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Unknown inputs’ adaptive observer for a class of chaotic systems with uncertainties. (English) Zbl 1187.93059
Summary: This paper treats the adaptive synchronization problem of a class of uncertain chaotic systems with uncertainties and unknown inputs in the drive-response framework. A robust adaptive sliding mode observer-based response system is designed to synchronize a given chaotic system without the knowledge of upper bounds of uncertainties and unknown inputs. Further, the unknown inputs can be approximately recovered directly by the concept of equivalent control signal. To highlight our method, we improve the robustness of ciphering in a secure communication system. Computer simulation is also given for the purpose of illustration and verification.
MSC:
93C40Adaptive control systems
93D20Asymptotic stability of control systems
37D45Strange attractors, chaotic dynamics
37N35Dynamical systems in control
93B07Observability
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