Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation

Chapter 7Adaptive Neural Tracking Control for Uncertain Fractional-Order Chaotic Systems Subject to Input Saturation and Disturbance

7.1 Problem Statement

According to the Caputo definition of the fractional derivative (2.17), the following uncertain FOCS in the presence of input saturation and unknown external disturbance is described as follows:

7.1

where is the fractional order with , is the fractional derivative, are the state variables of the chaotic system, which are measurable, is the system output, is the desired control input, is the unknown time-varying disturbance, is the ...