• Nguazon Tekou
• Nana Bonaventure
• Tchitnga Robert
• Fomethe Anaclet

In this paper, we extend the sliding mode idea to a class of third order Jerk system derived from a single Op-Amp-based jerk circuit. This method is achieved by the introduction of a single first order sliding equation. First, we have overcome the generally observed chattering phenomenon that occurs when the sliding mode control (SMC) method is applied to analyze the stability of coupled chaotic systems. Instead of an asymptotic convergence of the sliding equation corresponding to the SMC technique, we obtain rather a finite-time convergence and a linear sliding surface which is easy to implement experimentally. Applying the terminal sliding mode (TSM) method on the sliding equation leads directly to a convergence with fast terminal sliding mode (FTSM) method properties. Finally, several numerical simulation results have shown satisfactory control performances confirmed by PSpice simulations.

Jerk circuit, chattering, synchronization, sliding mode, finite-time, control

"Simple finite-time sliding mode control approach for Jerk circuits : application on the synchronization of single Op-Amp-based Jerk circuits with PSpice verification", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 11, page no.285-303, November-2018, Available :http://www.jetir.org/papers/JETIR1811942.pdf

"Simple finite-time sliding mode control approach for Jerk circuits : application on the synchronization of single Op-Amp-based Jerk circuits with PSpice verification", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 11, page no. pp285-303, November-2018, Available at : http://www.jetir.org/papers/JETIR1811942.pdf