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A new algorithm to design minimal multi-functional observers for linear systems

Mohajerpoor, Reza, Abdi, Hamid and Nahavandi, Saeid 2016, A new algorithm to design minimal multi-functional observers for linear systems, Asian journal of control, vol. 18, no. 3, pp. 842-857, doi: 10.1002/asjc.1179.

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Title A new algorithm to design minimal multi-functional observers for linear systems
Author(s) Mohajerpoor, Reza
Abdi, HamidORCID iD for Abdi, Hamid orcid.org/0000-0001-6597-7136
Nahavandi, Saeid
Journal name Asian journal of control
Volume number 18
Issue number 3
Start page 842
End page 857
Total pages 16
Publisher Wiley
Place of publication London, Eng.
Publication date 2016-05
ISSN 1934-6093
Summary Designing minimum possible order (minimal) observers for Multi-Input Multi-Output (MIMO) linear systems have always been an interesting subject. In this paper, a new methodology to design minimal multi-functional observers for Linear Time-Invariant (LTI) systems is proposed. The approach is applicable, and it also helps in regulating the convergence rate of the observed functions. It is assumed that the system is functional observable or functional detectable, which is less conservative than assuming the observability or detectability of the system. To satisfy the minimality of the observer, a recursive algorithm is provided that increases the order of the observer by appending the minimum required auxiliary functions to the desired functions that are going to be estimated. The algorithm increases the number of functions such that the necessary and sufficient conditions for the existence of a functional observer are satisfied. Moreover, a new methodology to solve the observer design interconnected equations is elaborated. Our new algorithm has advantages with regard to the other available methods in designing minimal order functional observers. Specifically, it is compared with the most common schemes, which are transformation based. Using numerical examples it is shown that under special circumstances, the conventional methods have some drawbacks. The problem partly lies in the lack of sufficient numerical degrees of freedom proposed by the conventional methods. It is shown that our proposed algorithm can resolve this issue. A recursive algorithm is also proposed to summarize the observer design procedure. Several numerical examples and simulation results illustrate the efficacy, superiority and different aspects of the theoretical findings.
Language eng
DOI 10.1002/asjc.1179
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2015, Chinese Automatic Control Society and John Wiley & Sons Australia
Free to Read? Yes
Free to Read Start Date 2017-06-01
Persistent URL http://hdl.handle.net/10536/DRO/DU:30073526

Document type: Journal Article
Collections: Centre for Intelligent Systems Research
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.