Output Regulation of the General Nonlinear Discrete-Time System

Li Tiecheng; Wang Zhaolin; Li Junfeng

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Li Tiecheng, Wang Zhaolin, Li Junfeng. Output Regulation of the General Nonlinear Discrete-Time System[J]. Applied Mathematics and Mechanics, 1999, 20(2): 187-191.

Citation:

Li Tiecheng, Wang Zhaolin, Li Junfeng. Output Regulation of the General Nonlinear Discrete-Time System[J]. Applied Mathematics and Mechanics, 1999, 20(2): 187-191.

Citation:

Li Tiecheng, Wang Zhaolin, Li Junfeng. Output Regulation of the General Nonlinear Discrete-Time System[J]. Applied Mathematics and Mechanics, 1999, 20(2): 187-191.

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Output Regulation of the General Nonlinear Discrete-Time System

1.
Department of Applied Mathematics, Tsinghua University, Beijing 100084, P R China;
2.
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P R China

Received Date: 1996-12-15
Rev Recd Date: 1998-09-21
Publish Date: 1999-02-15

Abstract

Abstract

With the use of centre manifold and dynamic system theory,the necessary and sufficient conditions are obtained for the solvabilities of the output regulator problems for the general nonlinear discrete-time system.This work generalizes and refines the corresponding results by Isidori and Byrnes on the affine nonlinear continuous-time system.
- discrete-time system,
- output regulation,
- centre manifold,
- exponential stability,
- X-limit set

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References(5)

References

[1]	Isidori A, Byrnes C I. Output regulation of nonlinear systems[J].IEEE Trans Automat Control,1990,35(2):131～140
[2]	Castillo B. Gennao S Di, Monaco S, Normand-Cyrot D. Nonlinear regulation for a class of discrete-time systmes[J].Systems & Control Letters, 1993,20(1):57～65
[3]	Carr J. Applications of the Center Manifold Theory[M].New York: Springer-Verlag,1981
[4]	Guckenheimer J, Holmes P J. Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields[M].New York:Springer-Verlag,1983
[5]	Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos[M].New York:Springer-Verlag,1990