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input-output linearization and Robust Sliding-Mode Controller for the VSC-HVDC Transmission Link

IEEE TRANSACTIONS ON POWER DELIVERY 2010年第3期25卷 1952-1961页

作者： Moharana, Akshaya Dash, P. K. Univ Western Ontario Dept Elect & Comp Engn London ON N6A 5B9 Canada SOA Univ Bhubaneswar 751034 Orissa India

This paper presents a robust nonlinear controller for VSC-HVDC transmission link using input-output linearization and sliding mode-control strategy. The feedback linearization is used to cancel nonlinearities and the sliding mode control offers invariant stability to modeling uncertainties due to converter parameter changes, changes in system frequency, and exogenous inputs. Comprehensive computer simulations are carried out to verify the proposed control scheme under several system disturbances, such as changes in short-circuit ratio, converter parametric changes, and faults on the converter and inverter buses. Based upon the time-domain simulations in the MATLAB/SIMULINK environment, the proposed controller is tested.

关键词： input-output linearization nonlinear control sliding mode control voltage-source controller (VSC)-HVDC link

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input-output linearization and decoupling of mechanical control systems

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2024年第13期34卷 8644-8660页

作者： Nowicki, Marcin Respondek, Witold Poznan Univ Tech Inst Automat Control & Robot Piotrowo 3a PL-61138 Poznan Poland Lodz Univ Technol Inst Automat Control Lodz Poland Normandie Univ INSA Rouen St Etienne Du Rouvray France

In this article, we present the problem of simultaneous input-output feedback linearization and decoupling (noninteracting) for mechanical control systems with outputs. We show that the natural requirement of preserving mechanical structure of the system and of transformations imposes supplementary conditions when compared to the classical solution of the same problem for general control systems. These conditions can be expressed using objects on the configuration space only. We illustrate our results with several examples of mechanical control systems.

关键词： decoupling matrix input-output decoupling input-output linearization mechanical control systems noninteracting control

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input-output linearization minimum sliding-mode error feedback control for spacecraft formation with large perturbations

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING 2015年第2期229卷 352-368页

作者： Cao, Lu Chen, Xiaoqian Natl Univ Def Technol Coll Aerosp Sci & Engn Changsha 410073 Hunan Peoples R China McGill Univ Dept Mech Engn Montreal PQ H3A 2T5 Canada

To improve the control precision of nonlinear spacecraft formation flying, the input-output linearization minimum sliding-mode error feedback controller is presented based on the linear-decoupled spacecraft formation model by input-output linearization method incorporating the sliding-mode control. This paper proposes a new strategy to estimate and offset the system-control errors, which include various kinds of uncertainties and disturbances. To facilitate the analysis, the linear-decoupled spacecraft formation model is first given;on which basis, the concept of equivalent control error is introduced to define the entire model error. Based on the minimum sliding-mode covariance constraint, a cost function is formulated to estimate the equivalent control error and fed back to the conventional sliding-mode control. It is shown that the sliding mode after the input-output linearization minimum sliding-mode error feedback controller will approximate to the ideal sliding mode with high-control precision. In addition, the new methodology is applied to spacecraft formation flying. It guarantees global asymptotic convergence of the relative-tracking error in the presence of the large perturbations. More exactly, the two input-output linearization minimum sliding-mode error feedback controller laws (continuous sliding-mode control and nonsingular terminal sliding-mode control) are developed for this spacecraft formation flying system. Several fault-tolerant scenarios are considered to verify that the input-output linearization minimum sliding-mode error feedback controller is still effective in the presence of faults in spacecraft thrusters. Numerical simulations are performed to demonstrate the efficacy of the proposed methodology to maintain and reconfigure the spacecraft formation with existence of initial offsets and large perturbations effects.

关键词： Spacecraft formation flying sliding-mode control minimum sliding-mode error input-output linearization fault-tolerant

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input-output linearization of non-linear time-varying delay systems: the single-input single-output case

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IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 2020年第3期37卷 831-854页

作者： Haidar, Ihab Nicolau, Florentina Barbot, Jean-Pierre Aggoune, Woihida ENSEA Quartz EA 7393 6 Ave Ponceau F-95014 Cergy Pontoise 95014 France

This paper deals with the input-output linearization of non-linear time-varying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded non-linear feedback linearizing the input-output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization are also presented. Finally, several examples illustrating our main results are discussed.

关键词： non-linear control systems delay systems input-output linearization Lie derivative

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input-output linearization and zero-dynamics control of three-phase AC/DC voltage-source converters

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IEEE TRANSACTIONS ON POWER ELECTRONICS 2003年第1期18卷 11-22页

作者： Lee, TS Natl Lien Ho Inst Technol Dept Elect Engn Miaoli 360 Taiwan

Nonlinear differential-geometric techniques are proposed for the design of feedback controller for three-phase voltage-source, pulsewidth modulation (PWM) ac/dc boost converters under a cascade control structure: The input-output linearizability of the system modeled in d-q synchronous reference frames is examined. The results lead to a decoupled d-q current control scheme. For the internal dc-bus voltage dynamics (zero dynamics), by considering the d-axis current command as control input and using a square transform on dc-bus voltage,,it is shown that this remaining system contains an input memoryless nonlinearity of conic sector type and satisfies the conditions for a Lur'e plant.. This suggests a new outer-loop control strategy to control the square of the do output voltage, rather than do output voltage itself;utilizing a simple proportional plus integral (PI) controller cascaded to the d-axis current loop. Since most results do not consider the control of zero dynamics, the strategy for the control of zero dynamics via cascade control structure may provide valuable insight for the design of input-output linearized systems in which, zero dynamics contain some desired control variables. The absolute tracking concept for Lur'e plants is introduced to prove the global tracking capability with zero steady-state error of the voltage loop. The controlled PWM ac/dc converter has the features of global stability, fast (exponential) tracking of dc-bus voltage command with zero steady-state error, asymptotic rejection of load disturbance, robustness against parameter uncertainties and decoupled dynamical responses between d and q current loops: Also, measurement of load current is not required. All these features are confirmed via laboratory experiments on a 1.5 KVA PC-based controlled prototype.

关键词： AC/DC converter input-output linearization Lur'e plant zero dynamics

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input-output linearization of nonlinear systems using multivariable Legendre polynomials

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AUTOMATICA 2005年第2期41卷 299-304页

作者： Deutscher, J Univ Erlangen Nurnberg Lehrstuhl Regelungstech D-91058 Erlangen Germany

This contribution presents a: new approach for the numeric computation of the input-output linearizing feedback law, which is obtained exactly in an analytical form. By using a state space embedding technique the nonlinear system to be controlled is described by a higher order system with solely polynomial nonlinearities. Consequently, the nonlinearities of this system can be represented by multivariable Legendre polynomials, so that the derivation of the input-output linearizing feedback controller can be accomplished using the operational matrices of multiplication and of differentiation for Legendre polynomials. (C) 2004 Elsevier Ltd. All rights reserved.

关键词： nonlinear control input-output linearization Legendre polynomials polynomial systems state space embedding

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input-output linearization-Based Controller Design for Stand-Alone Solid Oxide Fuel Cell Power Plant

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ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2016年第9期41卷 3543-3558页

作者： Ahmed, Ashik Ullah, Md. Shahid Islamic Univ Technol EEE Dept Gazipur Bangladesh

Application of input-output linearization control for improving the dynamic response of a stand-alone solid oxide fuel cell (SOFC) system is presented in this work. The proposed controllers are incorporated in the study system to eliminate the sluggishness in the hydrogen and oxygen partial pressure responses due to variations in the SOFC reference current. Temperature dynamics of SOFC is taken into consideration to replicate the impact of temperature variation on the system dynamics. Eigenvalue study of the linearized zero dynamics is conducted to determine the stability of the unobservable part of the system, and the remaining dynamics is considered for designing the input-output linearization-based controllers. Pole placement technique is adopted to obtain the controller gains which give the desired dynamic response. The performance of the proposed technique is compared with that of the optimized proportional-integral (PI) controller. The proposed controller efficiency is also tested under varying operating conditions and measurement noise. Simulation results show the efficacy and supremacy of the proposed method in improving the dynamic response of the study system.

关键词： Solid oxide fuel cell input-output linearization Internal dynamics Zero dynamics Pole placement

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input-output linearization of SISO nonlinear time-varying delay systems

Input-output linearization of SISO nonlinear time-varying de...

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20th World Congress of the International-Federation-of-Automatic-Control (IFAC)

作者： Haidar, Ihab Nicolau, Florentina Barbot, Jean-Pierre Aggoune, Woihida ENSEA Quartz EA 7393 6 Ave Ponceau F-95014 Cergy Pontoise France INRIA Lille Non A Nord Europe 40 Ave Halley F-59650 Villeneuve Dascq France

The present paper deals with the input-output linearization of nonlinear time-varying delay systems with delays in the input and the output. We introduce an extension of the Lie derivative for time-varying delay systems. We derive sufficient conditions for existence of a causal and bounded nonlinear feedback that linearizes the input-output behavior and stabilizes the system. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Nonlinear control systems Delay systems input-output linearization Lie derivative

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input-output linearization of Wind Energy System Based on PMSG for Direct Active and Reactive Power Control via Sliding Mode Approach

Input-Output Linearization of Wind Energy System Based on PM...

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International Conference and Utility Exhibition on Green Energy for Sustainable Development (ICUE)

作者： Bolouki, Navid Abbaszadeh, Karim Roozbehani, Sam KN Toosi Univ Dept Elect Engn Tehran Iran Niroo Res Inst Tehran Iran

ISBN: (纸本)9781479926275

This paper proposes a new direct power control (DPC) for wind turbine system driven by permanent synchronous generator (PMSG) in order to track maximum absorbable power in different wind speeds. The desired optimum power is determined for per wind speed by lookup table. Finally new direct power control (DPC) employs input output linearization and sliding mode nonlinear controller for robust control of active and reactive power and obtaining maximum power from wind turbine. Also constant switching frequency and required pulse for converters is achieved by using space vector modulation (SVM). Simulation results on 5.7-KW wind turbine are provided Results show that the proposed controller has low error for tracking maximum power in presence wind speed variation.

关键词： Wind Turbine PMSG input-output linearization Nonlinear Control Sliding mode control Maximum energy

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input-output linearization and Stabilization Analysis of Internal Dynamics of Buck-Boost Converters

Input-Output Linearization and Stabilization Analysis of Int...

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31st Chinese Control Conference

作者： Shuai, Dingxin Panzhihua Univ Coll Elect & Informat Engn Panzhihua 617000 Peoples R China

ISBN: (纸本)9789881563811

Using the state-space average modeling method, a nonlinear affine model of Buck-Boost converter is set up. Based on the input-output linearization method of differential geometry theory, the internal dynamics of the systems, with output represented by inductor current and capacitor voltage respectively, are been studied. It is pointed out that the average PWM model of the 'Buck-Boost' converter, with output represented by the average capacitor voltage, is actually a nonminimum phase system, and its internal dynamics is unstable. So, it is unfeasible to control the output voltage directly. But, if the output is represented by the average inductor current, the system is a minimum phase system, and its internal dynamics is asymptotically stable. It is feasible to control the output voltage indirect through the regulation of inductor current. Further, the nonlinear state feedback law is proposed. The control law proposed in this paper has some advantages of being simple, easy to implement. The validity of the indirect output capacitor voltage control scheme using input-output feedback linearization method is verified by numerical simulation results. Key waveforms based on simulated extensive work verify the superiority of the proposed nonlinear control method.

关键词： Buck-Boost converter nonlinear input-output linearization internal dynamics stabilization

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