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© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Abstract

This paper proposes a stochastic linear parameter-varying (LPV) model approach to design a state feedback controller for three-phase, two-level inverters. To deal with the parameter changes, stochastic noise, and delays faced by the inverter, it is modeled as a stochastic LPV system with time delay. Stability analysis and control synthesis are conducted for the LPV system. With parameter-dependent Lyapunov functionals, a condition of sufficient stability for asymptotical mean-square stability is obtained. In addition, the slack matrix technique is employed to improve the feasibility and reduce the conservatism of the conditions. The obtained theoretical results are applied to the three-phase, two-level inverter, whose currents are treated as state variables and are controlled to reach the equilibrium point. The simulation results validate the effectiveness of the proposed theories and demonstrate the advantages of using the slack matrix.

Details

Title
Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model Approach
Author
Luo, Wensheng 1 ; Zhang, Ruifang 1   VIAFID ORCID Logo  ; Zhang, Jianwen 1 ; Wu, Ligang 1 ; Vazquez, Sergio 2   VIAFID ORCID Logo  ; Franquelo, Leopoldo G 2   VIAFID ORCID Logo 

 School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China; [email protected] (W.L.); [email protected] (R.Z.); [email protected] (J.Z.); [email protected] (L.W.) 
 School of Engineering, University of Seville, 41092 Seville, Spain; [email protected] 
First page
6142
Publication year
2024
Publication date
2024
Publisher
MDPI AG
e-ISSN
19961073
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3144114358
Copyright
© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.