Disturbance rejection adaptive control design for multi-input chaotic systems

Author(s):  
A. H. Tahoun
2020 ◽  
Vol 1 (1) ◽  
pp. 1-5
Author(s):  
Shubhobrata Rudra ◽  
Ranjit kumar Barai ◽  
Madhubanti Maitra ◽  
Rupam Kumar Dewan ◽  
Paramita Mandal ◽  
...  

Backstepping is a realistic nonlinear control design algorithm based on Lyapunov design approach; therefore, it automatically ensures the convergence of the regulated variable to zero. In this paper, it has been proposed for robust synchronization of Duffing chaotic systems. Integral action is being used to enhance the control action of the controller in steady state against the disturbances. The salient feature of the design is that the derived control doesn’t contain any derivative terms; consequently it simplifies the controller realization. The effectiveness of the proposed controller has been demonstrated in simulation studies. The performance of the controller has been evaluated not only based on its synchronizing ability but also the disturbance rejection ability of the controller has been verified.


2009 ◽  
Vol 42 (2) ◽  
pp. 1156-1162 ◽  
Author(s):  
Jiang-Wen Xiao ◽  
Jiexuan Gao ◽  
Yuehua Huang ◽  
Yan-Wu Wang

Author(s):  
W Feng ◽  
I Postlethwaite

In robotics, despite considerable effort to minimize system modelling errors, uncertainties are always present and sometimes significant. In this paper, modelling errors are first represented by a class of bounded disturbances in the input channels (torques) of the robot. A measure of the robot system's ability to reject these disturbances is formulated in an L2 gain sense and a control design is subsequently proposed to achieve optimal disturbance rejection. If more detailed information is available on the plant-model mismatch, then the control design can be modified to incorporate an adaptive scheme (with explicit parameter updating laws) in order to reduce the conservativeness of the original design and to improve robust performance of the overall system.


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