A Model-Free Sliding Observer to the Synchronization Problem Using Geometric Techniques

Abstract

In this chapter, a sliding-mode observer is proposed for the synchronization problem. This observer presents a simple structure that contains a pure slidingmode term that turns out to be robust against output noises as well as sustained disturbances, while the slave system is a pure sliding-mode observer. Comparisons with two other model-based observers, the Thau observer and Bestle-Zeitz observer, are proposed. In this chapter, we use differential-geometric techniques. The performance of these observers is shown by the examples of the Lorenz system and Chua's circuit.