Lyapunov-Designed Super-Twisting Sliding Mode Control for Wind Energy Conversion Optimization

Evangelista, Carolina Alejandra; Puleston, Pablo Federico; Valenciaga, Fernando; Fridman, Leonid

doi:10.1109/tie.2012.2188256

Cited by 185 publications

(105 citation statements)

References 22 publications

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“…Then, these bounds were finely tuned based on previous experimental data and our own experience in the process. Alternatively, ρ can be continuously adapted to improve robustness without unnecessarily increasing output noise following some of the procedures recently presented in [7,13,35,37]. For comparative purposes, we obtain another µ-estimate by numerical differentiation of the measured signal:…”

Section: Resultsmentioning

confidence: 99%

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Reaction rate reconstruction from biomass concentration measurement in bioreactors using modified second-order sliding mode algorithms

Battista

Picó

Garelli

et al. 2012

Bioprocess Biosyst Eng

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Navarro Herrero, JL. (2012). Reaction rate reconstruction from biomass concentration measurement in bioreactors using modified second-order sliding mode algorithms. Bioprocess and Biosystems Engineering. 35(9):1-11. doi:10.1007/s00449-012-0752-y. Abstract This paper deals with the estimation of unknown signals in bioreactors using sliding observers. Particular attention is drawn to estimate the specific growth rate of microorganisms from measurement of biomass concentration. In a recent article, notions of high-order sliding modes have been used to derive a growth rate observer for batch processes. In this paper we generalize and refine these preliminary results. We develop a new observer with a different error structure to cope with other types of processes. Also, we show that these observers are equivalent, under coordinate transformations and time scaling, to the classical super-twisting differentiator algorithm, thus inheriting all its distinctive features. The new observers family achieves convergence to time-varying unknown signals in finite time, and presents the best attainable estimation error order in the presence of noise. Also, the observers are robust to modeling and parameter uncertainties since they are based on minimal assumptions on bioprocess dynamics. In addition, they have interesting applications in fault detection and monitoring. The observers performance in batch, fed-batch and continuous bioreactors is assessed by experimental data obtained from the fermentation of Saccharomyces Cerevisiae on glucose.

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Section: Resultsmentioning

confidence: 99%

“…Moreover, (12) is independent of x after the time scaling (13). In fact, the observer error dynamics in the new time scale is…”

Section: Sliding Observer For Growth Rates With Biomass-proportionallmentioning

confidence: 99%

Reaction rate reconstruction from biomass concentration measurement in bioreactors using modified second-order sliding mode algorithms

Battista

Picó

Garelli

et al. 2012

Bioprocess Biosyst Eng

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“…The rotor current or rotor voltage is conservatively chosen, and this will aggravate control chattering. Paper [20] proposes an adaptive secondorder sliding mode control strategy to maximize the energy production simultaneously reducing the mechanical stress on the shaft. Yet, preliminary results of this proposal are applied to a simple single-input single-output topology and based on a unidirectional DFIG.…”

Section: Journal Of Control Science and Engineeringmentioning

confidence: 99%

Maximum Wind Power Tracking of Doubly Fed Wind Turbine System Based on Adaptive Gain Second-Order Sliding Mode

Sun

Han

Zhang³

2018

Journal of Control Science and Engineering

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This paper proposes an adaptive gain second-order sliding mode control strategy to track optimal electromagnetic torque and regulate reactive power of doubly fed wind turbine system. Firstly, wind turbine aerodynamic characteristics and doubly fed induction generator (DFIG) modeling are presented. Then, electromagnetic torque error and reactive power error are chosen as sliding variables, and fixed gain super-twisting sliding mode control scheme is designed. Considering that uncertainty upper bound is unknown and is hard to be estimated in actual doubly fed wind turbine system, a gain scheduled law is proposed to compel control parameters variation according to uncertainty upper bound real-time. Adaptive gain second-order sliding mode rotor voltage control method is constructed in detail and finite time stability of doubly fed wind turbine control system is strictly proved. The superiority and robustness of the proposed control scheme are finally evaluated on a 1.5 MW DFIG wind turbine system.

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“…Also, an adaptive super-twisting control algorithm for a two-degrees-of-freedom helicopter is presented in [9], where a nonlinear extended state observer is proposed for estimating the required non-measurable states, as well as parametric uncertainties and external disturbances. Another control strategy using the super-twisting algorithm is shown in [10,11]. In [11], the Lyapunov approach is applied to control a variable-speed wind system connected to the utility grid.…”

Section: Introductionmentioning

confidence: 99%

“…Another control strategy using the super-twisting algorithm is shown in [10,11]. In [11], the Lyapunov approach is applied to control a variable-speed wind system connected to the utility grid.…”

Section: Introductionmentioning

confidence: 99%

A Real-Time SOSM Super-Twisting Technique for a Compound DC Motor Velocity Controller

Morfin

Castañeda

Valderrabano‐Gonzalez

et al. 2017

Energies

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Abstract:In this paper, a real-time robust closed-loop control scheme for controlling the velocity of a Direct Current (DC) motor in a compound connection is proposed. This scheme is based on the state-feedback linearization technique combined with a second-order sliding mode algorithm, named super-twisting, for stabilizing the system and achieving control goals. The control law is designed to track a periodic square reference signal, being one of the most severe tests applied to closed-loop systems. The DC motor drives a squirrel-cage induction generator which represents the load; this generator must work above the synchronous velocity to deliver the generated power towards the grid. A classical proportional-integral (PI) controller is designed for comparison purposes of the time-domain responses with the proposed second-order sliding mode (SOSM) super-twisting controller. This robust controller uses only a velocity sensor, as is the case of the PI controller, as the time derivative of the velocity tracking variable is estimated via a robust differentiator. Therefore, the measurements of field current and stator current, the signal from a load torque observer, and machine parameters are not necessary for the controller design. The validation and robustness test of the proposed controller is carried out experimentally in a laboratory, where the closed-loop system is subject to an external disturbance and a time-varying tracking signal. This test is performed in real time using a workbench consisting of a DC motor-Alternating Current (AC) generator group, a DC/AC electronic drive, and a dSPACE 1103 controller board.

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Lyapunov-Designed Super-Twisting Sliding Mode Control for Wind Energy Conversion Optimization

Cited by 185 publications

References 22 publications

Reaction rate reconstruction from biomass concentration measurement in bioreactors using modified second-order sliding mode algorithms

Reaction rate reconstruction from biomass concentration measurement in bioreactors using modified second-order sliding mode algorithms

Maximum Wind Power Tracking of Doubly Fed Wind Turbine System Based on Adaptive Gain Second-Order Sliding Mode

A Real-Time SOSM Super-Twisting Technique for a Compound DC Motor Velocity Controller

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