LMI based Adaptive Robust Control scheme for Reduced Order Synchronization (ROS) for a Class of Chaotic Systems

Bora, Riddhi Mohan; Sharma, Bharat Bhushan

doi:10.1016/j.ifacol.2022.04.042

Cited by 5 publications

(1 citation statement)

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“…One of the most important goals of controlling chaotic systems is to stabilize the balance points and stabilize the periodic circuits that exist in chaotic attractions [29][30][31]. Various control methods for synchronizing chaotic systems have been proposed in the literature, including fuzzy control [32][33][34], backstepping control [35,36], adaptive control [30,32,[37][38][39][40], sliding mode control [41,42], fractional order control [43,44], observer control methods [27,43,45] and pointed to the feedback linearization method [46,47]. In practical applications, system state variables are usually not available, so designing a observer based on estimating system state variables is mandatory.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of Chaotic Memristive System with Sinusoidal Colpitts Oscillator based on Adaptive Feedback Control Method

Setoudeh,

Chegini

2023

Preprint

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The synchronization of chaotic memristive systems with sinusoidal oscillators in order to achieve fully sinusoidal response can be included among the most important ongoing research topics in nonlinear sciences. In this paper, the purpose of controlling the chaotic oscillator based on memristive devices is to achieve sinusoidal response by synchronizing its response with the response of sinusoidal colpitts oscillator. For this purpose, sinusoidal synchronizations between two distinct dynamical systems with different order are investigated. Accordingly, we provided a sufficient condition in order to control the chaos in the memristive oscillator based on memcapacitor and meminductor, in order to achieve fully sinusoidal response with constant amplitude. For this purpose, an adaptive feedback controller is designed to synchronize the states of the master and slave oscillators. Numerical simulations are performed to verify the effectiveness of the proposed control scheme.

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