Utilization of fixed-time integral super twisting sliding mode controller for suppression of epileptic activity via stimulus current with DBS method

2021 ◽  
Vol 66 ◽  
pp. 102166
Author(s):  
Samira Rezvani-Ardakani ◽  
Sajad Mohammad-Ali-Nezhad ◽  
Reza Ghasemi
Keyword(s):  
Sliding Mode ◽  
Fixed Time ◽  
Epileptic Activity ◽  
Sliding Mode Controller ◽  
Time Integral ◽  
Stimulus Current

Robust fixed-time sliding mode controller for flexible air-breathing hypersonic vehicle

2019 ◽  
Vol 90 ◽  
pp. 1-18 ◽  
Author(s):  
Yibo Ding ◽  
Xiaogang Wang ◽  
Yuliang Bai ◽  
Naigang Cui
Keyword(s):  
Sliding Mode ◽  
Fixed Time ◽  
Hypersonic Vehicle ◽  
Sliding Mode Controller ◽  
Air Breathing

Implementation of integral fixed-time sliding mode controller for speed regulation of PMSM servo system

2020 ◽  
Vol 102 (1) ◽  
pp. 185-196
Author(s):  
Linan Wang ◽  
Haibo Du ◽  
Weijian Zhang ◽  
Di Wu ◽  
Wenwu Zhu
Keyword(s):  
Sliding Mode ◽  
Servo System ◽  
Fixed Time ◽  
Sliding Mode Controller ◽  
Speed Regulation

Robust Fixed-Time Integral Sliding Mode Control of a Nonlinear Hydraulic Turbine Regulating System

2020 ◽  
Vol 15 (3) ◽  
Author(s):  
Sunhua Huang ◽  
Jie Wang
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Hydraulic Turbine ◽  
Fixed Time ◽  
Convergence Time ◽  
Stable Operation ◽  
Phase System ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Time Integral

Abstract The hydraulic turbine regulating system (HTRS) plays an important role in the safe and stable operation of hydropower stations. In this paper, a fixed-time integral sliding mode controller (FTISMC) is designed to make the nonlinear HTRS with disturbances stable in a fixed time. The HTRS is a highly complex, strongly coupled, nonlinear nonminimum phase system, which can ensure the frequency and rotor angle of generator stability by adjusting the guide vane opening. In order to decouple the nonlinear HTRS, the input/output feedback linearization is applied to establish the relationship between the control input and the output of the HTRS. Based on sliding mode control (SMC) theory and fixed-time stability theory, FTISMC is proposed to stabilize the HTRS in a fixed time. Compared with the finite time control method (FTCM), the convergence time of nonlinear HTRS under FTISMC is independent of initial conditions and can be exactly estimated. Meanwhile, the integral sliding surface can avoid singularity, thus eliminating the chattering phenomenon. Finally, the numerical simulation is implemented to demonstrate the superior performances of the proposed FTISMC than the existing PID, SMC, and FTMC.

Fixed-time fractional-order sliding mode control for nonlinear power systems

2020 ◽  
Vol 26 (17-18) ◽  
pp. 1425-1434 ◽  
Author(s):  
Sunhua Huang ◽  
Jie Wang
Keyword(s):  
Sliding Mode Control ◽  
Power System ◽  
Fractional Order ◽  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Fixed Time ◽  
Sliding Mode Controller ◽  
Mode Control ◽  
Time Control

In this study, a fractional-order sliding mode controller is effectively proposed to stabilize a nonlinear power system in a fixed time. State trajectories of a nonlinear power system show nonlinear behaviors on the angle and frequency of the generator, phase angle, and magnitude of the load voltage, which would seriously affect the safe and stable operation of the power grid. Therefore, fractional calculus is applied to design a fractional-order sliding mode controller which can effectively suppress the inherent chattering phenomenon in sliding mode control to make the nonlinear power system converge to the equilibrium point in a fixed time based on the fixed-time stability theory. Compared with the finite-time control method, the convergence time of the proposed fixed-time fractional-order sliding mode controller is not dependent on the initial conditions and can be exactly evaluated, thus overcoming the shortcomings of the finite-time control method. Finally, superior performances of the fractional-order sliding mode controller are effectively verified by comparing with the existing finite-time control methods and integral order sliding mode control through numerical simulations.

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