Chapter 9Sliding-Mode Synchronization Control for Fractional-Order Chaotic Systems with Disturbance
9.1 Problem Statement
On the basis of the Caputo definition of the fractional derivative (2.17), the FOCS will be introduced. Considering the following FOCS as the drive system:
where the fractional order satisfies , denotes a constant matrix, is a state vector, and is the nonlinear function vector.
The response system is defined as
where is the state vector, is the nonlinear function vector, is the unknown bounded disturbance, and is the control input.
This chapter aims to develop ...
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