Affiliations: [a] School of Humanities and Economic Management, China University of Geoscience, Beijing, China
| [b] Key Laboratory of Carrying Capacity Assessment for Resource and Environment, Ministry of Land and Resources, Beijing, China
| [c] College of Automotive Engineering, Dezhou University, Dezhou, China
Correspondence:
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Corresponding author. Long Zhang, School of Humanities and Economic Management, China University of Geosciences, Beijing, China. E-mail: zhanglongdragon@hotmail.com.
Abstract: This paper presents a novel indirect type-2 fuzzy sliding mode (T2FSM) control approach for fractional order chaotic systems. In this paper both switching control term and the equivalent control term are estimated in comparison with the current fuzzy sliding mode control system designs, where the control law of sliding mode is directly replaced by a fuzzy term controller. The consequent adaptive T2FSM parameters are adjusted online to synchronize two fractional order systems with uncertainty. As a result, the chattering phenomenon is weakened and the error is also lessened, while the controller robustness against system uncertainties and unknown disturbances is improved. The designed approach has achieved the following advantages. Firstly, by applying the Lyapunov design method and interval T2FSM method to achieve the control law. This proposed approach makes a good performance for the overall system. Another advantage of the proposed design is to relax the requirement for the limit of approximation error and an estimation method is also employed to observe the bound of it real time. Simulation results confirm the perfect method in the existence of a disturbance with uncertainty.
