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Technical Briefs

Output Regulation Design for a Class of Nonlinear Systems With an Unknown Control Direction

[+] Author and Article Information
Dabo Xu

Applied Control and Computing Laboratory, Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong, Chinadbxu@mae.cuhk.edu.hk

Jie Huang1

Applied Control and Computing Laboratory, Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong, Chinajhuang@mae.cuhk.edu.hk

1

Corresponding author.

J. Dyn. Sys., Meas., Control 132(1), 014503 (Dec 09, 2009) (6 pages) doi:10.1115/1.4000076 History: Received January 12, 2009; Revised July 30, 2009; Published December 09, 2009; Online December 09, 2009

This paper presents the solution of the global robust output regulation problem for a class of nonlinear systems without knowing the control direction. The class of the systems is larger than previously studied strict output feedback systems of relative degree equal to one. The result is also applied to an asymptotic tracking problem associated with the well-known Lorenz system.

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Figures

Grahic Jump Location
Figure 1

3D plot of Lorenz system

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Figure 2

Responses of e(t), k(t), and (x1(t),x2(t),x3(t)) when b=1

Grahic Jump Location
Figure 3

Responses of e(t), k(t), and (x1(t),x2(t),x3(t)) when b=−1

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