一般非线性离散时间系统的输出调节

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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

摘要: 本文用中心流形理论及动力系统方法,得到了一般非线性离散时间系统的输出调节问题可解性的充分必要条件。该工作推广了Isidori和Byrnes关于仿射非线性连续时间系统所得到的相应结论。
- 离散时间系统 /
- 输出调节 /
- 中心流形 /
- 指数稳定 /
- ω-极限集
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

[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

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