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 c09-math-002, c09-math-003 denotes a constant matrix, c09-math-004 is a state vector, and c09-math-005 is the nonlinear function vector.

The response system is defined as

where c09-math-007 is the state vector, c09-math-008 is the nonlinear function vector, c09-math-009 is the unknown bounded disturbance, and is the control input.

This chapter aims to develop ...

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