Differentiator-Based Output-Feedback Controller for Uncertain Nonautonomous Nonlinear Systems With Unknown Relative Degree

Park, Jang-Hyun; Kim, Seong-Hwan; Park, Tae‐Sik

doi:10.1109/access.2020.3025562

Cited by 4 publications

(7 citation statements)

References 31 publications

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“…In this paper, the differentiator-based output feedback control scheme, as discussed in the introduction and detailed in [21,22,35], is employed for MPPT control of the WECS as represented by Equations ( 35)- (38). It is evident that the relative degree between the outputs ω and v rd is two, as v rd first appears in the second-order time derivative of ω.…”

Section: Mppt Controlmentioning

confidence: 99%

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Differentiator-Based Output Feedback MPPT Controller for DFIG Wind Energy Conversion Systems with Minimal System Information

Park

2023

Energies

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This paper introduces a novel differentiator-based maximum power point tracking (MPPT) controller for a wind energy conversion system (WECS) equipped with a doubly fed induction generator (DFIG). Building upon our previous algorithms, the proposed controller reduces the need for detailed system information and displays enhanced robustness against parameter variations and disturbances. The innovation lies in the elimination of the need for explicit functional forms or specific parameter values in the system’s dynamics, relying solely on relative degrees and control directions. Utilizing a higher-order switching differentiator (HOSD), this paper outlines a method for overestimating the time derivatives of system outputs, thereby simplifying both the controller design and stability analysis. Compared to existing solutions, the proposed method requires minimal information, offers simpler control law structures, and follows a systematic design approach with fewer design constants. Simulation results demonstrate the efficacy of the proposed controller in both tracking maximum power and regulating reactive power to zero, suggesting a more efficient and simplified approach to MPPT control in WECS.

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Section: Mppt Controlmentioning

confidence: 99%

“…To formulate the control law, the following HOSD is introduced, as per [21,35]: The comprehensive proof is presented in [33]. From Lemma 1, the following equations hold: Subsequently, the output feedback control input v rq is proposed as…”

Section: Mppt Controlmentioning

confidence: 99%

Differentiator-Based Output Feedback MPPT Controller for DFIG Wind Energy Conversion Systems with Minimal System Information

Park

2023

Energies

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“…Park [35] proposed the original HOSD and its dynamics is modified such that it has only one design constant in [33] as the following Lemma.…”

Section: A Time-derivatives Estimatormentioning

confidence: 99%

“…A new approach to control uncertain nonlinear systems has emerged in the form of differentiator-based controllers (DBCs) [30], [31], [32], [33] more recently. These DBCs present several benefits when compared to conventional controllers for the control of uncertain nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, the DBC does not rely on the backstepping design scheme, further reducing the complexity of the overall control scheme. Secondly, as reported in [33], the DBC can be applied to a wide range of nonlinear systems and the design of output-feedback controllers is made more feasible. The performance of the adopted differentiator (or time-derivative estimator) ensures either finite-time exact output tracking or asymptotic stability of the tracking error.…”

Section: Introductionmentioning

confidence: 99%

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Output-Feedback Prescribed Performance Decentralized Controller for Interconnected Large-Scale Uncertain Nonlinear Systems With Unknown Input Gain Sign

Park

2023

IEEE Access

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A novel decentralized output-feedback controller is proposed in this paper for large-scale uncertain general nonautonomous nonlinear systems without prior knowledge of the input gain's sign. The subsystems are considered to be completely unknown and nonautonomous, except for their known full relative degree. The proposed controller uses a higher-order switching differentiator to estimate the time-derivatives of the output tracking error, resulting in a low-complexity output-feedback prescribed performance controller that compensates for uncertainties, including high-frequency gain sign and unstructured uncertainties. It is mathematically proven that the output tracking error and its time-derivatives are all maintained within the prescribed regions. To demonstrate the effectiveness of the proposed controller, numerical simulations of two interconnected inverted pendulums are conducted. To the best of the authors' knowledge, this paper presents the first results on this problem.INDEX TERMS Large-scale nonlinear system, decentralized controller, prescribed performance control, unknown control sign.

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Decentralized Output-Feedback Controller for Uncertain Large-Scale Nonlinear Systems Using Higher-Order Switching Differentiator

2021

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A novel approximation-free differentiator-based output-feedback controller for uncertain large-scale systems (LSSs) is proposed. The considered LSS has nonautonomous and nonaffine-in-thecontrol subsystems which is yet to be tackled for decentralized output-feedback controller in the previous researches. The controller adopts a higher-order switching differentiator that can track the time-derivatives of a time-varying signal asymptotically. Through the differentiators, time-derivatives of output tracking errors are estimated and unstructured uncertainties in the controlled subsystems are compensated. The proposed decentralized output-feedback control formulae and the stability analysis are relatively simple in comparison to the previously proposed decentralized controllers. In this case, approximators such as fuzzy systems or neural networks are not required. The proposed controller guarantees that the tracking errors of the subsystems are asymptotically convergent to zeros and all the signals involved in the closed-loop systems are bounded.

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Differentiator-Based Output-Feedback Controller for Uncertain Nonautonomous Nonlinear Systems With Unknown Relative Degree

Cited by 4 publications

References 31 publications

Differentiator-Based Output Feedback MPPT Controller for DFIG Wind Energy Conversion Systems with Minimal System Information

Differentiator-Based Output Feedback MPPT Controller for DFIG Wind Energy Conversion Systems with Minimal System Information

Output-Feedback Prescribed Performance Decentralized Controller for Interconnected Large-Scale Uncertain Nonlinear Systems With Unknown Input Gain Sign

Decentralized Output-Feedback Controller for Uncertain Large-Scale Nonlinear Systems Using Higher-Order Switching Differentiator

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