Extended Exploration Grey Wolf Optimization, CFOA-Based Circuit Implementation of the sigr Function and its Applications in Finite-Time Terminal Sliding Mode Control

Extended Exploration Grey Wolf Optimization, CFOA-Based Circuit Implementation of the sigr Function and its Applications in Finite-Time Terminal Sliding Mode Control

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The development of closed-loop circuit realizations of chaotic synchronization and control is considered a promising aspect of analog electronics.Therefore, this paper explores the use of the sigr function in the implementation of finite-time terminal sliding mode control.A CFOA-based implementation of the sigr function is proposed, whereby an Extended Exploration Grey Wolf Optimization method is used to approximate the non-integer powered transfer function inside the sigr function.

This configuration also allows for a parallel configuration in which each coefficient of the transfer function can be independently and elaborately tuned.Two closed-loop circuit enema-supplies realizations of second- and third-order systems are presented to demonstrate the effectiveness of the developed sigr function to achieve finite-time terminal sliding mode control.For the second-order system, the terminal sliding mode control is applied to stabilize the chaos in the Holmes-Duffing system in finite time, and for the third-order system, active stabilization of the modified Sprott-C chaotic system is presented.

The results show that finite-time control has been satisfactorily achieved in both cases, both in computer simulations Bile Acid and in circuit implementations.Specifically, the second-order closed-loop circuit implementation yielded a maximum error of 1.11%, while the third-order closed-loop circuit implementation had a maximum error of 2.

89%.