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Discrete-Time twisting algorithm Implementation With Implicit-Euler ZOH Discretization Method

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 2022年第8期69卷 3435-3439页

作者： Xiong, Xiaogang Bai, Yang Shi, Ran Kamal, Shyam Wang, Yujie Lou, Yunjiang Harbin Inst Technol Shenzhen Sch Mech Engn & Automat Shenzhen 518055 Peoples R China Ritsumeikan Univ Coll Informat Sci & Engn Kusatsu 5258577 Japan Shenzhen Polytech Sch Mechatron Engn Shenzhen 518055 Peoples R China Indian Inst Technol Varanasi BHU Dept Elect Engn Varanasi 221005 Uttar Pradesh India Univ Illinois Dept Elect & Comp Engn Urbana IL 61801 USA

The significant numerical chattering hinders control applications of the twisting algorithm in digital environments. Previous implicit discrete-time implementation algorithms have the potential to attenuate the numerical chattering, but they require numerical solvers or do not consider the zero-order hold (ZOH) effect of Analog to Digital Converter (ADC) devices in digital control applications. This brief introduces an enhanced implementation algorithm for the famous twisting algorithm with the ZOH discretization method. It entails no numerical solvers and takes the ZOH effect into account, which enables control applications of the twisting algorithm in practice. The stability properties of the proposed realization algorithm are also analyzed with Lyapunov methods. Comparing to the previous implicit-Euler based implementation scheme for the twisting algorithm, the proposed one significantly attenuates the chattering in the presence of the ZOH effect without the requirement of any numerical solver.

关键词： Numerical stability Stability analysis Discrete-time systems Robustness Embedded systems Circuits and systems Sliding mode control twisting algorithm digital sliding mode control ZOH numerical chattering implicit Euler

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Euler's discretization effect on a twisting algorithm based sliding mode control

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AUTOMATICA 2016年 68卷 203-208页

作者： Yan, Yan Galias, Zbigniew Yu, Xinghuo Sun, Changyin Univ Shanghai Sci & Technol Control Sci & Engn Dept Shanghai Peoples R China AGH Univ Sci & Technol Dept Elect Engn PL-30059 Krakow Poland RMIT Univ Sch Engn Melbourne Vic 3001 Australia Southeast Univ Sch Automat Nanjing 210000 Jiangsu Peoples R China

In this paper, the Euler's discretization of the second order sliding mode control system with the twisting algorithm is studied. It shows that, for all values of discretization steps, initial conditions and allowable parameter setting, the system trajectories are always bounded. It also shows that for the uncertain systems, under a mild condition, the system trajectories are also bounded. Further, the periodic behaviors and limit cycles of the system trajectories are explored with conditions for the existence of periodic orbits formulated. Extensive simulation examples are given to show typical trajectories, and comparison between the first order and second order sliding mode control systems. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Sliding mode control twisting algorithm Periodic orbits Euler's discretization Stability

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Higher Order Sliding Mode Control for the Tracking Trajectory - the twisting algorithm Applied to the Vehicle Model

Higher Order Sliding Mode Control for the Tracking Trajector...

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International Conference on Advanced Material and Manufacturing Science (ICAMMS 2012)

作者： Diallo, Thierno Mamadou Pathe Li Hongsheng He Ninghui Wuhan Univ Technol Sch Mech & Elect Engn Wuhan Peoples R China

ISBN: (纸本)9783037859933

In this paper a higher order sliding mode control based on the twisting algorithm is studied. The aim is to prove the impact of the choice of sliding surface in the design of the control law. The simulation results shows, a proper selection of the sliding surface in the design of the control law can eliminate or reduce the phenomenon of reluctance. The phenomenon of reluctance or chattering is a major drawback significant in sliding mode control because, although it is possible to filter the output of the process, it is likely to excite high frequency modes that have not been included in the model of the system. This can degrade performance and even lead to instability. For the design of the control law of vehicle model, two sliding surfaces are integrated;the first show a good tracking in the simulation result with disadvantage of the chattering presence in the control law while the second provide a good performance without chattering.

关键词： Control Sliding mode twisting algorithm Vehicle

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Determination of the convergence domain of the twisting algorithm thanks to a switching gain approach 57

Determination of the convergence domain of the twisting algo...

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57th IEEE Conference on Decision and Control (CDC)

作者： Primot, Muriel Tahoumi, Elias Yan, Xinming Plestan, Franck Univ Nantes CNRS LS2N UMR 6004 Nantes France Technocentre Renault Guyancourt France Ecole Cent Nantes CNRS LS2N UMR 6004 Nantes France

ISBN: (纸本)9781538613955

The twisting algorithm is a well-known control law ensuring second order sliding mode establishment when applied to an uncertain nonlinear system. However, the convergence domain has not been nowadays formally determined. Thanks to an original approach that is based on the fact that the twisting control law can be viewed as a controller with switching gain, the domain of convergence of a closed-loop system controlled by the twisting algorithm is obtained. Simulations show the precision of the obtained result.

关键词： Sliding mode control twisting algorithm convergence domain

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Second order sliding mode observer based on twisting algorithm for induction motor

Second order sliding mode observer based on twisting algorit...

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16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA)

作者： Hammouda, Wajdi Ladhari, Taoufik M'sahli, Faouzi Univ Monastir Res Unit Ind Syst Study & Renewable Energy ESIER Natl Engn Sch Monastir Ave Ibn ElJazzar Monastir 5019 Tunisia

ISBN: (纸本)9781467392341

This work is devoted to the synthesis of an observer for induction motor. most control laws require a precise knowledge on model at each sampling time. However, the inaccessibility of some states and large variations of some parameters such as the stator and the rotor resistances, during induction motor operating, represent major challenges for performances of this system. In this sense, a second order sliding mode observer based on twisting algorithm is proposed for recovering induction machine internal states. This observer presents the interest of second order sliding mode in terms of convergence in finite time and robustness against parameters variation. Simulation results show performances of this observer.

关键词： Induction motor Second order sliding mode observer twisting algorithm

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Higher Order Sliding Mode Control for the Tracking Trajectory-the twisting algorithm Applied to the Vehicle Model-

Higher Order Sliding Mode Control for the Tracking Trajector...

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The 2012 International Conference on Advanced Material and Manufacturing Science(ICAMMS 2012)

作者： Diallo Thierno Mamadou Pathe Li Hongsheng band He Ninghui School of Mechanical and Electrical Engineering Wuhan University of Technology

In this paper a higher order sliding mode control based on the twisting algorithm is studiedThe aim is to prove the impact of the choice of sliding surface in the design of the control lawThe simulation results shows,a proper selection of the sliding surface in the design of the control law can eliminate or reduce the phenomenon of reluctanceThe phenomenon of reluctance or chattering is a major drawback significant in sliding mode control because,although it is possible to filter the output of the process,it is likely to excite high frequency modes that have not been included in the model of the systemThis can degrade performance and even lead to instabilityFor the design of the control law of vehicle model,two sliding surfaces are integrated;the first show a good tracking in the simulation result with disadvantage of the chattering presence in the control law while the second provide a good performance without chattering

关键词： Control Sliding mode twisting algorithm Vehicle

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twisting control algorithm for the yaw and pitch tracking of a twin rotor UAV

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INTERNATIONAL JOURNAL OF AUTOMATION AND CONTROL 2017年第2期11卷 143-163页

作者： Rakhtala, Seyed Mehdi Ahmadi, Mostafa Golestan Univ Dept Elect Engn Gorgan Iran Islamic Azad Univ Aliabad Katul Dept Elect Engn Ali Abad Katul Iran

In this paper, second order sliding mode controller is used to compensate the pitch and yaw angles of multivariable (MIMO) twin rotor system. Twin rotor has six state variables including yaw and pitch angles, yaw and pitch angular velocities, and armature currents. Considering the physical structure of twin rotor, the controller aims to track the mentioned angles and stabilise their angular velocities. Two sliding surfaces are defined as the sum of tracking error of yaw and pitch angles and their integrals. The controller performance is studied in the light of tracking accuracy and steady-state error, transient behaviour and response fluctuations level, consistency. The closed-loop system performance will also be studied in the light of disturbance effect rejection, presence of uncertainty in the model, and presence of estimated practical noise. The simulation is presented for first and second order sliding mode controllers and their advantages and disadvantages will be investigated.

关键词： twin rotor first and second sliding mode control twisting algorithm uncertainty practical noise

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Control of Chaotic Systems with Disturbances using LMI-based twisting-like algorithm 12

Control of Chaotic Systems with Disturbances using LMI-based...

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12th IEEE Conference on Industrial Electronics and Applications (ICIEA)

作者： Khamsuwan, Pitcha Kuntanapreeda, Suwat Sangpet, Teerawat King Mongkuts Univ Technol North Bangkok Dept Mech & Aerosp Engn Fac Engn Bangkok 10800 Thailand

ISBN: (纸本)9781509061617

This paper proposes a chaos control scheme for stabilizing chaotic systems in the presence of external disturbances. The scheme is based on a twisting-like algorithm, which consists of a state feedback control law and the twisting algorithm (TA). The TA is one of the promising high-order sliding-mode control algorithms. The Lyapunov direct method is utilized to derive a sufficient stability condition. The condition is formulated in a Linear Matrix Inequality (LMI) form and therefore is readily solved. The Lorenz system with an external disturbance is used as a demonstrative example. Numerical results illustrate the effectiveness of the proposed control scheme.

关键词： Chaos control Chaotic Lorenz systems twisting algorithm High sliding mode control External disturbance

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A Robust Control Method for Reliability Improvement of Cascade H-Bridge STATCOM Under DC-Link Capacitance Uncertainty

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INTERNATIONAL JOURNAL OF ENERGY RESEARCH 2025年第1期2025卷

作者： Azimi, Maede Asadi, Mehdi Arak Univ Technol Dept Elect Engn Arak Iran

This paper proposes a robust DC-link voltage controller designed for a multilevel-based static synchronous compensator (STATCOM), addressing both DC-link capacitance degradation and load variations. The uncertainty in DC-link capacitance is modeled as an external perturbation, leading to the development of a second-order sliding mode controller (SOSMC) based on a twisting algorithm. This controller effectively manages these uncertainties, providing high stability and robustness against parameter variations and external disturbances. Furthermore, it reduces unwanted chattering and enhances overall system performance. The impact of DC-link capacitance uncertainty on the reliability of multilevel converters is analyzed, comparing the proposed SOSMC with traditional proportional-integral (PI) controllers in the Simulink MATLAB environment. The results demonstrate that the SOSMC method outperforms the PI controller under 33% uncertainty in DC-link capacitance over 5 years. The proposed control scheme not only meets reactive power demands but also effectively manages uncertainties in DC-link capacitors. Additionally, the twisting algorithm maintains an acceptable total harmonic distortion (THD) index on the AC side, thereby improving overall reliability while reducing maintenance costs.

关键词： DC-link variation reliability sliding mode control STATCOM twisting algorithm uncertainty

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twisting Sliding Mode Control of an Electrostatic MEMS Micromirror for a Laser Scanning System

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IEEE/CAA Journal of Automatica Sinica 2019年第4期6卷 1060-1067页

作者： Hui Chen Zhendong Sun Weijie Sun John Tze Wei Yeow the School of Computer and Information Engineering Henan UniversityKaifeng 475000China the Key Laboratory of Systems and Control Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190 China the College of Automation Science and Engineering South China University of TechnologyGuangzhou 510641China the Systems Design Engineering University of WaterlooWaterloo N2L3G1Canada IEEE

In this paper,we present a twisting control scheme with proportional-integral-derivative(PID)sliding surface for a two-axis electrostatic torsional micromirror,and the utilization of the proposed scheme in a laser scanning *** experimental results of set-point regulation verify that the proposed scheme provides enhanced transient response and positioning performance as compared to traditional sliding mode *** evaluate the tracking performance of the closed-loop system,triangular waves with different frequencies are used as desired *** the proposed scheme the experimental results verified that the closed-loop controlled micromirror follows the given triangular trajectories precisely.A micromirror-based laser scanning system is developed to obtain *** compared with open-loop control,the experimental results demonstrated that the proposed scheme is able to reduce the distortion of the raster scan,and improve the imaging performance in the presence of cross-coupling effect.

关键词： Electrostatic micromirror imaging microelectromechanical system(MEMS) twisting algorithm

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