Sliding mode controller design via delay-dependent H∞ stabilization criterion for load frequency regulation

Subrat Kumar Pradhan; Dushmanta Kumar Das

doi:10.1186/s41601-023-00322-w

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Sliding mode controller design via delay-dependent H∞ stabilization criterion for load frequency regulation

Original Research | 更新时间：2026-09-30

- Sliding mode controller design via delay-dependent H∞ stabilization criterion for load frequency regulation
- Protection and Control of Modern Power Systems Vol. 8, Issue 3, Pages: 1-27(2023)
- 作者机构：
  
  1. Department of Electrical Engineering, Indira Gandhi Institute of Technology, Sarang, Dhenkanal,India
  2. Department of Electrical and Electronics Engineering, National Institute of Technology Nagaland, Dimapur,India
- 作者简介：
- 基金信息：
- DOI：10.1186/s41601-023-00322-w
  CLC：
- Published：01 July 2023
- 稿件说明：
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Subrat Kumar Pradhan, Dushmanta Kumar Das. Sliding mode controller design via delay-dependent H∞ stabilization criterion for load frequency regulation[J]. Protection and Control of Modern Power Systems, 2023, 8(3): 1-27.
DOI：

Subrat Kumar Pradhan, Dushmanta Kumar Das. Sliding mode controller design via delay-dependent H∞ stabilization criterion for load frequency regulation[J]. Protection and Control of Modern Power Systems, 2023, 8(3): 1-27. DOI： 10.1186/s41601-023-00322-w.

摘要

This work presents a control approach based on sliding-mode-control (SMC) to design robust <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H_{\infty}$ state feedback controllers for load frequency regulation of delayed interconnected power system (IPS) with parametric uncertainties. Considering both state feedback control strategy and delayed feedback control strategy

two SMC laws are proposed. The proposed control laws are designed to improve the stability and disturbance rejection performance of delayed IPS

while stabilization criteria in the form of linear matrix inequality are derived by choosing a Lyapunov-Krasovskii functional. An artificial time-delay is incorporated in the control law design of the delayed feedback control structure to enhance the controller performance. A numerical example is considered to study the control performance of the proposed controllers and simulation results are provided to observe the dynamic response of the IPS.

Abstract

This work presents a control approach based on sliding-mode-control (SMC) to design robust H∞ state feedback controllers for load frequency regulation of delayed interconnected power system (IPS) with parametric uncertainties. Considering both state feedback control strategy and delayed feedback control strategy

two SMC laws are proposed. The proposed control laws are designed to improve the stability and disturbance rejection performance of delayed IPS

while stabilization criteria in the form of linear matrix inequality are derived by choosing a Lyapunov–Krasovskii functional. An artifcial time-delay is incorporated in the control law design of the delayed feedback control structure to enhance the controller performance. A numerical example is considered to study the control performance of the proposed controllers and simulation results are provided to observe the dynamic response of the IPS.

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