Reliable H∞ control for affine nonlinear systems

Guang Hong Yang; James Lam; Jianliang Wang

doi:10.1109/9.704984

Reliable H_∞ control for affine nonlinear systems

Guang Hong Yang
, James Lam
, Jianliang Wang

Research output: Journal Publication › Article › peer-review

95 Citations (Scopus)

Abstract

This paper addresses the reliable H_∞-control problems for affine nonlinear systems. Based on the Hamilton-Jacobi inequality approach developed in the H_∞-control problems for affine nonlinear systems, a method for the design of reliable nonlinear control systems is presented. The resulting nonlinear control systems are reliable in that they provide guaranteed local asymptotic stability and H_∞ performance not only when all control components are operational, but also in the case of some component outages within a prespecified subset of control components. A numerical example is also given.

Original language	English
Pages (from-to)	1112-1117
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	43
Issue number	8
DOIs	https://doi.org/10.1109/9.704984
Publication status	Published - 1998
Externally published	Yes

Free Keywords

H control
Hamilton-Jacobi inequalities
Nonlinear systems
Reliable control

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/9.704984

Cite this

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abstract = "This paper addresses the reliable H∞-control problems for affine nonlinear systems. Based on the Hamilton-Jacobi inequality approach developed in the H∞-control problems for affine nonlinear systems, a method for the design of reliable nonlinear control systems is presented. The resulting nonlinear control systems are reliable in that they provide guaranteed local asymptotic stability and H∞ performance not only when all control components are operational, but also in the case of some component outages within a prespecified subset of control components. A numerical example is also given.",

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AB - This paper addresses the reliable H∞-control problems for affine nonlinear systems. Based on the Hamilton-Jacobi inequality approach developed in the H∞-control problems for affine nonlinear systems, a method for the design of reliable nonlinear control systems is presented. The resulting nonlinear control systems are reliable in that they provide guaranteed local asymptotic stability and H∞ performance not only when all control components are operational, but also in the case of some component outages within a prespecified subset of control components. A numerical example is also given.

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KW - Nonlinear systems

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