scholarly journals Dynamic Control of Mobile Robot Using RBF Global Fast Sliding mode

2018 ◽  
Vol 7 (3) ◽  
pp. 159
Author(s):  
Ali Mallem ◽  
Noureddine Slimane ◽  
Walid Benaziza
Keyword(s):  
Mobile Robot ◽  
Control Strategy ◽  
Finite Time ◽  
Sliding Mode ◽  
Dynamic Control ◽  
Nonlinear Function ◽  
Lyapunov Theory ◽  
System Stability ◽  
Matlab Simulink ◽  
Angular Velocities

<p class="Abstract">This paper mainly In this paper a dynamic control of mobile robot using RBF global fast sliding mode (RBF-GFSM) strategy is presented. Firstly a GFSM controller is used in order to make the linear and angular velocities converge to references ones in finite time. However a problem of instability of velocities is appeared by introducing disturbances in the system. Secondly, a combined controller using RBF-GFSM approach is applied in aim to stabilize the velocities errors and estimates the nonlinear function of the robot model. The system stability is done using the lyapunov theory. The proposed controllers are dynamically simulated using Matlab/Simulink and the simulations results show the efficiency and robustness of the proposed control strategy.</p>

scholarly journals A Finite-Time Disturbance Observer Based Full-Order Terminal Sliding-Mode Controller for Manned Submersible with Disturbances

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Xing Fang ◽  
Fei Liu
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Disturbance Observer ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
System Stability ◽  
Sliding Mode Controller ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Manned Submersible

A novel full-order terminal sliding-mode controller (FOTSMC) based on the finite-time disturbance observer (FTDO) is proposed for the “JIAOLONG” manned submersible with lumped disturbances. First, a finite-time disturbance observer (FTDO) is developed to estimate the lumped disturbances including the external disturbances and model uncertainties. Second, a full-order terminal sliding-mode surface is designed for the manned submersible, whose sliding-mode motion behaves as full-order dynamics rather than reduced-order dynamics in conventional sliding-mode control systems. Then, a continuous sliding-mode control law is developed to avoid chattering phenomenon, as well as to drive the system outputs to the desired reference trajectory in finite time. Furthermore, the closed-loop system stability analysis is given by Lyapunov theory. Finally, the simulation results demonstrate the satisfactory tracking performance and excellent disturbance rejection capability of the proposed finite-time disturbance observer based full-order terminal sliding-mode control (FTDO-FOTSMC) method.

Sliding Mode Control in Finite Time Stabilization for Synchronization of Chaotic Systems

2013 ◽  
Vol 655-657 ◽  
pp. 1484-1487
Author(s):  
Jing Zhang
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
System Stability ◽  
Adaptive Sliding Mode Control ◽  
Mode Control ◽  
System Uncertainties ◽  
Simulation Results

An adaptive sliding mode control for chaotic systems synchronization is considered. The design of robust finite time convergent controller is based on geometric homogeneity and integral sliding mode manifold. The knowledge of the upper bound of the system uncertainties is not prior required. System stability is proven by Lyapunov theory. The simulation results show the effectiveness of the proposed method.

Performance Comparison of Standard Terminal Sliding Mode Control and Non-Singular Terminal Sliding Mode Control

2012 ◽  
Vol 588-589 ◽  
pp. 1654-1658
Author(s):  
Fei Yang ◽  
Wu Wang
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Nonlinear Function ◽  
Performance Comparison ◽  
Lyapunov Theory ◽  
Singular Problem ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control

Terminal sliding mode control (TSMC) was designed with introduction nonlinear function into sliding hyper-plane, which makes tracing error converge to zero in finite time. The standard TSMC (STSMC) control and non-singular TSMC (NTSMC) control was designed for an uncertain two-order nonlinear dynamic system, the sliding function and controller of STSMC control and NTSMC control are designed respectively, also the finite time of arrival was analyze. The stability was proved with Lyapunov theory, the performance comparison of STSMC and NTSMC was simulated with conclusions that STSMC control and NTSMC control are all feasible control for nonlinear system, STSMC control exist singular problem, but NTSMC control without singular problem, with sliding surface and control law with different parameters, the control characteristic can realized, which was suitable for special control system.

Finite-time disturbance observer–based funnel voltage control strategy for vehicle-to-grid inverter in islanded mode

2021 ◽  
pp. 095965182110173
Author(s):  
Yuchen Dai ◽  
Liyan Zhang ◽  
Guofu Liu ◽  
Dezhi Xu ◽  
Chengshun Yang
Keyword(s):  
Control Strategy ◽  
Finite Time ◽  
Disturbance Observer ◽  
Sliding Mode ◽  
Tracking Error ◽  
Voltage Control ◽  
Lyapunov Theory ◽  
Voltage Control Strategy ◽  
Power Sources ◽  
Vehicle To Grid

Based on vehicle-to-grid technology, electric vehicles can be used as power sources in the case of power failure. With the aim to reduce voltage overshoot and improve the anti-disturbance ability of the vehicle-to-grid inverter, a high-performance voltage control strategy based on funnel control and finite-time disturbance observer is developed. First, the dynamic model of the inverter in dq-frame is established, and the lumped disturbance including the unmodeled part is considered. Next, a novel funnel variable is proposed to ensure that the voltage tracking error can be stabilized within the prescribed funnel boundary, and thus enhance the transient performance. Then, a novel finite-time disturbance observer is designed to estimate the lumped disturbance in the system such as load fluctuations, and improve the anti-disturbance ability of the controller. Moreover, the second-order sliding mode differentiator is introduced to estimate the derivative of the virtual control law and eliminate the explosion of complexity problem in the derivation process. Finally, the finite-time stability of the proposed voltage control strategy is analyzed via the Lyapunov theory. The effectiveness of the proposed control strategy is verified by two cases.

scholarly journals Research on trajectory tracking control of manipulator based on modified terminal sliding mode with double power reaching law

2019 ◽  
Vol 16 (3) ◽  
pp. 172988141984789 ◽  
Author(s):  
Yan Xia ◽  
Wei Xie ◽  
Jiachen Ma
Keyword(s):  
Control Strategy ◽  
Finite Time ◽  
Sliding Mode ◽  
Practical Implementation ◽  
Sliding Surface ◽  
Initial State ◽  
Trajectory Tracking Control ◽  
Terminal Sliding Mode ◽  
Reaching Law ◽  
Terminal Sliding Surface

This article proposes a control strategy that combines the double power reaching law with the modified terminal sliding mode for tracking tasks of rigid robotic manipulators quickly and accurately. As a significant novelty, double power reaching law can reach the sliding surface in finite time when the system is in any initial state. At the same time, modified terminal sliding surface guarantees the system that position and velocity error converge to be zero approximately. In other words, the control law is able to make the system slip to the equilibrium point in a finite time and improves the speed of the system approaching and sliding modes. The simulation results demonstrate the practical implementation of the control strategy, verify its robustness of more accurate tracking and faster disturbance rejection, and weaken the chattering phenomenon more effectively compared with the conventional terminal sliding mode controller.

scholarly journals Discrete Sliding Mode Control Strategy for Start-Up and Steady-State of Boost Converter

Energies ◽  
2019 ◽  
Vol 12 (15) ◽  
pp. 2990
Author(s):  
Yang ◽  
Liao
Keyword(s):  
Steady State ◽  
Sliding Mode Control ◽  
Control Strategy ◽  
Sliding Mode ◽  
Boost Converter ◽  
Lyapunov Theory ◽  
Signal Model ◽  
Switching Surface ◽  
Mode Control ◽  
Start Up

Since the zero initial conditions of the boost converter are far from the target equilibrium point, the overshoot of the input current and the output voltage will cause energy loss during the start-up process when the converter adopts the commonly used small-signal model design control method. This paper presents a sliding mode control strategy that combines two switching surfaces. One switching surface based on the large-signal model is employed for the start-up to minimize inrush current and voltage overshoot. The stability of this strategy is verified by Lyapunov theory and simulation. Once the converter reaches the steady-state, the other switching surface with PI compensation of voltage error is employed to improve the robustness. The latter switching surface, which is adopted to regulate the voltage, can not only suppress the perturbation of input voltage and load, but also achieve a better dynamic process and a zero steady-state error. Furthermore, the discrete sliding mode controller is implemented by digital signal processor (DSP). Finally, the results of simulation, experiment and theoretical analysis are consistent.

A novel adaptive second-order nonsingular terminal sliding mode guidance law design

2020 ◽  
Vol 234 (16) ◽  
pp. 2263-2273
Author(s):  
Shuai Xu ◽  
Min Gao ◽  
Dan Fang ◽  
Yi Wang ◽  
Baochen Li
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Initial Conditions ◽  
Dynamic Control ◽  
Small Neighborhood ◽  
Lyapunov Stability Theory ◽  
Second Order ◽  
Terminal Sliding Mode ◽  
Guidance Law ◽  
Nonsingular Terminal Sliding Mode

Aiming at the problem of missile attacking ground target in pitch plane, combined with a composite fast nonsingular terminal sliding mode, a new adaptive finite-time stable guidance law with attack angle constraint is designed based on the second-order sliding mode control. The improved extended state observer is used to estimate the uncertainties and compensate the control quantity, and the dynamic control gains are designed to avoid the problem about “excessive estimation” of the parameter upper limit. According to the Lyapunov stability theory, it is proved that the system states can converge into a small neighborhood near the equilibrium point in a finite time. Monte Carlo simulation is carried out by randomly generating initial conditions, which proves that the guidance law has strong adaptability to different initial conditions and has good guidance precision.

scholarly journals Finite-Time Attitude Control for Quadrotor with Input Constraints and Disturbances

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Zijun Gao ◽  
Jin Wang ◽  
Yaping Tian
Keyword(s):  
Output Feedback ◽  
Finite Time ◽  
Attitude Control ◽  
Closed Loop ◽  
Sliding Mode ◽  
Auxiliary Variable ◽  
System Stability ◽  
Terminal Sliding Mode ◽  
Command Signals ◽  
Adverse Influence

This paper investigates the adaptive output feedback attitude control of a quadrotor. First, a nonsingular terminal sliding-mode variable and auxiliary variable are introduced into a closed-loop structure. Meanwhile, a fuzzy logic system is incorporated into an adaptive algorithm to compensate for the adverse influence caused by lumped disturbances including system uncertainty and external disturbances on the attitude adjustment performance of a quadrotor. Then, a novel finite-time output feedback controller equipped with the saturation suppression algorithm is designed. Rigorous proof shows that the design control strategy ensures the closed-loop system stability and guarantees the attitude of the spacecraft to track desired command signals in finite time. Simulation results are presented to illustrate the performance of the proposed control scheme.

A novel second-order sliding mode control based on the Lyapunov method

2018 ◽  
Vol 41 (4) ◽  
pp. 1068-1078 ◽  
Author(s):  
Lu Liu ◽  
Shihong Ding ◽  
Li Ma ◽  
Haibin Sun
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Disturbance Observer ◽  
Control Method ◽  
Sliding Mode ◽  
Second Order ◽  
Lyapunov Theory ◽  
Mode Control ◽  
Mismatched Disturbance ◽  
Second Order Sliding Mode

In this paper, a novel discontinuous second-order sliding mode control approach has been developed to handle sliding mode dynamics with a nonvanishing mismatched disturbance by using Lyapunov theory and a finite-time disturbance observer. Firstly, the finite-time disturbance observer is designed to estimate the nonvanishing mismatched disturbance. Secondly, a virtual controller has been constructed based on the estimated value such that the sliding variable can be stabilized to zero in a finite time. Then, the real discontinuous controller is designed to guarantee that the virtual controller can be well tracked in a finite time. Lyapunov analysis also verifies the finite-time stability of the closed-loop sliding mode control system. The developed discontinuous second-order sliding mode control method possesses two appealing features including strong robustness with respect to the matched and mismatched nonvanishing disturbances, and relaxation on the constant upper bound of uncertainties widely used in a conventional second-order sliding mode. Finally, an academic example is illustrated to verify the effectiveness of the proposed method.

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