ORIGINAL PAPER Two Novel Approaches of NTSMC and ANTSMC Synchronization for Smart Grid Chaotic Systems Ali Soltani Sharif Abadi 1 & Pooyan Alinaghi Hosseinabadi 2 & Saad Mekhilef 2 Received: 11 March 2018 /Accepted: 1 October 2018 /Published online: 28 October 2018 # Springer Nature Singapore Pte Ltd. 2018 Abstract The presence of uncertainties and external disturbances is one of the unavoidable problems with various practical systems which might be unavailable in real-time. Sliding Mode Control (SMC) is one of the effective robust control methods to deal with these uncertainties and external disturbances. In this paper, two novel controllers are designed by using Nonsingular Terminal SMC (NTSMC) and Adaptive Nonsingular Terminal SMC (ANTSMC) methods for synchronization of dual smart grid chaotic systems with various uncertainties and external disturbances. Indeed, both adaptive and non-adaptive control- lers based on NTSMC are proposed to provide two alternatives which can adjust by changing operating conditions and dynamics. The concept of SMC method guarantees controller robustness against various uncertainties and external distur- bances. Elimination of the undesirable chattering phenomenon is addressed in this study which is one of the common deficiencies with conventional SMC method. Additionally, finite time concept is used to speed up the convergence rate. Finite time stability proof is performed by using Lyapunov stability theory. The numerical simulation is carried out in Simulink/MATLAB to reveal the validity of the proposed controllers for the smart grid chaotic system. A comprehensive comparison is made by performing simulation for the Fractional Order Adaptive Sliding Mode Control (FOASMC) con- troller and defining three performance criteria, among the proposed controllers in this study and FOASMC controller. Keywords ANTSMC . NTSMC . Synchronization . Control . Smart grid Introduction The traditional power systems are based on centralized gen- eration with their large power plants located far from the power consuming loads [21]. Hence the control and central- ized operation of this large-scale system is very challenging and complicated task. Smart grids provide smarter opera- tion of conventional power grids by interconnecting the grids in a distributed and interactive manner for the well suitability of distributed multi-agent technologies to allevi- ate these challenges [24, 25]. Indeed, a smart grids is an electricity network which insists on various operational and energy measures including smart appliances, smart me- ters, renewable energy resources, and energy efficient re- sources. Smart grids improve efficiency, minimize cost and consumption of energy, and enhance the reliability and transparency of the energy supply by having a proper con- trol, monitoring, communication and analysis within the supply chain [10, 12, 30]. Recently, many efforts have been made to control these networks. In [24], a multi-agent based protection frame- work has been proposed to improve the transient stability of smart grids. In [17], a comprehensive review on the con- trol and communication techniques has been done for the smart grids where the energy efficiency of the smart grids * Ali Soltani Sharif Abadi a.soltanisharif@stu.yazd.ac.ir Pooyan Alinaghi Hosseinabadi pooyanalinaghi@siswa.um.edu.my Saad Mekhilef saad@um.edu.my 1 Department of Electrical Engineering, Faculty of Engineering, Yazd University, Yazd, Iran 2 Power Electronics and Renewable Energy Research Laboratory (PEARL), Department of Electrical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia Technology and Economics of Smart Grids and Sustainable Energy (2018) 3: 14 https://doi.org/10.1007/s40866-018-0050-0