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

2009 ◽  
Vol 132 (1) ◽  
Author(s):  
Dabo Xu ◽  
Jie Huang
Keyword(s):  
Nonlinear Systems ◽  
Lorenz System ◽  
Output Regulation ◽  
Feedback Systems ◽  
Asymptotic Tracking ◽  
Robust Output Regulation ◽  
Unknown Control ◽  
Unknown Control Direction ◽  
Control Direction ◽  
Output Regulation Problem

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.

Output Regulation for Output Feedback Systems With iISS Inverse Dynamics

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
Dabo Xu ◽  
Jie Huang
Keyword(s):  
Feedback Control ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Inverse Dynamics ◽  
Output Feedback Control ◽  
Output Regulation ◽  
Feedback Systems ◽  
Robust Output Regulation ◽  
Output Regulation Problem

This paper develops an approach to dealing with the global robust output regulation problem for a class of nonlinear systems with integral input-to-state stable (iISS) inverse dynamics by using output feedback control. As iISS condition is strictly weaker than the ISS condition, the result of this paper applies to a larger class of nonlinear systems.

Output regulation of output feedback systems with unknown exosystem and unknown high-frequency gain sign

2016 ◽  
Vol 40 (1) ◽  
pp. 171-178 ◽  
Author(s):  
Meichen Guo ◽  
Lu Liu
Keyword(s):  
Output Feedback ◽  
High Frequency ◽  
Adaptive Controller ◽  
Output Regulation ◽  
Design Approach ◽  
Feedback Systems ◽  
Unknown Parameters ◽  
Robust Output Regulation ◽  
Matching Design ◽  
Output Regulation Problem

This paper discusses the global robust output regulation problem for a class of nonlinear output feedback systems. It is assumed that the exosystem and the high-frequency gain sign are unknown and that the unknown parameters can be arbitrarily large. To solve this problem, two major challenges are to be overcome. First, the concurrence of the unknown exosystem and the unknown high-frequency gain sign cannot be handled merely by designing estimators for the two unknown parameters respectively. Second, the conventional extended matching design approach cannot be directly implemented, owing to the arbitrarily large unknown parameters. To cope with these difficulties, a new estimator is developed, and the extended matching design approach is modified to obtain a suitable update law for the estimator. The effectiveness of the proposed adaptive controller is illustrated by an example.

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