Control of the Lorenz chaos by the exact linearization

1998 ◽  
Vol 19 (1) ◽  
pp. 67-73 ◽  
Author(s):  
Chen Liqun ◽  
Liu Yanzhu
Keyword(s):  
2008 ◽  
Vol 18 (7-8) ◽  
pp. 663-675 ◽  
Author(s):  
Marc-André Beyer ◽  
Wolfgang Grote ◽  
Gunter Reinig

Author(s):  
Yan Liu ◽  
Dirk So¨ffker

This paper introduces a robust nonlinear control method combining classical feedback linearization and a high-gain PI-Observer (Proportional-Integral Observer) approach that can be applied to control a nonlinear single-input system with uncertainties or unknown effects. It is known that the lack of robustness of the feedback linearization approach limits its practical applications. The presented approach improves the robustness properties and extends the application area of the feedback linearization control. The approach is developed analytically and fully illustrated. An example which uses input-state linearization and PI-Observer design is given to illustrate the idea and to demonstrate the advantages.


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