A novel non-singular terminal sliding mode control combined with integral sliding surface for perturbed quadrotor

2021 ◽  
pp. 095965182110647
Author(s):  
Moussa Labbadi ◽  
Mohamed Djemai ◽  
Sahbi Boubaker
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Control Technique ◽  
Terminal Sliding Mode Control ◽  
Sliding Surface ◽  
Proportional Integral Derivative ◽  
Terminal Sliding Mode ◽  
Proportional Integral ◽  
Mode Control

In this article, a new dynamic non-singular terminal sliding mode control technique for a quadrotor system subjected to external disturbances is evaluated. The offered control approach is based on non-singular terminal sliding mode controller combined with proportional–integral–derivative sliding surface to improve the performance. The proposed controller is formulated using the Lyapunov theory which ensured the existence of the sliding mode surfaces in finite time. Furthermore, the chattering problem, caused by the switching position and attitude laws, has been reduced using the proposed controller. Moreover, a high-precision performance trajectory tracking can be obtained. The problem of the disturbances is addressed using the suggested controller. Simulation results show the feasibility and efficiency of the non-singular terminal sliding mode control-proportional–integral–derivative proposed approach.

Self-tuning fuzzy nonsingular proportional-integral-derivative type fast terminal sliding mode control for robotic manipulator in the presence of backlash hysteresis

2021 ◽  
pp. 014233122110133
Author(s):  
Zeeshan Anjum ◽  
Hui Zhou ◽  
Yu Guo
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Terminal Sliding Mode Control ◽  
Proportional Integral Derivative ◽  
External Disturbances ◽  
Terminal Sliding Mode ◽  
Proportional Integral ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Self Tuning

The external disturbances and backlash hysteresis kind of nonlinearity present in the manipulator system can greatly affect the tracking performance of the system. In order to undo the effects of these external disturbances and backlash hysteresis, a robust controller is established based on the integration of self-tuning fuzzy nonsingular proportional-integral-derivative (PID) type fast terminal sliding mode control and time delay estimation (TDE). In this paper, TDE plays the part of estimating the unknown dynamics of the robotic manipulator and nonsingular PID type fast terminal sliding mode control in which the gains of PID are tuned using fuzzy logic system to get multiple beneficial characteristics, such as lower steady-state error, finite-time convergence and little chattering. In addition, the derivative of unknown dynamics that is considered to be bounded is dealt by utilizing the adaptive technique. Moreover, Lyapunov theorem is used to study the overall stability of the system. Finally, a comparative study in terms of trajectory tracking has been carried out between the proposed controller and other existing advanced control approaches using PUMA560 robot in order to verify the effectiveness of the proposed controller in the presence of external disturbances and bacsklash hysteresis.

Adaptive nonsingular proportional–integral–derivative-type terminal sliding mode tracker based on rapid reaching law for nonlinear systems

2020 ◽  
pp. 107754632096428
Author(s):  
Ankur Goel ◽  
Saleh Mobayen
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Terminal Sliding Mode Control ◽  
Proportional Integral Derivative ◽  
Terminal Sliding Mode ◽  
Reaching Law ◽  
Proportional Integral ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Derivative Type

This article deals with a novel adaptive robust controller for uncertain nonlinear systems relying on a proportional–integral–derivative-type nonsingular fast terminal sliding mode control. In this nonsingular proportional–integral–derivative-type terminal sliding mode controller nonsingular fast terminal sliding mode control, the nonsingular fast terminal sliding mode control sliding surface is modified with integral to match with the proportional–integral–derivative-type structure to obtain the essential attributes, namely, quick transient response, finite-time convergence, negligible steady-state error, and chattering cancellation. Furthermore, a novel rapid reaching law is also suggested with dynamic proof for providing the robustness during transient phase. The controller stability and convergence is mathematically analyzed using the Lyapunov theory. The overall control structure is simulated on MATLAB® software and tested for trajectory tracking of a two-degree-of-freedom revolute–prismatic joint industrial robotic manipulator. The rigorous test results show the performance efficacy of the innovative controller.

Design of a non-singular fast terminal sliding mode control for second-order nonlinear systems with compound disturbance

2021 ◽  
pp. 095440622110329
Author(s):  
Mohammad Reza Salehi Kolahi ◽  
Mohammad Reza Gharib ◽  
Ali Heydari
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Path Tracking ◽  
Second Order ◽  
Control Technique ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Compound Disturbance

This paper investigates a new disturbance observer based non-singular fast terminal sliding mode control technique for the path tracking and stabilization of non-linear second-order systems with compound disturbance. The compound disturbance is comprised of both parametric and non-parametric uncertainties. While warranting fast convergence rate and robustness, it also dominates the singularity and complex-value number issues associated with conventional terminal sliding mode control. Furthermore, due to the estimation properties of the observer, knowledge about the bounds of the uncertainties is not required. The simulation results of two case studies, the velocity and path tracking of an autonomous underwater vehicle and the stabilization of a chaotic Φ6-Duffing oscillator, validate the efficacy of the proposed method.

scholarly journals Influence of Control Strategy in Risk Mitigation of Building Damage Due to Earthquake

2021 ◽  
Author(s):  
Normaisharah Mamat ◽  
Mohd Fauzi Othman ◽  
Mohd Fitri Mohd Yakub
Keyword(s):  
Sliding Mode Control ◽  
Control Strategy ◽  
Structural Integrity ◽  
Sliding Mode ◽  
Terminal Sliding Mode Control ◽  
Building Structures ◽  
Sliding Surface ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Nonsingular Terminal Sliding Mode

Abstract Building structures are prone to damage due to natural disasters, and this challenges structural engineers to design safer and more robust building structures. This study is conducted to prevent these consequences by implementing a control strategy that can enhance a building's stability and reduce the risk of damage. Therefore, to realize the structural integrity of a building, a hybrid control device is equipped with control strategies to enhance robustness. The control strategy proposed in this study is adaptive nonsingular terminal sliding mode control (ANTSMC). ANTSMC is an integrated controller of radial basis function neural network (RBFNN) and nonsingular terminal sliding mode control (NTSMC), which has a fast dynamic response, finite-time convergence, and the ability to enhance the control performance against a considerable uncertainty. The proposed controller is designed based on the sliding surface and the control law. The building with a two-degree-of-freedom (DOF) system is designed in Matlab/Simulink and validated with the experimental work connected to the LMSTest.Lab software. The performance of this controller is compared with those of the terminal sliding mode control (TSMC) and NTSMC in terms of the displacement response, sliding surface, and the probability of damage. The result showed that the proposed controller, ANTSMC can suppress vibrations up to 46%, and its percentage probability of complete damage is 15% from the uncontrolled structure. Thus, these findings are imperative towards increasing the safety level in building structures and occupants, and reducing damage costs in the event of a disaster.

Sliding mode observer-based fractional-order proportional–integral–derivative sliding mode control for electro-hydraulic servo systems

2020 ◽  
Vol 234 (10) ◽  
pp. 1887-1898 ◽  
Author(s):  
Cheng Cheng ◽  
Songyong Liu ◽  
Hongzhuang Wu
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Sliding Mode Observer ◽  
Proportional Integral Derivative ◽  
Servo Systems ◽  
Proportional Integral ◽  
Mode Control ◽  
Hydraulic Servo

This paper proposes an observer-based sliding mode control method for electro-hydraulic servo systems with uncertain nonlinearities, external disturbances, and immeasurable states. The mathematical model is built based on the principle of electro-hydraulic servo systems. Owing to its highly robustness and finite time properties, the sliding mode observer is chosen and designed to estimate the velocity and the equivalent pressure online only using the position feedback. Then, in order to tackle the chattering problem of conventional sliding mode control and increase the control accuracy, a novel second-order sliding mode control scheme is proposed based on the fractional-order proportional–integral–derivative sliding surface and the state observer. The stability of the overall system is proved by Lyapunov theory. Finally, the detailed simulations are conducted, which include the comparative analysis of control performance with other methods and the study of observation performance.

Non-singular terminal sliding mode control design for wheeled mobile manipulator

2017 ◽  
Vol 44 (4) ◽  
pp. 501-511 ◽  
Author(s):  
Moharam Habibnejad Korayem ◽  
Reza Shiri ◽  
Saeed Rafee Nekoo ◽  
Zohair Fazilati
Keyword(s):  
Sliding Mode Control ◽  
Mobile Robot ◽  
Sliding Mode ◽  
Center Of Mass ◽  
Terminal Sliding Mode Control ◽  
Sliding Surface ◽  
Terminal Sliding Mode ◽  
Content Type ◽  
Mode Control ◽  
Mobile Base

Purpose The purpose of this paper is to propose an indirect design for sliding surface as a function of position and velocity of each joint (for mounted manipulator on base) and center of mass of mobile base which includes rotation of wheels. The aim is to control the mobile base and its mounted arms using a unified sliding surface. Design/methodology/approach A new implementation of sliding mode control has been proposed for wheeled mobile manipulators, regulation and tracking cases. In the conventional sliding mode design, the position and velocity of each coordinate are often considered as the states in the sliding surface, and consequently, the input control is found based on them. A mobile robot consisted of non-holonomic constraints, makes the definition of the sliding surface more complex and it cannot simply include the coordinates of the system. Findings Formulism of both sliding mode control and non-singular terminal sliding mode control were presented and implemented on Scout robot. The simulations were validated with experimental studies, which led to satisfactory analysis. The non-singular terminal sliding mode control actually had a better performance, as it was illustrated that at time 10 s, the error for that was only 8.4 mm, where the error for conventional sliding mode control was 11.2 mm. Originality/value This work proposes sliding mode and non-singular terminal sliding mode control structure for wheeled mobile robot with a sliding surface including state variables: center of mass of base, wheels’ rotation and arm coordinates.

Second-order fast terminal sliding mode control design based on LMI for a class of non-linear uncertain systems and its application to chaotic systems

2016 ◽  
Vol 23 (18) ◽  
pp. 2912-2925 ◽  
Author(s):  
Saleh Mobayen ◽  
Dumitru Baleanu ◽  
Fairouz Tchier
Keyword(s):  
Sliding Mode Control ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Second Order ◽  
Control Technique ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Non Linear

In this paper, an linear matrix inequalities (LMI)-based second-order fast terminal sliding mode control technique is investigated for the tracking problem of a class of non-linear uncertain systems with matched and mismatched uncertainties. Using the offered approach, a robust chattering-free control scheme is presented to prove the presence of the switching around the sliding surface in the finite time. Based on the Lyapunov stability theorem, the LMI conditions are presented to make the state errors into predictable bounds and the parameters of the controller are obtained in the form of LMI. The control structure is independent of the order of the model. Then, the proposed method is fairly simple and there is no difficulty in the use of this scheme. Simulations on the well-known Genesio's chaotic system and Chua's circuit system are employed to emphasize the success of the suggested scheme. The simulation results on the Genesio's system demonstrate that the offered technique leads to the superior improvement on the control effort and tracking performance.

scholarly journals Adaptive Control of MEMS Gyroscope Based on Global Terminal Sliding Mode Controller

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Weifeng Yan ◽  
Juntao Fei
Keyword(s):  
Sliding Mode Control ◽  
Upper Bound ◽  
Sliding Mode ◽  
Tracking Error ◽  
Sliding Mode Controller ◽  
Terminal Sliding Mode Control ◽  
Sliding Surface ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Fast Terminal Sliding Mode

An adaptive global fast terminal sliding mode control (GFTSM) is proposed for tracking control of Micro-Electro-Mechanical Systems (MEMS) vibratory gyroscopes under unknown model uncertainties and external disturbances. To improve the convergence rate of reaching the sliding surface, a global fast terminal sliding surface is employed which can integrate the advantages of traditional sliding mode control and terminal sliding mode control. It can be guaranteed that sliding surface and equilibrium point can be reached in a shorter finite time from any initial state. In the presence of unknown upper bound of system nonlinearities, an adaptive global fast terminal sliding mode controller is derived to estimate this unknown upper bound. Simulation results demonstrate that the tracking error can be attenuated efficiently and robustness of the control system can be improved with the proposed adaptive global fast terminal sliding mode control.

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