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Finite-time parametric identification for the model representing the metabolic and genetic regulatory effects of sequential aerobic respiration and anaerobic fermentation processes in Escherichia coli

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MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA 2018年第3期35卷 299-317页

作者： Sepulveda-Galvez, Alfonso Agustin Badillo-Corona, Jesus Chairez, Isaac Inst Politecn Nacl UPIBI SEPI Mexico City 07340 DF Mexico Inst Politecn Nacl Dept Bioproc Mexico City 07340 DF Mexico

Mathematical modelling applied to biological systems allows for the inferring of changes in the dynamic behaviour of organisms associated with variations in the environment. Models based on ordinary differential equations are most commonly used because of their ability to describe the mechanisms of biological systems such as transcription. The disadvantage of using this approach is that there is a large number of parameters involved and that it is difficult to obtain them experimentally. This study presents an algorithm to obtain a finite-time parameter characterization of the model used to describe changes in the metabolic behaviour of Escherichia coli associated with environmental changes. In this scheme, super-twisting algorithm was proposed to recover the derivative of all the proteins and mRNA of E. coli associated to changes in the concentration of oxygen available in the growth media. The 75 identified parameters in this study maintain the biological coherence of the system and they were estimated with no more than 20% error with respect to the real ones included in the proposed model.

关键词： Escherichia coli parametric identification super-twisting algorithm finite time genetic networks

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Stability analysis of 2-sliding mode algorithms via convex optimisation ⁎

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IFAC-PapersOnLine 2019年第11期52卷 178-183页

作者： David Vázquez Alán Tapia Adolfo Soto-Cota Miguel Bernal Sonora Institute of Technology 5 de Febrero 818 Sur Obregon Sonora Mexico

This paper pursues the construction of a valid strong Lyapunov function for second-order sliding mode algorithms, usually employed for control, observation, and differentiation purposes. The developed solution is based on combining convex representations of such algorithms with the direct Lyapunov method, which leads to stability conditions expressed in the form of linear matrix inequalities. The proposed methodology enlarges the set of gains for which the algorithms are guaranteed stable in prior literature.

关键词： 2-Sliding Mode super-twisting algorithm Linear Matrix Inequality Direct Lyapunov Method

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Design and Implementation of a Sliding Mode Observer-Based Controller for a Mass-Spring System 5th

Design and Implementation of a Sliding Mode Observer-Based C...

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5th Workshop on Engineering Applications (WEA)

作者： Florez, Carlos M. Botero Castro, Hector Jimenez-Rodriguez, Esteban Univ Nacl Colombia Fac Minas Sede Medellin Carrera 80 65-223 Medellin Colombia Cinvestav Guadalajara Dept Elect Engn Av Bosque 1145 Col El Bajio Zapopan Mexico

ISBN: (纸本)9783030003531;9783030003524

This work presents the implementation of a sliding mode observer-based controller on a mass-spring experimental platform. The controller is based on the super-twisting algorithm and the observer is based on a high order sliding mode algorithm, to obtain continuous control signal. The simulations and practical results show a good performance of the complete structure.

关键词： Sliding mode super-twisting algorithm Observer-based control

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Maximum wind energy capture in a wind system using a doubly-fed induction generator

Maximum wind energy capture in a wind system using a doubly-...

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IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)

作者： Morfin, O. A. Ruiz-Cruz, R. Ornelas-Tellez, F. Campos-Valdillez, A. Ramirez-Betancour, R. Padilla, N. Gandara, J. A. Univ Autonoma Ciudad Juarez Inst Ingn & Tecnol Dept Elect & Comp Ciudad Juarez Mexico ITESO Lab Invest Diseno Optimo Disposit & Mat Avanzados Dept Matemat & Fis Tlaquepaque Mexico Univ Michoacana Fac Ingn Elect Morelia Michoacan Mexico Univ Juarez Autonoma Tabasco Div Acad Ingn & Arquitectura Cunduacan Mexico

ISBN: (纸本)9781538659359

On this paper the authors propose an analysis of a scalable wind system on dq frame using a doubly-fed induction generator. The wind system model includes the turbine and the doubly-fed induction generator model, where the turbine model contains a mathematical function to approximate the power coefficient, the power and torque produced by the wind turbine. Both models are presented in detailed form. The closed-loop wind system controller is described, where the controlled output variables are: the electromagnetic torque to maximize the wind energy capture and the stator reactive power of the energy delivered to the grid to control the power factor. Finally, simulation results are shown to validate the robust operation of the proposed wind system controller.

关键词： doubly-fed induction generator maximum wind energy capture super-twisting algorithm

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External Perturbation Estimation based on super-twisting algorithm for Attitude Control of UAVs

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IFAC Proceedings Volumes 2012年第13期45卷 746-752页

作者： L. Derafa A. El Hadri L. Fridman Control and Command Laboratory Ecole Militaire Polytechnique 16111 Bordj El Bahri Algiers Algeria Laboratory of Systems Engineering (LISV) Versailles University 10-12 Avenue de l'Europe 78140 Vélizy France Dept. Control Automatico CINVESTAV-IPN-Mexico D.F.AP-14-740 on leave on Departamento de Ingeneria de Control y Robotica Devision de Ingeneria Electrica Facultad de Ingeneria UNAM

In this paper, the problem of UAVs attitude control with external perturbation is addressed. The algorithm is constructed in two steps, in the first step the external perturbation is estimated using finite time convergent observer (super-twisting algorithm (STA)) while in the second step this estimation is used by the controller in order to compensate it. The closed loop stability properties of this nonlinear controller/observer are analyzed using separation principle and the system is found to be globally stable. The results of simulations and actual experiments on a real quadrotor show the effectiveness of the proposed observer/controller to improve the performances of the system despite of disturbances.

关键词： Quadrotor UAV super-twisting algorithm disturbance estimation attitude control

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Reply to "Comments on 'Continuous Integral Terminal Third-Order Sliding Mode Motion Control for Piezoelectric Nanopositioning System' "

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IEEE-ASME TRANSACTIONS ON MECHATRONICS 2018年第6期23卷 2980-2980页

作者： Xu, Qingsong Univ Macau Fac Sci & Technol Dept Electromech Engn Macau Peoples R China

We thank the authors of paper [1] for their comments on our paper [2]. We also thank the anonymous referees for their suggestions, which help us to improve the quality of the paper. In order to facilitate a better und... 详细信息

关键词： High-order sliding mode control precision motion control robust exact differentiator state estimation super-twisting algorithm

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A Novel Battery State of Charge Estimation Method Based on a super-twisting Sliding Mode Observer

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ENERGIES 2018年第5期11卷 1211-1211页

作者： Huangfu, Yigeng Xu, Jiani Zhao, Dongdong Liu, Yuntian Gao, Fei Northwestern Polytech Univ Sch Automat Xian 710072 Shaanxi Peoples R China Univ Bourgogne Franche Comte UTBM Inst FEMTO ST Energy DeptUMR CNRS 6174 F-90010 Belfort France

A novel method for Li-ion battery state of charge (SOC) estimation based on a super-twisting sliding mode observer (STSMO) is proposed in this paper. To design the STSMO, the state equation of a second-order RC equivalent circuit model (SRCECM) is derived to represent the dynamic behaviors of the Li-ion battery, and the model parameters are determined by the pulse current discharge approach. The convergence of the STSMO is proven by Lyapunov stability theory. The experiments under three different discharge profiles are conducted on the Li-ion battery. Through comparisons with a conventional sliding mode observer (CSMO) and adaptive extended Kalman filter (AEKF), the superiority of the proposed observer for SOC estimation is validated.

关键词： super-twisting algorithm sliding mode observer second-order RC equivalent circuit model Li-ion battery state of charge

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A modified super-twisting sliding mode control with inner feedback and adaptive gain schedule

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INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING 2017年第3期31卷 398-416页

作者： Yang, Yi Qin, Shiyin Jiang, Ping Beijing Univ Aeronaut & Astronaut Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China Henan Polytech Univ Sch Elect Engn & Automat Jiaozuo 454000 Peoples R China Chinese Acad Sci Inst Opt & Elect Chengdu 610209 Peoples R China

In order to deal with the overestimation of matched uncertainty and improve the convergence of sliding variable in sliding mode control, a modified structure of super-twisting algorithm (STA) with inner feedback and adaptive gain schedule is presented in this paper. The foremost characteristic of the modified STA is that an inner feedback mechanism is built in the standard STA so as to regulate the dynamic behavior of sliding variable effectively. The damping effect produced by the inner feedback can restrain the overshoot and enhance the performance of faster convergence of the sliding variable. Furthermore, the adaptive gain schedule can effectively decrease the chattering amplitude without knowing the upper bound of uncertainty. The numerical simulations and experiments on DC servo system with low speed are carried out to validate the effectiveness and performance advantages of the proposed methodology. Copyright (c) 2016 John Wiley & Sons, Ltd.

关键词： sliding mode control super-twisting algorithm adaptive gain schedule inner feedback

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Adaptive-gain fast super-twisting sliding mode fault tolerant control for a reusable launch vehicle in reentry phase

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ISA TRANSACTIONS 2017年第Part2期71卷 380-390页

作者： Zhang, Yao Tang, Shengjing Guo, Jie Beijing Inst Technol Sch Aerosp Engn Key Lab Dynam & Control Flight Vehicle Minist Educ Beijing Peoples R China

In this paper, a novel adaptive-gain fast super-twisting (AGFST) sliding mode attitude control synthesis is carried out for a reusable launch vehicle subject to actuator faults and unknown disturbances. According to the fast nonsingular terminal sliding mode surface (FNTSMS) and adaptive-gain fast super-twisting algorithm, an adaptive fault tolerant control law for the attitude stabilization is derived to protect against the actuator faults and unknown uncertainties. Firstly, a second-order nonlinear control-oriented model for the RLV is established by feedback linearization method. And on the basis a fast nonsingular terminal sliding mode (FNTSM) manifold is designed, which provides fast finite-time global convergence and avoids singularity problem as well as chattering phenomenon. Based on the merits of the standard super twisting (ST) algorithm and fast reaching law with adaption, a novel adaptive-gain fast super-twisting (AGFST) algorithm is proposed for the finite-time fault tolerant attitude control problem of the RLV without any knowledge of the bounds of uncertainties and actuator faults. The important feature of the AGFST algorithm includes non-overestimating the values of the control gains and faster convergence speed than the standard ST algorithm. A formal proof of the finite-time stability of the closed-loop system is derived using the Lyapunov function technique. An estimation of the convergence time and accurate expression of convergence region are also provided. Finally, simulations are presented to illustrate the effectiveness and superiority of the proposed control scheme. (C) 2017 ISA. Published by Elsevier Ltd. All rights reserved.

关键词： Reusable launch vehicle Fast nonsingular terminal sliding mode super-twisting algorithm Adaptive gain Fault tolerant

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Stability proof for a well-established super-twisting parameter setting*

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AUTOMATICA 2017年 84卷 241-243页

作者： Seeber, Richard Horn, Martin Graz Univ Technol Inst Automat & Control Christian Doppler Lab Model Based Control Complex Graz Austria

Several sufficient stability conditions exist for the super-twisting algorithm. For its tuning in practical applications, however, a popular parameter set is regularly used, which is provided in literature without any stability proof. This short note provides a novel, simple sufficient stability condition which includes this very popular parameter setting. (C) 2017 Elsevier Ltd. All rights reserved.

关键词： Sliding mode control super-twisting algorithm Stability proof Lyapunov function

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