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

Zhumu Fu, Leipo Liu, Xiaohong Wang
2014 Journal of Control Science and Engineering  
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,
more » ... ty (LMI). Finally, a simulation example is presented to show the validity and advantage of the proposed method.
doi:10.1155/2014/390151 fatcat:33nujy2zcjepriz75kpkuteapa