Global Bilinearization and Reachability Analysis of Control-Affine Nonlinear Systems

2020 ◽  
pp. 81-98
Author(s):  
Debdipta Goswami ◽  
Derek A. Paley
Keyword(s):  
Nonlinear Systems ◽  
Reachability Analysis ◽  
Affine Nonlinear Systems

Approximate output regulation for affine nonlinear systems

2003 ◽  
Vol 12 (4) ◽  
pp. 424-431
Author(s):  
Yali Dong ◽  
Daizhan Cheng ◽  
Huashu Qin
Keyword(s):  
Nonlinear Systems ◽  
Output Regulation ◽  
Affine Nonlinear Systems

scholarly journals A Fuzzy Approach to Robust Control of Stochastic Nonaffine Nonlinear Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Ting-Ting Gang ◽  
Jun Yang ◽  
Qing Gao ◽  
Yu Zhao ◽  
Jianbin Qiu
Keyword(s):  
Nonlinear Systems ◽  
Robust Stabilization ◽  
Linear Matrix ◽  
Dynamic Feedback ◽  
Stabilization Problem ◽  
Fuzzy Models ◽  
Quadratic Lyapunov Functions ◽  
Affine Nonlinear Systems ◽  
Semiglobal Stabilization ◽  
Approximation Capability

This paper investigates the stabilization problem for a class of discrete-time stochastic non-affine nonlinear systems based on T-S fuzzy models. Based on the function approximation capability of a class of stochastic T-S fuzzy models, it is shown that the stabilization problem of a stochastic non-affine nonlinear system can be solved as a robust stabilization problem of the stochastic T-S fuzzy system with the approximation errors as the uncertainty term. By using a class of piecewise dynamic feedback fuzzy controllers and piecewise quadratic Lyapunov functions, robust semiglobal stabilization condition of the stochastic non-affine nonlinear systems is formulated in terms of linear matrix inequalities. A simulation example illustrating the effectiveness of the proposed approach is provided in the end.

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