Finite-time continuous gain-scheduled control on stochastic hyperchaotic systems

Abstract

In the present paper, a finite-time continuous gain-scheduled control problem is studied for a class of stochastic Markov jump hyperchaotic systems with state delays. By means of the gradient linearization method, the non-linear jump system is constructed by a series of linear jump models at selected working states. Then, based on the stochastic Lyapunov—Krasovskii functional approach, a new robust stochastic finite-time stabilization criterion is established and the finite-time H∞ controller is formulated for each linear jump model in the form of linear matrix inequalities. Finally, for such stochastic non-linear hyperchaotic system, the continuous gain-scheduled method is adopted and continuous finite-time gain-scheduled H∞ controllers are designed. The simulation example shows the effectiveness of the proposed techniques.