H ∞ control for discrete-time systems with norm-bounded nonlinear uncertainties

Zhi Hong Peng; Zirxing Cai

H _∞ control for discrete-time systems with norm-bounded nonlinear uncertainties

Zhi Hong Peng^*
, Zirxing Cai

^*Corresponding author for this work

Central South University

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

Abstract

A class of uncertain state-space discrete-time systems with linear nominal parts and norm-bounded nonlinear uncertainties in both state and output equations have been discussed. By considering both uncertainties respectively and transforming into linear time-varying and norm-bounded uncertainties, a sufficient condition for robust control of such systems , which is equivalent to the solvability of robust control of auxiliary uncertainty free linear systems has been obtained, is solvable by linear Riccati equations.

Original language	English
Journal	Zhongnan Gongye Daxue Xuebao/Journal of Central South University of Technology
Volume	31
Issue number	4
Publication status	Published - 2000
Externally published	Yes

Keywords

Discrete-time systems
H control.
Nonlinear
Uncertainty

Cite this

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title = "H ∞ control for discrete-time systems with norm-bounded nonlinear uncertainties",

abstract = "A class of uncertain state-space discrete-time systems with linear nominal parts and norm-bounded nonlinear uncertainties in both state and output equations have been discussed. By considering both uncertainties respectively and transforming into linear time-varying and norm-bounded uncertainties, a sufficient condition for robust control of such systems , which is equivalent to the solvability of robust control of auxiliary uncertainty free linear systems has been obtained, is solvable by linear Riccati equations.",

keywords = "Discrete-time systems, H control., Nonlinear, Uncertainty",

author = "Peng, \{Zhi Hong\} and Zirxing Cai",

year = "2000",

language = "English",

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journal = "Zhongnan Gongye Daxue Xuebao/Journal of Central South University of Technology",

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T1 - H ∞ control for discrete-time systems with norm-bounded nonlinear uncertainties

AU - Peng, Zhi Hong

AU - Cai, Zirxing

PY - 2000

Y1 - 2000

N2 - A class of uncertain state-space discrete-time systems with linear nominal parts and norm-bounded nonlinear uncertainties in both state and output equations have been discussed. By considering both uncertainties respectively and transforming into linear time-varying and norm-bounded uncertainties, a sufficient condition for robust control of such systems , which is equivalent to the solvability of robust control of auxiliary uncertainty free linear systems has been obtained, is solvable by linear Riccati equations.

AB - A class of uncertain state-space discrete-time systems with linear nominal parts and norm-bounded nonlinear uncertainties in both state and output equations have been discussed. By considering both uncertainties respectively and transforming into linear time-varying and norm-bounded uncertainties, a sufficient condition for robust control of such systems , which is equivalent to the solvability of robust control of auxiliary uncertainty free linear systems has been obtained, is solvable by linear Riccati equations.

KW - Discrete-time systems

KW - H control.

KW - Nonlinear

KW - Uncertainty

UR - https://www.scopus.com/pages/publications/77949346570

M3 - Article

AN - SCOPUS:77949346570

SN - 1005-9792

VL - 31

JO - Zhongnan Gongye Daxue Xuebao/Journal of Central South University of Technology

JF - Zhongnan Gongye Daxue Xuebao/Journal of Central South University of Technology

IS - 4

ER -

H _∞ control for discrete-time systems with norm-bounded nonlinear uncertainties

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Keywords

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