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Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters. (English) Zbl 1243.93097
Summary: This study addresses the synchronization of chaotic gyros with unknown parameters and external disturbance via adaptive sliding mode control. To achieve synchronization, a switching surface is adopted such that it becomes easy to ensure the stability of the error dynamics in the sliding mode. Then an adaptive sliding mode controller (ASMC) is derived to guarantee the occurrence of the sliding motion even when the parameters of the drive and response gyros are fully unknown. Numerical simulations are presented to verify that the synchronization can be achieved by using this ASMC.
MSC:
93D15Stabilization of systems by feedback
70Q05Control of mechanical systems (general mechanics)
93C40Adaptive control systems
34H10Chaos control (ODE)
70K55Transition to stochasticity (chaotic behavior)