Robust adaptive state feedback sliding-mode control of memristor-based Chua's systems with input nonlinearity

This paper deals with the state feedback stabilization of a class of uncertain memristor-based Chua's circuit systems. By the combination of the characteristics of the memristor, the system model of the uncertain memristive Chua's circuit with input nonlinearity is built. Under the assumption that the gain reduction parameter of the input nonlinearity is unknown a prior, the robust adaptive sliding-mode control (SMC) schemes are proposed to ensure that the system trajectory of the uncertain memristive Chua's circuit can be driven into the sliding surface and subsequently sliding into the origin. Finally, the effectiveness of the proposed method is verified via simulation.