@article{39a57ba340694ef6aee99d9654744919,
title = "Observer-based H∞ control design for singular switching semi-Markovian jump systems with random sensor delays",
abstract = "This paper studies the problem of H∞ control design for a class of singular switching semi-Markovian jump systems, in which the transition rates of jumping process are uncertain and the output measurements suffer from random sensor delays. Firstly, a Luenberger observer is designed to estimate the system state components, based on which an error dynamic is obtained. Then, stochastic stability analysis for the overall closed-loop system is given based on the upper and lower bounds of transition rates. Further, the state feedback controller gain matrices are given by solving a set of sufficient conditions in terms of strict linear matrix inequalities (LMIs), which also guarantee the closed-loop system to be stochastically stabilizable and has a prescribed H∞ performance index γ. Finally, a numerical example is provided to verify the effectiveness of the obtained result.",
keywords = "H control, Linear matrix inequalities, Observer design, Semi-markovian jump systems, Singular systems",
author = "Zhengtian Wu and Bo Li and Cunchen Gao and Baoping Jiang",
note = "Funding Information: This work is supported by the National Natural Science Foundations of China (No. 61803279, 71771161, 61672371,61472267); Natural Science Foundation of Jiangsu Province under grant number BK20170342; partially supported by the Natural Science Foundation of Shandong Province under grantZR2018PF010, ZR2019MF027; foundation of Key Laboratory in Science and Technology Development Project of Suzhou under grant nos. SZS201813, SZS201609; Key Research & Development Plan of Jiangsu Province (No. BE2017663); Aeronautical Science Foundation (20151996016); Jiangsu Key Disciplines of Thirteen Five-Year Plan (20168765) and the China Scholarship Council. Funding Information: This work is supported by the National Natural Science Foundations of China (No. 61803279 , 71771161 , 61672371 , 61472267 ); Natural Science Foundation of Jiangsu Province under grant number BK20170342 ; partially supported by the Natural Science Foundation of Shandong Province under grant ZR2018PF010 , ZR2019MF027 ; foundation of Key Laboratory in Science and Technology Development Project of Suzhou under grant nos. SZS201813 , SZS201609 ; Key Research & Development Plan of Jiangsu Province (No. BE2017663 ); Aeronautical Science Foundation ( 20151996016 ); Jiangsu Key Disciplines of Thirteen Five-Year Plan ( 20168765 ) and the China Scholarship Council . Publisher Copyright: {\textcopyright} 2019 ISA",
year = "2022",
month = may,
doi = "10.1016/j.isatra.2019.09.002",
language = "English",
volume = "124",
pages = "290--300",
journal = "ISA Transactions",
issn = "0019-0578",
publisher = "International Society of Automation",
}