In this paper, the implementation of sliding mode control algorithms for the case of power grid current regulation in a T-type bidirectional inverter system connected via an LCL filter to the power grid is proposed and presented. A mathematical model of such a system has been proposed, which was then implemented in a simulation environment. The method of designing sliding controllers using the Lyapunov method to conduct a stability proof is presented. The article includes a comparative analysis of two sliding mode control algorithms: the classic one, which includes equivalent control, discontinuous part, and proportional reaching law, and the hybrid one, in which the discontinuous part and reaching law were modified.

This paper contains an example of a simulation implementation of sliding mode control algorithms for the problem of adjusting the linear position of a quadrotor. A mathematical model of the drone was proposed, which was then implemented in a simulation environment. The method of designing sliding mode controllers using the Lyapunov method in order to improve stability was presented. A cascade system based entirely on sliding mode control algorithms is introduced. The article ends with a comparative analysis of simulation test results of classical control systems and controllers based on sliding mode control.

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.

Artykuł zawiera przykład realizacji symulacyjnej algorytmów sterowania ślizgowego dla przypadku problemu regulacji położeń kątowych drona czterowirnikowego. Zaproponowany został model matematyczny drona, który następnie zaimplementowano w środowisku symulacyjnym. Przedstawiono sposób projektowania regulatorów ślizgowych korzystając z metody Lapunowa celem przeprowadzenia dowodu stabilności układu. Artykuł zakończony został analizą porównawczą wyników symulacyjnych układów regulacji klasycznych z regulatorami opartymi o sterowanie ślizgowe.

Praca zawiera propozycję rozwiązania problemu obecności zaburzeń napięciowych w systemie mikrosieci przy wykorzystaniu odpowiedniego algorytmu sterowania w postaci nieprzełączającego dyskretnego ślizgowego regulatora prądu sieciowego. Zaprojektowany został model matematyczny filtra LCL, który stanowi element pośredni pomiędzy siecią energetyczną a falownikiem sieciowym. Na podstawie tego modelu opracowany został algorytm sterowania, którego działanie przetestowane zostało za pomocą zaawansowanego modelu symulacyjnego. W eksperymencie symulacyjnym uwzględniono postać zaburzenia napięciowego pomierzonego w warunkach rzeczywistych, w zakładzie przemysłowym. Zakończenie artykułu stanowi prezentacja uzyskanych wyników przeprowadzonych testów.

The paper proposes a new hybrid sliding mode control algorithm based on saturated-type reaching law for current regulation of a grid-following inverter in a microgrid connected to the power grid, ensuring system stability under severe main grid voltage disturbances. The system contains the control system, T-type inverter, LCL filter, and DC source. First, a mathematical model of the above-described microgrid structure is proposed. The designs of well-known SMC algorithms used to control the power grid current are presented. This work introduces a new hybrid SMC method based on saturated-type reaching law, which is later used in the control system for a specific test scenario including voltage grid disturbance. For this case, an additional and extended stability analysis is conducted to obtain the controller parameters that shall provide the system with greater robustness and a faster convergence to the desired state after prior displacement. The primary objective of this study is to enhance the quality of transmitted energy in a power electronic system by means of a novel sliding mode control approach with a hybrid reaching law, while reducing the system’s sensitivity to selected external disturbances.