An Introduction to the Theory of Exact Stochastic Feedback Linearization for Nonlinear Stochastic Systems

1996 ◽  
Vol 29 (1) ◽  
pp. 3904-3909
Author(s):  
T. Lahdhiri ◽  
A.T. Alouani
Keyword(s):  
Feedback Linearization ◽  
Stochastic Systems ◽  
Nonlinear Stochastic Systems

scholarly journals A Covariance Feedback Approach to Covariance Control of Nonlinear Stochastic Systems

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Salman Baroumand ◽  
Amir Reza Zaman ◽  
Mohammad Reza Mahmoudi
Keyword(s):  
Nonlinear Systems ◽  
Linear Approximation ◽  
Feedback Linearization ◽  
Control Algorithm ◽  
Stochastic Systems ◽  
Control Method ◽  
Nonlinear Case ◽  
Nonlinear Stochastic Systems ◽  
Covariance Control ◽  
Feedback Algorithm

In this paper, the covariance control algorithm for nonlinear stochastic systems using covariance feedback is studied. Covariance control of nonlinear systems scenario involves the theory of covariance control based on the idea of the covariance feedback. Therefore, the proposed covariance control algorithm is derived for our case, firstly by applying the covariance control method and linear approximation of nonlinear systems, and then it is achieved by adopting this method for a class of nonlinear stochastic systems by using feedback linearization idea and a covariance feedback controller. The effectiveness of the proposed covariance feedback algorithm is studied using numerous simulations concerning different nonlinear case studies.

Sign in / Sign up

Export Citation Format

Share Document