Continuous higher-order sliding mode control with time-varying gain for a class of uncertain nonlinear systems

This paper presents direct power control (DPC) strategies using the super-twisting sliding mode control (STSMC) applied to active and reactive power control of a doubly-fed induction generator (DFIG) supplied by a space vector modulation inverter for wind turbine system. Then, a control STSMC-DPC and SVM strategies are applied. The active and reactive powers that are generated by the DFIG will be decoupled by the orientation of the stator flux and controlled by super-twisting sliding mode control. Its simulated performance is then compared with conventional sliding mode control. The test of robustness of the controllers against machine parameters uncertainty will be tackled, and the simulations will be presented. Simulation results of the proposed controller (SMC-DPC) and (STSMC-DPC) scheme are compared for various step changes in the active and reactive power. This approach super-twisting sliding mode control is validated using the Matlab/Simulink software and the results of the simulation can prove the excellent performance of this control in terms of improving the quality of the energy supplied to the electricity grid.

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“…The trajectory of the system in the phase plane revolves around the origin, approaching it like a spiral [28,29].…”

Section: Twisting Algorithmmentioning

confidence: 99%

Super-twisting Sliding Mode Control of a Doubly-fed Induction Generator Based on the SVM Strategy

Yaichi

Semmah

Wira

et al. 2019

Period. Polytech. Elec. Eng. Comp. Sci.

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“…Higher-order sliding mode can cancel the requirement of compelling relative degree to be one, enhance sliding accuracy, attenuate chattering phenomenon, and make control effective continuous [13]. Super-twisting algorithm, called higher-order sliding mode of the second order, has been adopted to achieve maximum wind power tracking and reactive power regulation [14][15][16][17][18][19].…”

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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“…However, unlike other higher order sliding mode approaches, it does not require a higher order derivative of the sliding variable; hence, it is less sensitive to system noises. The algorithm takes the form:

0true N_{s w} = - {false(h^{T} bold-italicB false)}^{- 1} [K_{s w, 1} s^{1 / 2} sign false(s false) + \int K_{s w, 2} sign false(s false) d t] .

This STA switching control law consists of two terms (see Fig. ): The first term features a time‐varying gain that changes with

s^{1 / 2}

, producing a more gentle control demand when getting close to a sliding surface; the second term features an integrator that provides a continuous control signal and eliminates steady‐state error.…”

Section: Chattering Alleviationmentioning

confidence: 99%

Sliding mode heading control of an overactuated, hover‐capable autonomous underwater vehicle with experimental verification

Tanakitkorn

Wilson

Turnock

et al. 2017

Journal of Field Robotics

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A sliding mode heading control system is developed for overactuated, hover‐capable autonomous underwater vehicles (AUVs) operating over a range of forward speeds. A simplified switching function is introduced, and simulation studies are proposed accordingly. The results with this novel switching function show a significant improvement in the chattering problem when compared to other conventional switching function candidates. Studies on sensitivities to a range of hydrodynamic parameter uncertainties are presented, and the parameters that have major influences on the sliding mode control performance are highlighted. The proposed control system is also proven in the field trials to enhance vehicle response, yielding consistent, and robust performance over the entire range of vehicle's speeds, even when subjected to external disturbance. It also shows superior heading tracking performance when compared to a proportional‐derivative (PD) based approach implemented on the same vehicle. However, this improved performance requires intense control actions as a trade‐off, causing the AUV to expend more energy than with the P‐D approach. Path following trials, where the AUV is demanded to follow a set of GPS coordinates at the water surface, are presented. These demonstrate the applicability of the proposed heading control system in a practical operation. The presented SMC scheme can be applied to any vehicle straightforwardly, but the control allocation part may need to be modified regarding the actuator configuration of that vehicle.

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Continuous higher-order sliding mode control with time-varying gain for a class of uncertain nonlinear systems

Cited by 37 publications

References 35 publications

Super-twisting Sliding Mode Control of a Doubly-fed Induction Generator Based on the SVM Strategy

Super-twisting Sliding Mode Control of a Doubly-fed Induction Generator Based on the SVM Strategy

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

Sliding mode heading control of an overactuated, hover‐capable autonomous underwater vehicle with experimental verification

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