Multivariable PD controller design for fast chaos synchronization of Lur'e systems

In this Letter, a strategy for fast master–slave synchronization is proposed for Lur'e systems under PD control based on the free-weighting matrix approach and the S-procedure. The purpose of the derivative action is to improve the closed-loop stability and speed synchronization response. The proposed strategy covers the existing result for the proportional control alone as a special case. This approach is illustrated by the Chua's chaotic circuit system.