves the construction of a modified Riccati equation for characterizing a memoryless (delay-independent) feedback controller that guarantees robust stability in the face of parametric uncertainty and time delay.

Original language	English (US)
Pages (from-to)	473-480
Number of pages	8
Journal	Journal of the Franklin Institute
Volume	336
Issue number	3
DOIs	https://doi.org/10.1016/S0016-0032(98)00042-8
State	Published - Apr 1999

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/S0016-0032(98)00042-8

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title = "Robust stabilization for systems with parametric uncertainty and time delay",

abstract = "In this paper we use the parameter-dependent Lyapunov function framework developed by Haddad and Bernstein to address the problem of robust stabilization for systems with parametric uncertainty and system delay. The principal result involves the construction of a modified Riccati equation for characterizing a memoryless (delay-independent) feedback controller that guarantees robust stability in the face of parametric uncertainty and time delay.",

author = "Vikram Kapila and Haddad, {Wassim M.}",

note = "Funding Information: * Corresponding author. Tel.: 001 718 260 3161; Fax: 001 718 260 3532; E-mail: [email protected] 1 Research supported in part by the National Science Foundation under Grant ECS-9496249 and the Air Force Office of Scienti{\TH}c Research under Grant F49620-96-1-0125.",

year = "1999",

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AU - Haddad, Wassim M.

N1 - Funding Information: * Corresponding author. Tel.: 001 718 260 3161; Fax: 001 718 260 3532; E-mail: [email protected] 1 Research supported in part by the National Science Foundation under Grant ECS-9496249 and the Air Force Office of ScientiÞc Research under Grant F49620-96-1-0125.

PY - 1999/4

Y1 - 1999/4

N2 - In this paper we use the parameter-dependent Lyapunov function framework developed by Haddad and Bernstein to address the problem of robust stabilization for systems with parametric uncertainty and system delay. The principal result involves the construction of a modified Riccati equation for characterizing a memoryless (delay-independent) feedback controller that guarantees robust stability in the face of parametric uncertainty and time delay.

AB - In this paper we use the parameter-dependent Lyapunov function framework developed by Haddad and Bernstein to address the problem of robust stabilization for systems with parametric uncertainty and system delay. The principal result involves the construction of a modified Riccati equation for characterizing a memoryless (delay-independent) feedback controller that guarantees robust stability in the face of parametric uncertainty and time delay.

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Robust stabilization for systems with parametric uncertainty and time delay

Abstract

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