Implementation of Super-Twisting Control: Super-Twisting and Higher Order Sliding-Mode Observer-Based Approaches

Chalanga, Asif; Kamal, Shyam; Fridman, Leonid; Bandyopadhyay, B.; Moreno, Jaime A.

doi:10.1109/tie.2016.2523913

Cited by 408 publications

(176 citation statements)

References 29 publications

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“…As already mentioned, in the work presented in [21], it was shown that, with suitable gain values, the STA will ensure that ζ 3 and ζ 4 reach zero in finite-time.…”

Section: Electrical Torque Control Designmentioning

confidence: 83%

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A Novel Sliding Mode Control Scheme for a PMSG-Based Variable Speed Wind Energy Conversion System

2017

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This work proposes a novel control scheme for a variable speed wind turbine system based on the permanent magnet synchronous generator. Regions II and III for a wind speed profile are considered, hence the control is designed for maximizing the generated power from the wind turbine when the wind speed is below the nominal wind speed, and to saturate the generated power when the wind speed is above its nominal value in order to avoid damage to the system. Based on nonlinear models, the control scheme is also designed for introducing robustness to the closed-loop system. The pitch angle reference signal is also designed based on a mathematical model of the system, yielding in that way to a great performance of the wind turbine as predicted by the numeric simulations.

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“…As already mentioned, in the work presented in [21], it was shown that, with suitable gain values, the STA will ensure that ζ 3 and ζ 4 reach zero in finite-time.…”

Section: Electrical Torque Control Designmentioning

confidence: 83%

“…It has already been shown in [21] that, with appropriate gain values, the STA will ensure that z 2 and z 3 reach zero in finite-time. Then, when the sliding mode takes place, i.e., z 2 = z 3 = 0, the resulting sliding mode dynamics is as follows:ż…”

Section: Rotor Speed Control Design For Region IImentioning

confidence: 99%

A Novel Sliding Mode Control Scheme for a PMSG-Based Variable Speed Wind Energy Conversion System

2017

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“…A very effective SOSM technique applied in closed-loop systems is the super-twisting algorithm which is applicable to a system where control appears in the first derivative of the sliding variable [14,15]. The super-twisting algorithm has the following advantages: (1) it compensates uncertainties that are Lipschitz; (2) it requires only information of the sliding variable; (3) it provides finite-time convergence to the origin for the sliding variable and its time derivative simultaneously; and (4) it generates continuous control signals and reduces the chattering [15].…”

Section: Second-order Sliding Mode Super-twisting Controllermentioning

confidence: 99%

“…The super-twisting algorithm has the following advantages: (1) it compensates uncertainties that are Lipschitz; (2) it requires only information of the sliding variable; (3) it provides finite-time convergence to the origin for the sliding variable and its time derivative simultaneously; and (4) it generates continuous control signals and reduces the chattering [15].…”

Section: Second-order Sliding Mode Super-twisting Controllermentioning

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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“…Recently in [1], necessary and sufficient conditions for the existence of a Luenberger observer for an arbitrary order DAE were given, exploiting the concept of impulse observability. This paper considers a 2-sliding mode observer exploiting super-twisting structures [11], [12]. The use of state estimators for the detection of faults or exogenous signals is common in power network applications.…”

Section: Introductionmentioning

confidence: 99%

Second‐order sliding mode observers for fault reconstruction in power networks

Mellucci

Menon

Edwards

et al. 2017

IET Control Theory & Applications

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This paper proposes a 2-sliding mode observer to detect and reconstruct a certain class of load altering faults in a power network. The observer design is based on the recently proposed multivariable super-twisting structure. The IEEE benchmark power networks used to test the scheme are modelled as a semi-explicit class of differential algebraic equations (DAEs). For the purpose of developing the detection scheme, only the phase angles of the generators are measured, which represent a subset of the differential states of the DAEs. The objective is to estimate the differential states (the phase angles and frequencies of the generators), the algebraic states (the phase angles of the load bus tensions) and to reconstruct a class of load altering faults affecting the network. The proposed observer is assessed in simulation on two IEEE benchmarks: the 9-bus and 14-bus networks, so as to verify its capability to correctly estimate the differential and algebraic states of the network in spite of its complexity and uncertainty. Moreover, the capability of the proposed scheme to detect the presence of a load altering fault, to exactly identify its position in the network, and to precisely reconstruct the shape of the fault itself is shown and discussed.

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Implementation of Super-Twisting Control: Super-Twisting and Higher Order Sliding-Mode Observer-Based Approaches

Cited by 408 publications

References 29 publications

A Novel Sliding Mode Control Scheme for a PMSG-Based Variable Speed Wind Energy Conversion System

A Novel Sliding Mode Control Scheme for a PMSG-Based Variable Speed Wind Energy Conversion System

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

Second‐order sliding mode observers for fault reconstruction in power networks

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