A Periodic Observers Synthesis Approach for LDP Systems Based on Iteration

The problem of state observer design for the linear discrete-time periodic (LDP) system and its robust consideration are discussed in this paper. Applying the lifting technique and algebraic operations based on the well-known CG-algorithm, an iterative algorithm for periodic observer gain can be gen...

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Main Authors: Lingling Lv, Zhe Zhang, Lei Zhang
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8281461/
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author Lingling Lv
Zhe Zhang
Lei Zhang
author_facet Lingling Lv
Zhe Zhang
Lei Zhang
author_sort Lingling Lv
collection DOAJ
description The problem of state observer design for the linear discrete-time periodic (LDP) system and its robust consideration are discussed in this paper. Applying the lifting technique and algebraic operations based on the well-known CG-algorithm, an iterative algorithm for periodic observer gain can be generated. By optimizing the free parameter matrix in the proposed algorithm, an algorithm on the minimum norm and robust observer design for the LDP systems is presented. One numerical example is worked out to illustrate the effect of the proposed approaches.
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spelling doaj.art-0c0b9a8a8170443ba4772d1bd9fdb55f2022-12-21T19:55:12ZengIEEEIEEE Access2169-35362018-01-0168539854610.1109/ACCESS.2018.28026438281461A Periodic Observers Synthesis Approach for LDP Systems Based on IterationLingling Lv0Zhe Zhang1https://orcid.org/0000-0001-8995-7199Lei Zhang2Institute of Electric Power, North China University of Water Resources and Electric Power, Zhengzhou, ChinaInstitute of Electric Power, North China University of Water Resources and Electric Power, Zhengzhou, ChinaSchool of Computer and Information Engineering, Institute of Data and Knowledge Engineering, Henan University, Kaifeng, ChinaThe problem of state observer design for the linear discrete-time periodic (LDP) system and its robust consideration are discussed in this paper. Applying the lifting technique and algebraic operations based on the well-known CG-algorithm, an iterative algorithm for periodic observer gain can be generated. By optimizing the free parameter matrix in the proposed algorithm, an algorithm on the minimum norm and robust observer design for the LDP systems is presented. One numerical example is worked out to illustrate the effect of the proposed approaches.https://ieeexplore.ieee.org/document/8281461/Linear discrete-time periodic (LDP) systemsstate observerrobustnessiterative algorithm
spellingShingle Lingling Lv
Zhe Zhang
Lei Zhang
A Periodic Observers Synthesis Approach for LDP Systems Based on Iteration
IEEE Access
Linear discrete-time periodic (LDP) systems
state observer
robustness
iterative algorithm
title A Periodic Observers Synthesis Approach for LDP Systems Based on Iteration
title_full A Periodic Observers Synthesis Approach for LDP Systems Based on Iteration
title_fullStr A Periodic Observers Synthesis Approach for LDP Systems Based on Iteration
title_full_unstemmed A Periodic Observers Synthesis Approach for LDP Systems Based on Iteration
title_short A Periodic Observers Synthesis Approach for LDP Systems Based on Iteration
title_sort periodic observers synthesis approach for ldp systems based on iteration
topic Linear discrete-time periodic (LDP) systems
state observer
robustness
iterative algorithm
url https://ieeexplore.ieee.org/document/8281461/
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