Stabilization of Memristor-Based Chua's Oscillator via T-S Fuzzy Modeling and Three-Stage-Impulse Control

This paper develops a novel memristive Chua's oscillator by combining a cubic nonlinear memristor with a negative conductivity component. To approximate the nonlinear system with a linear representation and facilitate analysis and control, Takagi Sugeno (T-S) fuzzy rule modelling is utilised. A three-stage-impulse technique is used to construct the stability judgement condition of the system based on this model in order to stabilise the oscillator. This requirement assures that the system will remain stable with the suggested controller in place. The efficacy and viability of the strategy are confirmed by the results of the numerical simulation.