Functional observer design for retarded system with interval time-varying delays

Mohajerpoor, Reza, Shanmugam, Lakshmanan, Abdi, Hamid, Nahavandi, Saeid and Saif, Mehdrad 2017, Functional observer design for retarded system with interval time-varying delays, International journal of systems science, vol. 48, no. 5, pp. 1060-1070, doi: 10.1080/00207721.2016.1236422.

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Title Functional observer design for retarded system with interval time-varying delays
Author(s) Mohajerpoor, Reza
Shanmugam, LakshmananORCID iD for Shanmugam, Lakshmanan
Abdi, HamidORCID iD for Abdi, Hamid
Nahavandi, SaeidORCID iD for Nahavandi, Saeid
Saif, Mehdrad
Journal name International journal of systems science
Volume number 48
Issue number 5
Start page 1060
End page 1070
Total pages 11
Publisher Taylor & Francis
Place of publication Abingdon, Eng.
Publication date 2017
ISSN 0020-7721
Keyword(s) Functional observers
interval time delay
Wirtinger-based inequality
Lyapunov–Krasovskii functional
linear matrix inequality
Science & Technology
Automation & Control Systems
Computer Science, Theory & Methods
Operations Research & Management Science
Computer Science
Lyapunov-Krasovskii functional
Summary Functional observers are the key solution to numerous practical estimation problems, wherein full-order observers cannot be applied. This paper studies the novel problem of minimum-order functional observer design for time-delay systems with interval time-varying state delays. Moreover, unlike the majority of the existing papers on this topic, which consider either small or unknown delay rates, the delay derivative is assumed to possess an upper bound not limited to be less than one. A new augmented Lyapunov–Krasovskii functional with triple integral terms is employed to derive less conservative delay-dependent sufficient conditions for the stability of the closed-loop observer dynamics, which are expressed in terms of linear matrix inequalities. In addition, contemporary techniques such as Wirtinger-based single- and double-integral inequalities, delay splitting scheme, reciprocally convex approach and convex combination technique, along with the descriptor transformation, are adopted in constructing the new stability criterion that is exploited for obtaining the observer parameters. A genetic-algorithm-based searching schema is proposed to optimally tune a number of weighting parameters in the observer design procedure. Numerical examples and simulation results are demonstrated to confirm the effectiveness and the superiority of the proposed observer design algorithm.
Language eng
DOI 10.1080/00207721.2016.1236422
Field of Research 099999 Engineering not elsewhere classified
08 Information And Computing Sciences
09 Engineering
01 Mathematical Sciences
Socio Economic Objective 0 Not Applicable
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2016, Informa UK Limited
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