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Synchronizing chaotic systems with parametric uncertainty via a novel adaptive impulsive observer. (English) Zbl 1263.93043

Summary: This paper proposes a new class of observers, called adaptive impulsive observers. These observers are capable of estimating the states and unknown parameters of an uncertain system using the output of the system at discrete jump times only. Through a proposed theorem, the stability of the states estimation error system is proved and an upper bound on the maximum possible impulses (jumps) interval is given. Due to these advantages, the proposed adaptive impulsive observer is used in a chaotic systems synchronization scheme. The presented simulation results show the effectiveness of the proposed observer even when the coupling signal is scalar.

MSC:

93B07 Observability
93C40 Adaptive control/observation systems
93C41 Control/observation systems with incomplete information
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