Control of a Class of Uncertain Chaotic Systems with Stochastic Disturbances via a Sliding Mode Approach

2018 ◽  
Author(s):  
Khosro Khandani
Keyword(s):  
Chaotic Systems ◽  
Sliding Mode ◽  
Stochastic Disturbances ◽  
Uncertain Chaotic Systems

scholarly journals Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Zhumu Fu ◽  
Leipo Liu ◽  
Xiaohong Wang
Keyword(s):  
State Feedback ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
State Feedback Control ◽  
Control Technique ◽  
Linear Matrix ◽  
Stochastic Disturbances ◽  
Uncertain Chaotic Systems ◽  
The Mean ◽  
Sliding Mode Dynamics

This paper is concerned with the stabilization problem of uncertain chaotic systems with stochastic disturbances. A novel sliding function is designed, and then a sliding mode controller is established such that the trajectory of the system converges to the sliding surface in a finite time. Using a virtual state feedback control technique, sufficient condition for the mean square asymptotic stability and passivity of sliding mode dynamics is derived via linear matrix inequality (LMI). Finally, a simulation example is presented to show the validity and advantage of the proposed method.

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