Page 645 - Mathematical Techniques of Fractional Order Systems

616 Mathematical Techniques of Fractional Order Systems

FIGURE 20.6 (Continued)

surface trajectory and the control signal uðtÞ as illustrated from Fig. 20.6D
and C respectively.

20.7 CONCLUSION

In this chapter a robust adaptive fuzzy control strategy using robust H N con-
trol and VSS-sliding mode theory is proposed to deal with chaos synchroni-
zation between two different uncertain fractional order chaotic systems. The
use of the fuzzy logic helps to minimize the added computational burden,
and hence renders the overall system to be more practically applicable. The
use of a saturation function with the sliding mode controller in order to
improve the control signal quality by eliminating the undesirable chattering
action in the control and surface signals. Based on the fractional Lyapunov
synthesis approach, free parameters of the adaptive fuzzy controller can be
tuned online by the output feedback control law and adaptive laws. The