Quantized H Output Control of Linear Markov Jump Systems in Finite Frequency Domain

Mouquan Shen, Sing Kiong Nguang, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)

Abstract

Incorporating the disturbance frequency into system analysis and synthesis, this paper is dedicated to the quantized H static output control of linear Markov jump systems. The output quantization is transformed into a sector bound form, and the finite frequency performance is handled by Parseval's theorem. With the aid of Finsler's lemma, sufficient conditions for the resulting closed-loop system are first established to satisfy the required finite frequency performance. To treat the static output feedback control problem in the framework of linear matrix inequalities, a new strategy is developed to decompose the coupling among Lyapunov variables, controller gain, and system matrices. In contrast to the existing results in the literature, no additional assumptions are imposed on the system matrices. Numerical examples are presented to demonstrate the validity of the established results.

Original languageEnglish
Article number8294300
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume49
Issue number9
DOIs
Publication statusPublished - 2019 Sept

Bibliographical note

Funding Information:
Manuscript received October 17, 2017; revised December 17, 2017; accepted January 11, 2018. Date of publication February 19, 2018; date of current version August 16, 2019. This work was supported in part by the National Natural Science Foundation of China under Grant 61403189 and Grant 61773200, in part by the Peak of Six Talents in Jiangsu Province under Grant 2015XXRJ-011, in part by the China Postdoctoral Science Foundation under Grant 2015M570397, in part by the Doctoral Foundation of Ministry of Education of China under Grant 20133221120012, in part by the Natural Science Foundation of Jiangsu Province of China, under Grant BK20130949, and in part by the National Research Foundation of Korea through the Ministry of Science, ICT, and Future Planning under Grant NRF-2017R1A1A1A05001325. This paper was recommended by Associate Editor Z. Wang. (Corresponding author: Choon Ki Ahn.) M. Shen is with the College of Automation and Electrical Engineering, Nanjing Technology University, Nanjing 211816, China (e-mail: mouquanshen@gmail.com).

Publisher Copyright:
© 2018 IEEE.

Keywords

  • Finite frequency
  • Markov jump system (MJS)
  • quantization
  • static output feedback

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering

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