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An improved weighted iterative algorithm for Riccati matrix equation in discrete-time Markov jump system

  • Harbin Institute of Technology Shenzhen
  • Shenzhen Polytechnic

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper has come up with a novel iterative method which can obtain the unique solutions of the discrete coupled Riccati matrix equations. Firstly, with introducing a weighted parameter between the latest estimated information and the past information, we propose an iterative algorithm to solve the discrete coupled Riccati matrix equations. Then, the weighted parameter can be replaced with a diagonal parameter matrix to accelerate the convergence rate of solving the matrix equations. It makes further shown that the matrix sequence in the proposed algorithm can converge to the unique solutions of the matrix equation. In the end, a numerical example is shown to illustrate the feasibility of the iterative algorithm.

Original languageEnglish
Title of host publicationProceeding - 2021 China Automation Congress, CAC 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1404-1408
Number of pages5
ISBN (Electronic)9781665426473
DOIs
StatePublished - 2021
Externally publishedYes
Event2021 China Automation Congress, CAC 2021 - Beijing, China
Duration: 22 Oct 202124 Oct 2021

Publication series

NameProceeding - 2021 China Automation Congress, CAC 2021

Conference

Conference2021 China Automation Congress, CAC 2021
Country/TerritoryChina
CityBeijing
Period22/10/2124/10/21

Keywords

  • Convergence
  • Markov jump system
  • Weighted iterative algorithm

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