Integral Non-Singular Terminal Sliding Mode Controller for nth-Order Nonlinear Systems

In this study, a new integral non-singular terminal sliding mode control method for nonlinear systems is introduced. The proposed controller is designed by defining a new sliding surface with an additional integral part. This new manifold is first introduced into the second-order system and then expanded to nth-order systems. The stability of the control system is demonstrated for both second-order and nth-order systems by using the Lyapunov stability theory. The proposed controller is applied to a robotic manipulator as a case study for second-order systems, and a servo-hydraulic system as a case study for third-order systems. The results are presented and discussed.

[1]  Yashar Shabbouei Hagh,et al.  Adaptive Extended Kalman Filter designing based on Non-singular Fast Terminal Sliding Mode control for robotic manipulators , 2017, 2017 IEEE International Conference on Mechatronics and Automation (ICMA).

[2]  Hua Zhou,et al.  Discrete-time sliding mode control with an input filter for an electro-hydraulic actuator , 2017 .

[3]  H. Yousefi,et al.  Application of Differential Evolution in System Identification of Servo-Hydraulic System With a Flexible Load , 2006 .

[4]  Amin Maghareh,et al.  Parametric identification of a servo-hydraulic actuator for real-time hybrid simulation , 2014 .

[5]  P. R. Ouyang,et al.  PD with sliding mode control for trajectory tracking of robotic system , 2014 .

[6]  Zeng Wang,et al.  Continuous finite‐time control for uncertain robot manipulators with integral sliding mode , 2018, IET Control Theory & Applications.

[7]  Kamal Youcef-Toumi,et al.  Terminal sliding mode control for the trajectory tracking of underactuated Autonomous Underwater Vehicles , 2017 .

[8]  Ligang Wu,et al.  Observer-Based Adaptive Sliding Mode Control of NPC Converters: An RBF Neural Network Approach , 2019, IEEE Transactions on Power Electronics.

[9]  Yashar Shabbouei Hagh,et al.  Robust control by adaptive Non-singular Terminal Sliding Mode , 2017, Eng. Appl. Artif. Intell..

[10]  Weidong Zhang,et al.  Adaptive non‐singular integral terminal sliding mode tracking control for autonomous underwater vehicles , 2017, IET Control Theory & Applications.

[11]  Heikki Handroos,et al.  Application of Fuzzy Gain-Scheduling in Position Control of a Servo Hydraulic System with a Flexible Load , 2007 .

[12]  Reza Mohammadi Asl,et al.  Optimal fractional order PID for a robotic manipulator using colliding bodies design , 2018, Soft Comput..

[13]  Vincent Cocquempot,et al.  A hybrid robust fault tolerant control based on adaptive joint unscented Kalman filter. , 2017, ISA transactions.

[14]  H. Yousefi,et al.  Application of Differential Evolution in system identification of a servo-hydraulic system with a flexible load , 2008 .

[15]  Hadi Delavari,et al.  Synchronization of fractional-order hyper-chaotic systems based on a new adaptive sliding mode control , 2017 .

[16]  Mohieddine Jelali,et al.  Hydraulic Servo-systems: Modelling, Identification and Control , 2012 .

[17]  He Chen,et al.  Neural Network-Based Adaptive Antiswing Control of an Underactuated Ship-Mounted Crane With Roll Motions and Input Dead Zones , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[18]  Zhihong Man,et al.  Non-singular terminal sliding mode control of rigid manipulators , 2002, Autom..

[19]  Yu Tang,et al.  Terminal sliding mode control for rigid robots , 1998, Autom..

[20]  Long Quan,et al.  Reduced-order model based active disturbance rejection control of hydraulic servo system with singular value perturbation theory. , 2017, ISA transactions.

[21]  Bhim Singh,et al.  Adaptive Sliding Mode Control of Standalone Single-Phase Microgrid Using Hydro, Wind, and Solar PV Array-Based Generation , 2018, IEEE Transactions on Smart Grid.

[22]  Cheng Guan,et al.  Adaptive sliding mode control of electro-hydraulic system with nonlinear unknown parameters , 2008 .

[23]  Saleh Mobayen,et al.  Adaptive Global Terminal Sliding Mode Control Scheme with Improved Dynamic Surface for Uncertain Nonlinear Systems , 2018, International Journal of Control, Automation and Systems.

[24]  Ning Sun,et al.  Adaptive Control for Pneumatic Artificial Muscle Systems With Parametric Uncertainties and Unidirectional Input Constraints , 2020, IEEE Transactions on Industrial Informatics.

[25]  Amir M. Sodagar,et al.  Combined PID and LQR controller using optimized fuzzy rules , 2019, Soft Comput..