@ARTICLE{Abadi_Ali_Soltani_Sharif_A_2020,
 author={Abadi, Ali Soltani Sharif and Hosseinabadi, Pooyan Alinaghi and Mekhilef, Saad and Ordys, Andrzej},
 volume={vol. 30},
 number={No 3},
 journal={Archives of Control Sciences},
 pages={599-620},
 howpublished={online},
 year={2020},
 publisher={Committee of Automatic Control and Robotics PAS},
 abstract={Many real-time systems can be described as cascade space-state models of different orders. In this paper, a new predefined controller is designed using a Strongly Predefined Time Sliding Mode Control (SPSMC) scheme for a cascade high-order nonlinear system. The proposed control scheme based-on SMC methodology is designed such that the system states reach zero within a determined time prior to performing numerical simulation. Moreover, Fixed Time Sliding Mode Control (FSMC) and Terminal Sliding Mode Control (TSMC) schemes are presented and simulated to provide a comparison with the proposed predefined time scheme. The numerical simulation is performed in Simulink/MATLAB for the proposed SPSMC and the other two existing methods on two examples: second and of third order to demonstrate the effectiveness of the proposed SPSMC method. The trajectory tracking of the ship course system is addressed as an example of a second-order system. Synchronization of two chaotic systems, Genesio Tesi and Coullet, is considered as an example of a third-order system. Also, by using two performance criteria, a thorough comparison is made between the proposed predefined time scheme, SPSMC, and the two no predefined time schemes, FSMC and TSMC.},
 type={Article},
 title={A new strongly predefined time sliding mode controller for a class of cascade high-order nonlinear systems},
 URL={http://journals.pan.pl/Content/117712/PDF/art09.pdf},
 doi={10.24425/acs.2020.134679},
 keywords={predefined time, stability, sliding mode, trajectory, synchronization},
}