Some Fundamental Control Theory II: Feedback Linearization of Single Input Nonlinear Systems

1999 ◽  
Vol 106 (9) ◽  
pp. 812 ◽  
Author(s):  
William J. Terrell
Keyword(s):  
Nonlinear Systems ◽  
Control Theory ◽  
Feedback Linearization ◽  
Single Input

scholarly journals Robustness analysis of nonlinear systems subject to state feedback linearization

2009 ◽  
Vol 20 (4) ◽  
pp. 482-489 ◽  
Author(s):  
Eduardo Rath Rohr ◽  
Luís Fernando Alves Pereira ◽  
Daniel Ferreira Coutinho
Keyword(s):  
Nonlinear Systems ◽  
Feedback Linearization ◽  
State Feedback ◽  
Robustness Analysis ◽  
Linear Matrix ◽  
Single Input Single Output ◽  
Single Output ◽  
Robust Stability Analysis ◽  
Single Input ◽  
The Stability

This paper presents a methodology to the robust stability analysis of a class of single-input/single-output nonlinear systems subject to state feedback linearization. The proposed approach allows the analysis of systems whose nonlinearities can be represented in the rational (and polynomial) form. Through a suitable system representation, the stability conditions are described in terms of linear matrix inequalities, which is known to have a convex (numerical) solution. The method is illustrated via a numerical example.

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