scholarly journals Robust control of HIV infection by antiretroviral therapy: a super‐twisting sliding mode control approach

2019 ◽  
Vol 13 (3) ◽  
pp. 120-128 ◽  
Author(s):  
Manas Kumar Bera ◽  
Pintu Kumar ◽  
Raj Kumar Biswas
2018 ◽  
Vol 8 (1) ◽  
pp. 142-153
Author(s):  
Vu Trieu Minh ◽  
Mart Tamre ◽  
Even Sekhri

AbstractThis paper proposes the mathematical modeling and robust control algorithms for linear belt system with the help of sliding mode control approach. Due to the elasticity of the belt, the presence of frictions, and the un-modeled dynamics, conventional controllers cannot provide precise position control of carriage. Dealing with this kind of system, a robust controller is needed and the chattering-free sliding mode control (SMC) approach is used to design the robust controller. A belt stretching estimator is also incorporated into the control law. Simulations show that the system is free from chattering and robust to disturbances. The reference tracking position is performed with the minimal errors to an extent that can be considered negligible. The time for reaching the reference tracking position is very fast. The system is safe for all mechanical and electrical devices.


Author(s):  
D W Qian ◽  
X J Liu ◽  
J Q Yi

Based on the sliding mode control methodology, this paper presents a robust control strategy for underactuated systems with mismatched uncertainties. The system consists of a nominal system and the mismatched uncertainties. Since the nominal system can be considered to be made up of several subsystems, a hierarchical structure for the sliding surfaces is designed. This is achieved by taking the sliding surface of one of the subsystems as the first-layer sliding surface and using this sliding surface and the sliding surface of another subsystem to construct the second-layer sliding surface. This process continues till the sliding surfaces of all the subsystems are included. A lumped sliding mode compensator is designed at the last-layer sliding surface. The asymptotic stability of all of the layer sliding surfaces and the sliding surface of each subsystem is proven. Simulation results show the validity of this robust control method through stabilization control of a system consisting of two inverted pendulums and mismatched uncertainties.


2018 ◽  
Vol 10 (9) ◽  
pp. 168781401879574 ◽  
Author(s):  
Wei Yuan ◽  
Guoqin Gao

The trajectory-tracking performance of the automobile electro-coating conveying mechanism is severely interrupted by highly nonlinear crossing couplings, unmodeled dynamics, parameter variation, friction, and unknown external disturbance. In this article, a sliding mode control with a nonlinear disturbance observer is proposed for high-accuracy motion control of the conveying mechanism. The nonlinear disturbance observer is designed to estimate not only the internal/external disturbance but also the model uncertainties. Based on the output of the nonlinear disturbance observer, a sliding mode control approach is designed for the hybrid series–parallel mechanism. Then, the stability of the closed-loop system is proved by means of a Lyapunov analysis. Finally, simulations with typical desired trajectory are presented to demonstrate the high performance of the proposed composite control scheme.


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