A Generic Internal Model for Robust Output Regulation Problem for Plants subject to an Uncertain Exosystem*

2019 ◽  
Author(s):  
Dabo Xu ◽  
Jie Huang
Keyword(s):  
Internal Model ◽  
Output Regulation ◽  
Robust Output Regulation ◽  
Output Regulation Problem

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.

Semi-global robust output regulation of minimum-phase nonlinear systems based on high-gain nonlinear internal model

2010 ◽  
Vol 83 (5) ◽  
pp. 1009-1024 ◽  
Author(s):  
Xile Wei ◽  
Meili Lu ◽  
Jiang Wang ◽  
K.M. Tsang ◽  
Bin Deng ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Internal Model ◽  
High Gain ◽  
Output Regulation ◽  
Minimum Phase ◽  
Robust Output Regulation

scholarly journals Preview Tracking Control for Discrete-Time Multirate Systems: An Internal Model-Based Approach

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1443
Author(s):  
Yuedou Pan ◽  
Mengtong Pei ◽  
Li Li ◽  
Yanrong Lu
Keyword(s):  
Discrete Time ◽  
Internal Model ◽  
Sufficient Conditions ◽  
Output Regulation ◽  
The State ◽  
Tracking Problem ◽  
Rate System ◽  
Multirate Systems ◽  
External Signals ◽  
Output Regulation Problem

This paper investigates the preview tracking problem for discrete-time multirate systems under the scenario of the external signals with amplitude non-attenuation. Since the input and the state cannot be measured at the same time, the multirate system is first lifted into the single-rate system. Noting that the external signals are previewable and their amplitudes are unattenuated, an auxiliary system with preview information and a dynamic compensator with internal model are introduced, respectively. On this basis, the preview tracking problem can be converted to the output regulation problem of an augmented system with the aid of the state augmentation technique. Through verifying the solvability of the output regulation problem, the sufficient conditions and the corresponding controller with preview action and feedforward compensation are presented for the output regulation problem as well as the original problem. Finally, a numeric simulation result is provided to verify the validity of the proposed method.

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