H∞ performance for load frequency control systems with random delays
This paper investigates the problem of $ {H_\infty } $ performance analysis for PI-type load frequency control (LFC) of power systems with random delays. By taking the probability distribution characteristic of communication delays into account in the LFC design, the power systems with a PI controll...
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Online Access: | http://dx.doi.org/10.1080/21642583.2021.1893860 |
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doaj-272eaefb33f140cc88521dbf7cba404d2021-03-18T15:46:31ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832021-01-019124325910.1080/21642583.2021.18938601893860H∞ performance for load frequency control systems with random delaysNan Wang0Wei Qian1Xiaozhuo Xu2Henan Polytechnic UniversityHenan Polytechnic UniversityHenan Polytechnic UniversityThis paper investigates the problem of $ {H_\infty } $ performance analysis for PI-type load frequency control (LFC) of power systems with random delays. By taking the probability distribution characteristic of communication delays into account in the LFC design, the power systems with a PI controller are modelled as stochastic time-delay systems. Furthermore, a delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed, and a new extended reciprocally convex matrix inequality combining Wirtinger-based integral inequality with convex combination approach is utilized to reduce the conservatism of main results. As a result, less conservative $ {H_\infty } $ performance criteria are derived, which guarantee the asymptotically stable in the mean-square of the considered systems. Numerical examples are also provided to illustrate the superiority of our proposed methods.http://dx.doi.org/10.1080/21642583.2021.1893860random delays $ {h_\infty } $ performanceload frequency control (lfc) systemslyapunov-krasovskii functional (lkf)extended reciprocally convex matrix inequality |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nan Wang Wei Qian Xiaozhuo Xu |
spellingShingle |
Nan Wang Wei Qian Xiaozhuo Xu H∞ performance for load frequency control systems with random delays Systems Science & Control Engineering random delays $ {h_\infty } $ performance load frequency control (lfc) systems lyapunov-krasovskii functional (lkf) extended reciprocally convex matrix inequality |
author_facet |
Nan Wang Wei Qian Xiaozhuo Xu |
author_sort |
Nan Wang |
title |
H∞ performance for load frequency control systems with random delays |
title_short |
H∞ performance for load frequency control systems with random delays |
title_full |
H∞ performance for load frequency control systems with random delays |
title_fullStr |
H∞ performance for load frequency control systems with random delays |
title_full_unstemmed |
H∞ performance for load frequency control systems with random delays |
title_sort |
h∞ performance for load frequency control systems with random delays |
publisher |
Taylor & Francis Group |
series |
Systems Science & Control Engineering |
issn |
2164-2583 |
publishDate |
2021-01-01 |
description |
This paper investigates the problem of $ {H_\infty } $ performance analysis for PI-type load frequency control (LFC) of power systems with random delays. By taking the probability distribution characteristic of communication delays into account in the LFC design, the power systems with a PI controller are modelled as stochastic time-delay systems. Furthermore, a delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed, and a new extended reciprocally convex matrix inequality combining Wirtinger-based integral inequality with convex combination approach is utilized to reduce the conservatism of main results. As a result, less conservative $ {H_\infty } $ performance criteria are derived, which guarantee the asymptotically stable in the mean-square of the considered systems. Numerical examples are also provided to illustrate the superiority of our proposed methods. |
topic |
random delays $ {h_\infty } $ performance load frequency control (lfc) systems lyapunov-krasovskii functional (lkf) extended reciprocally convex matrix inequality |
url |
http://dx.doi.org/10.1080/21642583.2021.1893860 |
work_keys_str_mv |
AT nanwang hperformanceforloadfrequencycontrolsystemswithrandomdelays AT weiqian hperformanceforloadfrequencycontrolsystemswithrandomdelays AT xiaozhuoxu hperformanceforloadfrequencycontrolsystemswithrandomdelays |
_version_ |
1724215547591131136 |