Observer‐based controller synthesis for uncertain polynomial systems

Vu, Van‐Phong; Wang, Wen June

doi:10.1049/iet-cta.2017.0489

Cited by 17 publications

(8 citation statements)

References 37 publications

(106 reference statements)

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“…Therefore, the LMI technique in paper [17]- [19] is unable to apply to find the observer gains. Because of this reason, in this work, the Sum-Of-Square (SOS) tool is used to design the polynomial disturbance observer (26). To help readers easily understand, the definitions of SOS are presented by the following two propositions.…”

Section: The Estimation Of * and Are Computed By The Following Formularsmentioning

confidence: 99%

Robust MPPT Observer-Based Control System for Wind Energy Conversion System With Uncertainties and Disturbance

Ngo

et al. 2021

IEEE Access

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The problem of tracking the maximum power point for the wind energy conversion system (WECS) is taken into consideration in this paper. The WECSs in this article is simultaneously affected by the uncertainties and the arbitrary disturbance that cause the WECSs to be much more challenging to control. A new method to synthesize a polynomial disturbance observer for estimating the aerodynamic torque, wind speed, and electromagnetic torque without using sensors is proposed in this paper. Unlike the previous methods, in this work, both the uncertainties and the disturbance are estimated, then estimations of the uncertainties and disturbance are transmitted to the Linear Quadratic Regular (LQR) controller for eliminating the influences of the uncertainties and disturbance; and tracking the optimal power point of WECS. It should be noted that the uncertainties in this work are time-varying and both uncertainties and disturbance do not need to satisfy the bounded constraints. The wind speed and aerodynamic torque are arbitrary and unnecessary to fulfil the low-varying constraint or r th time derivative bound. On the basis of Lyapunov methodology and sum-of-square technique (SOS), the main theorems are derived to design the polynomial disturbance observer. Finally, the simulation results are provided to demonstrate the effectiveness and merit of the proposed method.

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Section: The Estimation Of * and Are Computed By The Following Formularsmentioning

confidence: 99%

Robust MPPT Observer-Based Control System for Wind Energy Conversion System With Uncertainties and Disturbance

Ngo

et al. 2021

IEEE Access

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“…Recently, an extended framework of a linear system called polynomial linear system was studied in many papers [33]- [37]. The polynomial linear systems have the same format with the linear system but the elements of the system matrices were with the polynomial forms instead of the constant values.…”

Section: Introductionmentioning

confidence: 99%

“…The polynomial linear systems have the same format with the linear system but the elements of the system matrices were with the polynomial forms instead of the constant values. There have been several papers designed the polynomial controller [33], [35]- [37] and filter [25] for the polynomial system. The advantage of modeling the nonlinear system under framework of the polynomial method is that some nonlinear parts of the nonlinear system are put inside the system matrices, the number of linearization terms are significantly reduced.…”

Section: Introductionmentioning

confidence: 99%

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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“…14,15,[17][18][19][20] For example, a polynomial observer was synthesized for the polynomial system with unknown inputs, 14 in which the effects of the unknown inputs were completely eliminated and the unmeasurable states were estimated asymptotically. Moreover, an approach to design an observer-based controller for the uncertain polynomial system was investigated in Vu et al, 20 where both unknown states and uncertainties were estimated, then feed-backed to the controller to stabilize the system. However, on the basis of our literature review, up to now, the polynomial system has not been employed to model the WECSs, and the polynomial observer has not been studied for WECSs in any previous works.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, with the support of SOS technique and SOS Tool in MATLAB, the controller and observer design for the polynomial system become easier and more effective. In past few years, there were a large number of studies focusing on controller and observer design for the polynomial system . For example, a polynomial observer was synthesized for the polynomial system with unknown inputs, in which the effects of the unknown inputs were completely eliminated and the unmeasurable states were estimated asymptotically.…”

Section: Introductionmentioning

confidence: 99%

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

Duc

2019

Wind Energy

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The issue of tracking the optimal power for wind energy conversion systems (WECSs) via regulating the rotor speed of the generator is taken into account in this study. Additionally, a novel polynomial observer is proposed for estimating not only aerodynamic torque in WECSs but also d‐axis and electromagnetic torque. Therefore, in this new approach, only the rotor speed of the generator is required to be measured instead of measuring all state variables. With the new observer form, the aerodynamic torque does not need to satisfy any constraints, which are mandatory in the previous methods. It should be noted that this methodology has not been investigated for the WECSs in any previous papers. To design a complete control system, a linear optimal control method cooperated with the polynomial observer is employed to track the optimal trajectory of a generator. Moreover, in this paper, the permanent magnet synchronous generator is used. In addition, on the basis of the Lyapunov theory and sum‐of‐square (SOS) technique, the conditions for observer synthesis are derived in the main theorems. Finally, the simulation results are provided to prove the effectiveness and merit of the proposed method.

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Observer‐based controller synthesis for uncertain polynomial systems

Cited by 17 publications

References 37 publications

Robust MPPT Observer-Based Control System for Wind Energy Conversion System With Uncertainties and Disturbance

Robust MPPT Observer-Based Control System for Wind Energy Conversion System With Uncertainties and Disturbance

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

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

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