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Many chaotic systems with hidden attractors were investigated by Jafari et al. [48 53].
In fact, for many chaotic systems, all neighbouring trajectories within the bundle of states diverge exponentially fast.
Since using many chaotic systems do not have a uniform distribution.
This assumption is usually applicable to many chaotic systems, such as the Henon map, logistic and many other nonlinear maps.
Remark 1 It is found that many chaotic systems can maintain chaotic behavior when a system parameter continuously changes in a certain range.
In many chaotic systems, disability to measure all of the states is a usual limitation, like in some economical, biological and many other engineering systems.
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This proposed method is important because it can be applied to many other chaotic systems.
Note that many chaotic and hyper-chaotic systems, such as Lorenz system, Chen system, Lü system, Rössler system, hyper-chaotic Chen system, etc, could be described by system (1).
Remark 1 Many fractional-order chaotic systems belong to the class individualized by (3.3).
Investigating many well-known chaotic systems, it is obvious that nonlinear terms have a single common variable or they depend only on one variable.
In the following, we will show how to represent many well-known chaotic systems by the IT2 T S fuzzy model.
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