A novel nonlinear observer‐based LQ control system design for wind energy conversion systems with single measurement

Vu, Van‐Phong; Duc, Ton

doi:10.1002/we.2345

Cited by 11 publications

(6 citation statements)

References 27 publications

(97 reference statements)

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“…It should be noted that because of the existence of a fault, the method in [13] is unable to apply to design observer for the system (23). In order to overcome this difficulty, in this paper, the argument technique is employed to is reconstructed the system (23) in the following form…”

Section: Reformulating the System (20) Results Inmentioning

confidence: 99%

“…For instance, an observer was designed to estimate both unmeasurable states and disturbances of the polynomial system in [31]. Applications of disturbance observer for WECSs have been investigated in [12], and [13] in which the wind speed was estimated by observer instead of using wind speed measuring instruments. However, a study in [12] exists a limitation is that the disturbance must be slow time-varying, otherwise, the methods in these papers were failed to synthesize the observer.…”

Section: Introductionmentioning

confidence: 99%

“…However, a study in [12] exists a limitation is that the disturbance must be slow time-varying, otherwise, the methods in these papers were failed to synthesize the observer. Moreover, the existence of the fault was not taken into consideration in either [12] or [13].…”

Section: Introductionmentioning

confidence: 99%

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Polynomial Observer-Based Controller Synthesis and Fault-Tolerant Control for Tracking Optimal Power of Wind Energy Conversion Systems

Ngo

Dung

et al. 2020

IEEE Access

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This paper proposes a new approach to design a fault-tolerant control (FTC) scheme for tracking the optimal power of wind energy conversion systems (WECSs). In this paper, the considered fault will not only impact on actuator but also sensors. As the fault severely affects the performance of WECSs, the FTC are required to be worked accurately and effectively. The polynomial observer, as a part of the proposed FTC system, is synthesized to estimate the aerodynamic torque, electromagnetic torque, and fault simultaneously without using sensors to measure. The information of these parameters is sent back to the LQR (Linear Quadratic Regular) controller of WECSs. Both fault and aerodynamic torque in this study are unnecessary to fulfil any constraint. It should be noted that WECSs is reconstructed to a new form based on the descriptor technique, then the observer will design for this new form instead of the original system. Based on Lyapunov methodology and with the aid of SOS (Sum-Of-Square) technique, the conditions for polynomial observer design are derived in the main theorems. Finally, the simulation results have proved the effectiveness and merit of the proposed FTC method.

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Section: Reformulating the System (20) Results Inmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Polynomial Observer-Based Controller Synthesis and Fault-Tolerant Control for Tracking Optimal Power of Wind Energy Conversion Systems

Ngo

Dung

et al. 2020

IEEE Access

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“…The angular shaft speed errors ω of the servomechanism based SDRE control with N = 0, 1, 2, 3 as well as the conventional SDRE control with N = 2 9,18,19 are shown in Figure 7. It should be noted that the LQR-based linear output feedback controller 9,38 nominal part of integral SMC 18,19 can also give satisfactory results. Also, the methods have used model uncertainty, modeling errors and noise compensation technique via HODO in feed-forward manner.…”

Section: Scenario Detailsmentioning

confidence: 97%

Maximum power tracking of variable‐speed wind energy conversion systems based on a near‐optimal servomechanism control system

Sarsembayev

Zholtayev

Duc

2022

Optim Control Appl Methods

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In this article, integral servomechanism based state‐dependent Riccati equation (SDRE) nonlinear output feedback control for wind energy conversion systems (WECSs) has been proposed. The numerical off‐line solving the proposed SDRE control requires to formulate algebraic Riccati equation and algebraic Lyapunov equation. This method approximates the solution of SDRE with Taylor series expansions which are solved with MATLAB solvers. The maximum power point tracking is achieved by defining relation between the optimal angular shaft speed and maximum power providing optimal tip speed ratio in variable‐speed WECSs. The proposed control can significantly reduce the angular shaft speed errors of the permanent magnet synchronous generator (PMSG)‐based WECSs without use of disturbance observers to compensate model uncertainties, modeling errors and noise as in the conventional SDRE control method. The simulation results demonstrate the superior results under mean average errors and root mean square error evaluation methods of the angular shaft speed of PMSG. The performance of the proposed integral servomechanism based SDRE control system has been improved by 80.67% and 80.05% in both scenarios compared to the conventional SDRE control based on compensation technique with disturbance observers.

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“…where • and (• • •) denotes the estimation and 1 st order derivative of the argument functions, respectively, L 01 , L 11 , L k 1 1 are aerodynamic observer gains. From this using (5) and (11) the estimation of angular shaft speed reference can be defined as followinĝ…”

Section: A Aerodynamic Torque and Angular Shaft Speed Reference Estimentioning

confidence: 99%

SDRE-Based Integral Sliding Mode Control for Wind Energy Conversion Systems

et al. 2020

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This paper proposes a novel integral sliding mode control (ISMC) scheme based on numerically solving a state-dependent Ricatti equation (SDRE), nonlinear feedback control for wind energy conversion systems (WECSs) with permanent magnet synchronous generators (PMSGs). Unlike the conventional ISMC, the proposed control system is designed with nonlinear near optimal feedback control part to take into account nonlinearities of the WECSs. The Taylor series are used to approximate the solutions of SDRE. More specifically, the nonlinear optimal feedback control has been obtained by solving continuous algebraic Ricatti and Lyapunov equations. Sliding variables are designed such that reaching phase is eliminated and stability is guaranteed. The proposed control method equipped with high-order observer can guarantee more superior results than linear techniques such as linear quadratic regulator (LQR), conventional ISMC, and first-order sliding-mode control (SMC) method. Increasing the number of terms of the Taylor's series of the proposed control law provides better approximation, therefore the performance is improved. However, this increases the computational burden. The effectiveness of the control method is validated via simulations in MATLAB/Simulink under nominal parameters and model uncertainties. INDEX TERMS Integral sliding mode control (ISMC), state-dependent Ricatti equation (SDRE), permanent magnet synchronous generator (PMSG), wind energy conversion system (WECS), variable-speed wind turbine, generalized high-order disturbance observer (GHODO), nonlinear output feedback, continuous approximation.

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A novel nonlinear observer‐based LQ control system design for wind energy conversion systems with single measurement

Cited by 11 publications

References 27 publications

Polynomial Observer-Based Controller Synthesis and Fault-Tolerant Control for Tracking Optimal Power of Wind Energy Conversion Systems

Polynomial Observer-Based Controller Synthesis and Fault-Tolerant Control for Tracking Optimal Power of Wind Energy Conversion Systems

Maximum power tracking of variable‐speed wind energy conversion systems based on a near‐optimal servomechanism control system

SDRE-Based Integral Sliding Mode Control for Wind Energy Conversion Systems

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