A new strongly predefined time sliding mode controller for a class of cascade high-order nonlinear systems
Document Type
Article
Publication Date
1-1-2020
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.
Keywords
Predefined time, Stability, Sliding mode, Trajectory, Synchronization
Divisions
sch_ecs
Funders
National Agency of Academic Exchange (NAWA) [Grant No: PPN/PPO/2018/1/00063/U/00001]
Publication Title
Archives of Control Sciences
Volume
30
Issue
3
Publisher
Polska Akad Nauk, Polish Acad Sciences
Publisher Location
PL DEFILAD 1, WARSZAWA, 00-901, POLAND