Discrete Adaptive Nonswitching Reaching Law Algorithm for Sliding Mode Control of a Grid-Following Inverter

This paper extends one of the nonswitching-type reaching laws for discrete-time sliding mode control. The control task under consideration is the regulation of the grid current of the grid-following power inverter. A mathematical model of a plant is presented as an example of a microgrid. This syste...

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Vydané v:	Energies (Basel) Ročník 18; číslo 17; s. 4696
Hlavní autori:	Sawiński, Albert, Leśniewski, Piotr, Chudzik, Piotr
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Basel MDPI AG 01.09.2025
Predmet:	adaptive control Algorithms Analysis Control algorithms control laws Control systems Controllers discrete-time systems Energy storage inverters Laws, regulations and rules Mathematical models Process controls robust control Simulation sliding mode control Unmanned aerial vehicles Washington, D.C
ISSN:	1996-1073, 1996-1073
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Abstract	This paper extends one of the nonswitching-type reaching laws for discrete-time sliding mode control. The control task under consideration is the regulation of the grid current of the grid-following power inverter. A mathematical model of a plant is presented as an example of a microgrid. This system contains a T-type inverter, LCL filter, DC source, power grid connection and control system. The system tests were performed in a simulation environment. First, the methods known in the literature for implementing continuous sliding mode control are presented for the described problem, including stability analysis and implementation. Secondly, the well-known discrete sliding mode control algorithm based on the nonswitching reaching law type is discussed. The main part of this article consists of a proposed modification to the above algorithm. We consider the use of two separate regulation mechanisms: an adaptation of a specific control law parameter responsible for limiting the control signal and a mechanism for reducing the steady-state error. The aim of these procedures is to increase the quality of control, which, in turn, leads to an increase in the quality of energy transmitted in grids. The stability analysis is presented, as well as the simulation results. Finally, the results of all methods are compared and discussed, with conclusions drawn.
AbstractList	This paper extends one of the nonswitching-type reaching laws for discrete-time sliding mode control. The control task under consideration is the regulation of the grid current of the grid-following power inverter. A mathematical model of a plant is presented as an example of a microgrid. This system contains a T-type inverter, LCL filter, DC source, power grid connection and control system. The system tests were performed in a simulation environment. First, the methods known in the literature for implementing continuous sliding mode control are presented for the described problem, including stability analysis and implementation. Secondly, the well-known discrete sliding mode control algorithm based on the nonswitching reaching law type is discussed. The main part of this article consists of a proposed modification to the above algorithm. We consider the use of two separate regulation mechanisms: an adaptation of a specific control law parameter responsible for limiting the control signal and a mechanism for reducing the steady-state error. The aim of these procedures is to increase the quality of control, which, in turn, leads to an increase in the quality of energy transmitted in grids. The stability analysis is presented, as well as the simulation results. Finally, the results of all methods are compared and discussed, with conclusions drawn.
Audience	Academic
Author	Sawiński, Albert Leśniewski, Piotr Chudzik, Piotr
Author_xml	– sequence: 1 givenname: Albert orcidid: 0000-0001-8310-9033 surname: Sawiński fullname: Sawiński, Albert – sequence: 2 givenname: Piotr orcidid: 0000-0003-4131-6928 surname: Leśniewski fullname: Leśniewski, Piotr – sequence: 3 givenname: Piotr orcidid: 0000-0002-5625-2915 surname: Chudzik fullname: Chudzik, Piotr
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SubjectTerms	adaptive control Algorithms Analysis Control algorithms control laws Control systems Controllers discrete-time systems Energy storage inverters Laws, regulations and rules Mathematical models Process controls robust control Simulation sliding mode control Unmanned aerial vehicles
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Title	Discrete Adaptive Nonswitching Reaching Law Algorithm for Sliding Mode Control of a Grid-Following Inverter
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