Fractional order memristor no equilibrium chaotic system with its adaptive sliding mode synchronization and genetically optimized fractional order PID synchronization. (English) Zbl 1367.93128
Summary: This paper introduces a Fractional Order Memristor No Equilibrium (FOMNE) chaotic system and investigates its adaptive sliding mode synchronization. Firstly, the dynamic properties of the integer order memristor no equilibrium system are analyzed. The fractional order memristor no equilibrium system is then derived from the integer order model. Lyapunov exponents and bifurcation with fractional order are investigated. An adaptive sliding mode control algorithm is derived to globally synchronize the identical fractional order memristor systems and genetically optimized fractional order PID controllers are designed and used to synchronize the FOMNE systems. Finally, the fractional order memristor no equilibrium system is realized using FPGA.
MSC:
| 93B12 | Variable structure systems |
| 34H10 | Chaos control for problems involving ordinary differential equations |
| 93C40 | Adaptive control/observation systems |
Keywords:
fractional order memristor no equilibrium (FOMNE) chaotic system; adaptive sliding mode synchronization; Lyapunov exponents; bifurcation with fractional orderReferences:
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