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Partial state estimation for linear systems with output and input time delays.

Version 2 2024-06-03, 11:40
Version 1 2015-01-20, 13:55
journal contribution
posted on 2024-06-03, 11:40 authored by QP Ha, ND That, PT Nam, Hieu TrinhHieu Trinh
This paper deals with the problem of partial state observer design for linear systems that are subject to time delays in the measured output as well as the control input. By choosing a set of appropriate augmented Lyapunov-Krasovskii functionals with a triple-integral term and using the information of both the delayed output and input, a novel approach to design a minimal-order observer is proposed to guarantee that the observer error is ε-convergent with an exponential rate. Existence conditions of such an observer are derived in terms of matrix inequalities for the cases with time delays in both the output and input and with output delay only. Constructive design algorithms are introduced. Numerical examples are provided to illustrate the design procedure, practicality and effectiveness of the proposed observer.

History

Journal

ISA Transactions

Volume

53

Pagination

327-334

Location

New York, United States

eISSN

1879-2022

Language

eng

Publication classification

C Journal article, C1 Refereed article in a scholarly journal

Copyright notice

2014, ISA - Instrumentation, Systems, and Automation Society

Issue

2

Publisher

ISA - Instrumentation, Systems, and Automation Society