Phan-Thanh Nguyen
Ho Chi Minh City University of Technology and Education

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Attenuated-chattering adaptive second order variable structure controller for mismatched uncertain systems Phan-Thanh Nguyen; Trieu Ton Ngoc; Cong-Trang Nguyen
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 20, No 3: June 2022
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v20i3.23317

Abstract

In this paper, an attenuated-chattering adaptive second order variable structure controller (ACASOVSC) is proposed for mismatched uncertain systems using a Moore-Penrose inverse method. The key achievements of this study include three tasks: 1) influence of the chattering in control input is diminished, 2) finite-time convergence of system states is guaranteed, and 3) external disturbance is generally assumed to be unknown in advance. Firstly, a switching manifold which comprises only output information is defined. Secondly, a reduced-order variable structure estimator (ROVSE) with lower dimension is designed to reduce the computation burden and enhance the robustness. Thirdly, an adaptive approach is used to guess the upper bound of the unknown exogenous disturbance. Next, an ACASOVSC is investigated for attenuating the chattering phenomenon and stabilizing the system. Then, a novel linear matrix inequality (LMI) constraint by the Lyapunov technique is given such that the plant is entirely invariant to matched uncertainties and asymptotically stable. Finally, a mathematical illustration is simulated, which exhibits the usefulness and the feasible application of the proposed method.
Attenuated-chattering adaptive second order variable structure controller for mismatched uncertain systems Phan-Thanh Nguyen; Trieu Ton Ngoc; Cong-Trang Nguyen
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 20, No 3: June 2022
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v20i3.23317

Abstract

In this paper, an attenuated-chattering adaptive second order variable structure controller (ACASOVSC) is proposed for mismatched uncertain systems using a Moore-Penrose inverse method. The key achievements of this study include three tasks: 1) influence of the chattering in control input is diminished, 2) finite-time convergence of system states is guaranteed, and 3) external disturbance is generally assumed to be unknown in advance. Firstly, a switching manifold which comprises only output information is defined. Secondly, a reduced-order variable structure estimator (ROVSE) with lower dimension is designed to reduce the computation burden and enhance the robustness. Thirdly, an adaptive approach is used to guess the upper bound of the unknown exogenous disturbance. Next, an ACASOVSC is investigated for attenuating the chattering phenomenon and stabilizing the system. Then, a novel linear matrix inequality (LMI) constraint by the Lyapunov technique is given such that the plant is entirely invariant to matched uncertainties and asymptotically stable. Finally, a mathematical illustration is simulated, which exhibits the usefulness and the feasible application of the proposed method.
Distributed secondary control for proportional power sharing and DC bus voltage restoration in standalone DC microgrid Phan-Thanh Nguyen; Duc Minh Pham
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 22, No 3: June 2024
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v22i3.25893

Abstract

This article proposes a distributed secondary control scheme based on the voltage-shifting method for standalone direct current (DC) microgrids to enforce proportional power-sharing under the imbalance of the feeder line impedances and compensate for the DC bus voltage error caused by the droop control. Secondary control will be implemented on local controllers to increase reliability. A low-bandwidth communication network will also be needed to exchange converters’ information. Using information from the communication network, the reference voltage for the primary control will be adjusted to compensate for the droop control and line impedance influences. The appropriate voltage shifting terms will be determined by the delta iteration method. The proposed control will be evaluated with simulations using PLECS software.