Takagi-Sugeno fuzzy receding horizon H-infinity chaotic synchronization and its application to the Lorenz system

Abstract

In this article, we propose a new H-infinity synchronization method for chaotic systems with external disturbance based on the Takagi-Sugeno (T-S) fuzzy model and receding horizon control. This synchronization method is called a Takagi-Sugeno fuzzy receding horizon H-infinity synchronization (TSFRHHS) method. A new set of matrix inequality conditions on the terminal weighting matrix is proposed for T-S fuzzy chaotic systems wherein non-increasing monotonicity of the optimal cost is guaranteed. Under this set of terminal inequality conditions, the proposed TSFRHHS method guarantees the infinite horizon H-infinity. performance for T-S fuzzy chaotic systems with external disturbance. As an application of the proposed synchronization method, the TSFRHHS problem for the Lorenz system is investigated. (C) 2013 Elsevier Ltd. All rights reserved.