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super-twisting second-order sliding mode control for a synchronous reluctance motor

ARTIFICIAL LIFE AND ROBOTICS 2011年第3期16卷 307-310页

作者： Chiang, Huann-Keng Lin, Wen-Bin Chang, Yi-Chang Fang, Chun-Chiang Natl Yunlin Univ Sci & Technol Dept Elect Engn Touliu 640 Yunlin Taiwan Natl Yunlin Univ Sci & Technol Grad Sch Engn Sci & Technol Touliu Yunlin Taiwan

This article presents the design and implementation of a super-twisting second-order sliding-mode controller (SOSMC) for a synchronous reluctance motor. Second-order sliding-mode control is an effective tool for the control of uncertain nonlinear systems since it overcomes the main drawbacks of the classical sliding-mode control, i.e., the large control effort and the chattering phenomenon. Its real implementation implies simple control laws, and ensures an improvement in the sliding accuracy with respect to conventional sliding-mode control. This article proposes a novel scheme that is based on the technique of super-twisting second-order sliding-mode control. First, SOSMC is derived mathematically, and then the performance of the proposed method is verified by simulations. The proposed SOSMC shows robustness for variations in the motor parameters and an improvement in the chattering phenomenon.

关键词： super-twisting algorithm Second-order sliding modes Synchronous reluctance motor Chattering phenomenon

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Torque controller of a doubly-fed induction generator impelled by a DC motor for wind system applications

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IET RENEWABLE POWER GENERATION 2014年第5期8卷 484-497页

作者： Morfin, Onofre A. Ruiz-Cruz, Riemann Loukianov, Alexander G. Sanchez, Edgar N. Castellanos, M. I. Valenzuela, Fredy A. Autonomous Univ Juarez City Ciudad Juarez Chihuahua Mexico IPN Ctr Res & Adv Studies Zapopan Jalisco Mexico Autonomous Juarez Univ Tabasco Cunduacan Tabasco Mexico

The authors propose robust non-linear controllers for a wind system. The proposed controllers are based on a combination of the block control linearisation and super-twisting algorithm, as a second-order sliding mode technique. The main control loop is designed to regulate the electromagnetic torque and stator power factor of a doubly-fed induction generator which is connected to the grid. The generator is mechanically coupled with a DC motor, which can emulate the wind turbine operation. Therefore, an auxiliary control loop is designed to control the DC motor velocity. Additionally, a grid-side converter controller is proposed to regulate the DC-link voltage into AC/DC/AC converter, and displacement factor of the energy flow between the rotor and the grid. A robust stability analysis of the complete closed-loop system under external disturbances is presented. The robustness of the proposed control schemes is validated in real time using a workbench, which consists of a motor-generator group, AC/DC/AC electronic drive and dSPACE DS 1104 controller boards.

关键词： AC-DC power convertors angular velocity control asynchronous generators control system synthesis DC-AC power convertors DC motor drives electric current control linearisation techniques load flow control nonlinear control systems power control power generation control power generation faults power grids power system stability robust control torque control variable structure systems voltage control wind power plants wind turbines torque controller doubly-fed induction generator DC motor velocity control wind system application robust nonlinear controller block control linearisation super-twisting algorithm second-order sliding mode technique electromagnetic torque regulation stator power factor regulation wind turbine operation auxiliary control loop system design grid-side converter controller DC-link voltage regulation AC-DC-AC converter energy flow displacement factor rotor robust stability analysis power system disturbance motor-generator group AC-DC-AC electronic drive dSPACE DS 1104 controller board

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Robust Stabilization of Inverted Pendulum Using ALQR Augmented by Second-Order Sliding Mode Control

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JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS 2017年第5期28卷 577-584页

作者： Guaracy, Fernando H. D. Pereira, Renan L. de Paula, Caio F. Univ Fed Itajuba UNIFEI Campus ItabiraRua Irma Ivone Drumond 200 BR-35903087 Itabira MG Brazil Univ Fed Itajuba UNIFEI Inst Syst Engn & Informat Technol Av BPS 1303 BR-37500903 Itajuba MG Brazil

In this paper, a robust nonlinear control design strategy to solve the stabilization problem of an inverted pendulum system subject to parametric uncertainties and unmodeled dynamics is proposed. The control strategy is based on the combination of Amplified Linear Quadratic Regulator (ALQR) control with a high-order sliding mode algorithm. Differently from the standard ALQR controller, parametric uncertainties are considered in the design process. Linear matrix inequality conditions are provided to deal with the computational issues arising with the inclusion of this feature. A sliding mode term is added to the ALQR control law to mitigate the effect of unmodeled dynamics, such as dry friction, neglected in the system model. In order to prevent the occurrence of chattering, a high-order sliding mode approach was used, namely the second-order super-twisting algorithm. The effectiveness of the proposed strategy is evaluated through a real experiment performed using the Quanser inverted pendulum plant.

关键词： Amplified linear quadratic regulator Sliding mode control super-twisting algorithm Inverted pendulum LMI

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High-order sliding mode control of a doubly salient permanent magnet machine driving marine current turbine

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Journal of Ocean Engineering and Science 2021年第1期6卷 12-20页

作者： Hao Chen Shifeng Tang Jingang Han Tianhao Tang Nadia Aït-Ahmed Zhibin Zhou Mohamed Benbouzid The Institute of Power Drive and Control Shanghai Maritime University201306ShanghaiChina Institut de Recherche en Energie Electrique de Nantes Atlantique University of Nantes44602Saint-NazaireFrance ISEN Yncréa Ouest University of BrestFRE CNRS 3744 IRDL29200BrestFrance University of Brest UMR CNRS 6027 IRDL29238BrestFrance

Due to the harsh and changeable marine environment,one low speed stator-permanent magnet machine named doubly salient permanent magnet machine with toothed pole is applied for marine current energy conversion ***,this machine has simple structure,intriguing fault tolerance,and higher power density,which could adequately satisfy the different complicated operation ***,its permanent magnet flux-linkage has the same variation period as the inductance which leads to a strong nonlinear coupling ***,the torque ripple caused by this special characteristics,uncertainty of system parameters and disturbance of load greatly increases the difficulty of control in this strongly coupling ***,the classical linear PI controller is difficult to meet the system *** this paper,the high-order sliding mode control strategy based on the super-twisting algorithm for this system is creatively utilized for the first *** stability of the system within a limited time is also proved with a quadratic Lyapunov *** relative simulation results demonstrate convincingly that,the high-order sliding mode control has little chattering,high control accuracy and strong robustness.

关键词： Doubly salient permanent magnet machine Torque ripple Chattering High-order sliding mode control super-twisting algorithm

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A second order sliding mode strategy for fault detection and fault-tolerant-control of a MEMS optical switch

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MECHATRONICS 2012年第6期22卷 696-705页

作者： Saif, Mehrdad Ebrahimi, Behrouz Vali, Mehdi Univ Windsor Fac Engn Dept Elect & Comp Engn Windsor ON N9B 3P4 Canada Texas A&M Univ Qatar Mech Engn Program Doha 23874 Qatar Univ Kashan Fac Engn Kashan Iran

Optical switches are widely used in telecommunication industry due to their many desirable characteristics. In this paper, robust fault detection and fault-tolerant-control (FTC) system for an uncertain nonlinear MEMS optical switch are presented. The design strategy is based on the second order sliding mode approach. A robust second order nonlinear sliding mode observer capable of filtering unwanted high frequencies due to unmodeled dynamics is used to generate quantities called the the residuals. The residuals are then used for the purpose of fault detection and alarm generation. Once an alarm is registered, a fault tolerant control strategy is employed. Two different fault-tolerant control strategies for the unhealthy system are considered. The first strategy is based on conventional sliding mode, while the second is based on a second order sliding mode theory. Robustness and convergence of the proposed schemes are proved using the second method of Lyapunov and the super-twisting algorithm. A comparative study is then performed to demonstrate the superior capability of second order sliding mode control strategy in fault accommodation. Finally, the effectiveness of the proposed strategy for detection of faults, and subsequent control of the MEMS optical switch is illustrated through simulation studies. (C) 2012 Elsevier Ltd. All rights reserved.

关键词： Second order sliding mode super-twisting algorithm Robustness Fault-diagnosis Fault-tolerant control MEMS optical switch

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Step-by-step implicit discrete super-twisting differentiator for input-output linearizable nonlinear systems 11

Step-by-step implicit discrete super-twisting differentiator...

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8th International-Federation-of-Automatic-Control (IFAC) Symposium on Mechatronic Systems (MECHATRONICS) / 11th International-Federation-of-Automatic-Control (IFAC) Symposium on Nonlinear Control Systems (NOLCOS)

作者： Chairez, Isaac Inst Politecn Nacl UPIBI Bioproc Dept Mexico City DF Mexico Tecnol Monterrey Sch Engn Campus Guadalajara Monterrey NL Mexico

The aim of this study was to design a step-by-step numerical differentiator for a class of discretized version of a n-th chain-of-integrator system based on the application of the implicit discretization of the super-twisting algorithm (STA). The high-order differentiator reconstructed the non-measurable states of an input-output linearizable systems. The gains of the observer were calculated based on the application of a class of generalized functions. The convergence analysis showed that all the states in the linearized system achieved an invariant set with a predefined size. The existence of this invariant set depends on the uniqueness of the solution for the generalized function. A simple interpretation of a possible exact reconstruction of the non-measurable states of the implicit discretized form. The application of the implicit discretized STA served to design a class of observer for the microalgae culture system. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Sliding mode super-twisting algorithm Numerical differentiator Discrete sliding mode

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A Globally Exponentially Convergent I&I Observer for Vehicles with Roll Dynamics

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IFAC-PapersOnLine 2017年第1期50卷 3394-3399页

作者： Romero J.G. Ley-Rosas J.J. Cisneros R. González-Jiménez L.E. Loukianov A.G. Departamento Académico de Sistemas Digitales ITAM Río Hondo 1 Ciudad de México 01080 Mexico CINVESTAV Guadalajara Av. del Bosque 1145 Zapopan CP 45019 Mexico FREEDM Systems Center Keystone Science Center 1791 Varsity Dr Raleigh NC 27606 United States ITESO AC Periférico Sur Manuel Gomez Morín 8585 Tlaquepaque Jalisco 45604 Mexico

In this paper an observer for a vehicle system considering roll dynamics is presented. The observer design is based on the well-known Immerse and Invariance (I&I) technique to estimate the lateral velocity, roll angle and roll velocity of the vehicle from the measurements of the longitudinal/lateral accelerations, longitudinal velocity, yaw rate and steer angle. Furthermore, under practical considerations, global exponential convergence can be assured. To assess the performance of the observer, an observer-based control using the super-twisting algorithm has been derived and validated through numerical simulations. © 2017

关键词： Ground vehicles I&I Observer super-twisting algorithm

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MIMO super-twisting Controller: A new design 16

MIMO Super-Twisting Controller: A new design

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16th International Workshop on Variable Structure Systems (VSS)

作者： Garcia-Mathey, Juan F. Moreno, Jaime A. Univ Nacl Autonoma Mexico Inst Ingn Mexico City 04510 DF Mexico

ISBN: (数字)9781665463591

ISBN: (纸本)9781665463591

We propose a novel MIMO super-twisting control algorithm based on passivity properties. The differences with most known MIMO algorithms are: the control terms are not of unity-type, the control matrix may be uncertain and the gain matrices can be full, instead of the usual scalar gains. A smooth Lyapunov function is used instead of the usual non-smooth one. Two examples with uncertain control matrices are presented to illustrate the unique properties of the proposed controllers, together with a comparison with other known schemes.

关键词： MIMO systems super-twisting algorithm

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Motion Control in Resonant Frequency for an Electrified Implement 20

Motion Control in Resonant Frequency for an Electrified Impl...

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20th IEEE Mediterranean Eletrotechnical Conference (IEEE MELECON)

作者： Stasewitsch, Ilja Pussack, Michaela Schattenberg, Jan Frerichs, Ludger Tech Univ Carolo Wilhelmina Braunschweig Inst Mobile Machines & Commercial Vehicles Braunschweig Germany

ISBN: (纸本)9781728152004

The electrification is one of the main focuses in the research and development of new mobile machines. But not only the drive train will be electrified but also the implements and attached equipment. This leads to new designs of these implements, which may require new control strategies. The electrified sickle-bar mower for cutting grass with mobile machines is shown here as an example. The aim is to control the amplitude of the sickle-bar's position, which is important for a good process quality, but energy efficiency is also important for long operating times. The developed control strategies are able to control the desired position amplitude and the approaches have strategies to be energy efficient. One control strategy is based on the super twisting algorithm and the other controls the amplitude of a sinusoidal motion.

关键词： Sine Amplitude Control Resonant Frequency super-twisting algorithm Online Parameter Optimization Electrified implement Motion Control

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On the Use of Prescribed-Time super-twisting for Fusing Multiple Redundant Noisy Measurements 12

On the Use of Prescribed-Time Super-Twisting for Fusing Mult...

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2024 IEEE Andescon Conference

作者： Silva, Paula R. Silva, Joao F. Santos, Davi A. Aeronaut Inst Technol Dept Mechatron Sao Jose Dos Campos Brazil

ISBN: (纸本)9798350355291;9798350355284

This paper deals with the robust prescribed-time nonlinear state estimation for fusing multiple redundant noisy sensor measurements. Firstly, we present the prescribed-time super-twisting algorithm (PT-STA), which is a recent modified version of the classical super-twisting algorithm that ensures robust convergence within a prescribed time. Subsequently, the PT-STA is used to design a prescribed-time nonlinear robust state observer for second-order systems subject to disturbances and uncertainties. The observer is then combined with an average-based sensor fusion strategy that further improve the overall estimates in terms of noise rejection and sensor fault tolerance. We introduce sensor fusion algorithm for considering the availability of multiple redundant measurements. The effectiveness of the proposed scheme is illustrated via numerical simulations of a perturbed damped pendulum, under different numbers of measurements and also considering sensor fault. We compare the results with those obtained using the conventional super-twisting observer. The results indicate robust convergence of estimation errors to the origin within the prescribed time, a reduction in measurement noise as the number of measurements is increased, and sensor fault tolerance.

关键词： Multi-sensor fusion prescribed-time convergence super-twisting algorithm

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