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On the input-output linearization for Nonlinear Time-Delay Systems

IFAC Proceedings Volumes 1998年第18期31卷 543-548页

作者： L.A. Márquez-Martínez C.H. Moog IRCyN - UMR C.N.R.S. 6597 BP 92101. 44321 NANTES Cedex 3 France

This paper deeds with the input-output linearization problem tor time-delay systems. A new suitable definition for this problem is stated. This work features a sufficient condition for the existence of a static solution, weaker than the conditions found in the literature. The existence of dynamic solutions is investigated as well. Le problème de linéarisation entrée-sortie des systèmes non linéaires à retards est considéré dans ce papier. Une définition appropriée de ce problème est proposée pour ce type de systèmes. On presente une condition suffisante pour l'existence d'une solution statique plus faible que celle trouvée dans la littérature, et une autre pour l'existence d'une solution dynamique.

关键词： Nonlinear systems time-delay systems input-output linearization static compensation dynamic compensation

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Nonlinear Controller Design by Uncovering Linear Dynamics Hidden by input-output linearization

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IFAC Proceedings Volumes 1997年第9期30卷 709-714页

作者： Soumitri Kolavennu Srinivas Palanki Juan C. Cockburn Department of Chemical Engineering FAMU-FSU College of Engineering Florida State University Florida A & M University Tallahassee FL 32310-6046 Department of Electrical Engineering FAMU-FSU College of Engineering Florida State University Florida A & M University Tallahassee FL 32310-6046

A great deal of research has addressed the problem of explicitly linearizing the input-output response of a nonlinear system via state feedback. However, this approach can often hide linear dynamics that could be useful for controller design. A controller design methodology is developed based on a coordinate transformation that uncovers the linear dynamics hidden by conventional input-output linearization. This methodology is illustrated via simulation of a CSTR example and it is shown that this controller performance is better than the performance of a standard input-output linearization approach.

关键词： Nonlinear Control State Feedback input-output linearization

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Engine-Based input-output linearization for Traction Control Systems ⁎

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IFAC-PapersOnLine 2020年第2期53卷 14055-14060页

作者： Elias Reichensdörfer Dirk Odenthal Dirk Wollherr Technical University of Munich Chair of Automatic Control Engineering 80333 Munich Germany and BMW Group 80788 Munich Germany BMW M GmbH 85748 Garching near Munich Germany Technical University of Munich Chair of Automatic Control Engineering 80333 Munich Germany

Engine-based traction control marks a paradigm shift for electronic stability systems in the automotive industry. It enables traction control systems with higher bandwidth and performance by an architectural change. As a new approach, only few work exists that considers analytic control design for engine-based traction control. This paper extends our recent work on input-output linearization for engine-based traction control. Global, exponential stability for arbitrary vehicle parameters and time-varying road adhesion coefficients is shown for the first time. Experiments in a test vehicle compare the proposed design with different traction control systems. It is shown that on the considered maneuver, the control design achieves superior tracking performance, disturbance attenuation and damping of drivetrain oscillations.

关键词： Traction control system input-output linearization passivity zero dynamics

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Boundary Control of Nonlinear Distributed Parameter Systems by input-output linearization

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IFAC Proceedings Volumes 2011年第1期44卷 10910-10915页

作者： Ahmed MAIDI Jean Pierre CORRIOU Université Mouloud MAMMERI Faculté de Génie Electrique et d'Informatique Département Automatique Tizi-Ouzou Algérie Laboratoire Réactions et Génie des Procédés (LRGP) CNRS-ENSIC 1 Rue Grandville BP 20451 54001 Nancy Cedex France

Abstract The present study focuses on boundary control of nonlinear distributed parameter systems and deals with Dirichlet actuation. Thus, a design approach of a geometric control law that enforces stability and output tracking of a given punctual output is developed based on the notion of the characteristic index. The control performance of the proposed strategy is evaluated through numerical simulation by considering two control problems. The former concerns the control of the temperature of a thin metal rod modelled by a heat equation with a nonlinear source, and the later concerns the control of concentration of a dye in liquid medium modeled by Fick law with nonconstant diffusivity.

关键词： Distributed parameter systems nonlinear partial differential equation geometric control input-output linearization

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Nonlinear Control of Induction Motor： A Combination of Nonlinear Observer Design and input-output linearization Technique

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Journal of Energy and Power Engineering 2013年第5期7卷 1001-1008页

作者： Farid Berrezzek Wafa Bourbia Bachir Bensaker Departement Genie Electrique Universite Med Cherif Messadia Souk Ahras 41000 Algerie Departement d'Electrotechnique Universite Badji Mokhtar Annaba Annaba 2300 Algerie Laboratoire d'Electromecanique Universite Badji Mokhtar Annaba Annaba 2300 Algerie

This paper deals with a nonlinear control strategy of induction motor that combines an input-output linearization control technique and a nonlinear observer design. It is well known that induction motors are the most widely used motors in electrical appliances, industrial control and automation. However, it is also known that induction motor control is a complex task that is due to its nonlinear characteristics. Two main features of the proposed approach are worth to be mentioned. Firstly, a nonlinear control is carried out using a nonlinear feedback linearization technique involving non available state variable measurements of the induction motor system. Secondly, a nonlinear observer is designed to estimate these pertinent but unmeasurable state variables of the machine. The circle-criterion approach is performed to compute the observer gain matrices as a solution of LMI （linear matrix inequalities） that ensure the stability conditions, in the sense of Lyapunov, of the estimated state error dynamics of the designed observer. Simulation results are presented to validate the effectiveness of the proposed approach.

关键词： Induction motor nonlinear control input-output linearization nonlinear observer circle criterion Lyapunov stability.

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Discrete-Time Modeling and input-output linearization of Current-Fed Induction Motors for Torque and Stator Flux Decoupled Control

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CYBERNETICS AND INFORMATION TECHNOLOGIES 2014年第1期14卷 128-140页

作者： Enev, Stanislav Tech Univ Sofia Fac Automat 8 Kl Ohridski Str BU-1000 Sofia Bulgaria

In this paper an exact discrete-time model of the induction motor in a current-fed mode, including stator flux components is derived and validated. The equations of the motor are written in a frame aligned with the rotor electrical position, which results in a linear, time-invariant system. Based on the derived exact discrete-time representation of the motor dynamics, an input-output linearizing control law is designed for decoupled torque and stator flux control. The applied design technique led to a non-trivial, still useful, definition of the electromagnetic output of the motor. Simulation results are presented showing that the aimed performance is obtained, that is, no coupling exists between the outputs, and the initial design problem of controlling a nonlinear interacting TITO system is reduced to a problem of controlling two linear and decoupled SISO systems with simple dynamics.

关键词： input-output linearization induction motor discrete-time nonlinear control

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Temporary Primary Frequency Control Support by Deloaded Wind Power Plant Using input-output linearization

Temporary Primary Frequency Control Support by Deloaded Wind...

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International Conference on Control, Automation and Systems

作者： Yonghao Gui Chunghun Kim Chung Choo Chung Department of Electrical Engineering Hanyang University Seoul 04763 Korea Division of Electrical and Biomedical Engineering Hanyang University Seoul 04763 Korea

ISBN: (纸本)9781467390583

In this paper, a nonlinear control method is proposed to improve the primary frequency control for doubly fed induction generator (DFIG) wind turbine system. Individual wind turbines in wind power plant are controlled in deloaded operation to provide the frequency support during depressed frequency conditions. By considering of nonlinearity of the system, input-output linearization method is applied to improve the performance of primary frequency response. It can be guaranteed that the system is exponentially stable with the proposed method. The proposed method is validated by using a simple microgrid, consisting of one wind power plant, one diesel generator, and a load, through MATLAB/Simulink. The simulation results show that the proposed method has an improvement of primary frequency control when the load increases.

关键词： DFIG wind turbine Primary frequency control Deloaded input-output linearization Microgrid

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Adaptive Fuzzy Sliding Mode Control Algorithm Based on input-output linearization for Vehicle's Lateral Control

Adaptive Fuzzy Sliding Mode Control Algorithm Based on Input...

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2016 IEEE Chinese Guidance, Navigation and Control Conference (IEEE CGNCC2016)

作者： Chaobo Chen Junfeng Lv Song GAO Hailong Liu Autonomous Unmanned Systems Research Laboratory Xi'an Technological University School of Electronic Information Engineering Xi'an Technological University

ISBN: (纸本)9781467383196

A modified control approach combined with input-output linear algorithm and adaptive fuzzy sliding mode algorithm is proposed to adapt the non-linear and time-varying nature of vehicle's lateral *** order to design the controller,this paper changed the nonlinear control model to a linear form using input-output linear *** fuzzy sliding mode control method is introduced to the algorithm to increase the robustness of the *** addition,the control effectiveness has been discussed in the simulation *** results show:despite external environmental factors and vehicle's own parameters has changed,the system still track the desired path accurately,vehicle's lateral deviation and direction deviation approaching zero *** with the pure sliding mode algorithm,chattering amplitude reduced by 82%2%.

关键词： input-output linearization Adaptive fuzzy Sliding mode Lateral control Look-ahead control

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Design of a Flexible Manipulator controller Based on input-output linearization

Design of a Flexible Manipulator controller Based on Input-o...

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2007 IEEE International Conference on Automation and Lofistics

作者： Runzhi Wu Ying Sun Fangxiao Cheng Lan Yu Department of Electric and Electronic Engineering Changchun University of Technology Changchun Jili Department of Energy and Power Changchun Institute of Technology Changchun Jilin Province China

ISBN: (纸本)9781424415304

Basing on input-output linearization strategy,a model of the flexible manipulator can be decomposed into an input-output subsystem and a zero-dynamics subsystem A fuzzy control is used to input-output *** analyzing the relationship between the eigenvalues of the zero-dynamics subsystem and the designed parameters in the output of the redefined system,the designed parameters are determined, and guarantee the zero-dynamics to be asymptotically stable at equilibrium point,thus guarantee the whole flexible manipulator system to be asymptotically stable.

关键词： Flexible manipulator input-output linearization Fuzzy control

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input-output feedback linearization of time-delay systems

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2004年第5期49卷 781-786页

作者： Márquez-Martínez, LA Moog, CH CICESE Tijuana Ensenada Dept Elect & Telecommun Ensenada 22860 Baja California Mexico CNRS IRCCyN UMR F-44321 Nantes 3 France

In this note, the input-output linearization problem (IOLP) fora class of single-input-single-output nonlinear systems with multiple delays in the input, the output, and the state is studied. The problem is solved by means of various static or dynamic compensators, including state and output feedback. The mathematical setting is based on some noncommutative algebraic tools and the introduction of a nonlinear version of the so-called Roesser models for this class of systems. These are claimed to be the cornerstones for studying nonlinear time-delay systems. Necessary and sufficient conditions are given for the existence of a static or pure shift output feedback which solves the IOLP. Sufficient conditions for the existence of a dynamic state feedback solution are included as well.

关键词： causal solutions dynamic compensator input-output linearization nonlinear time-delay systems output feedback state feedback static compensator

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