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|Title:||Finite-time continuous gain-scheduled control on stochastic hyperchaotic systems|
|Citation:||Proceedings of the Institution of Mechanical Engineers Part I-Journal of Systems and Control Engineering, 2010; 224(6):679-688|
|Publisher:||Professional Engineering Publishing|
|Y Y Yin, F Liu, and P Shi|
|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.|
|Keywords:||Markov jump; hyperchaotic systems; stochastic finite-time stabilization; continuous gain-scheduling; H∞ controller; linear matrix inequalities|
|Rights:||© Authors 2010|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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