Reduced order functional observers with application to partial state estimation of linear systems with input delay

Mohajerpoor, Reza, Abdi, Hamid and Nahavandi, Saeid 2015, Reduced order functional observers with application to partial state estimation of linear systems with input delay, Journal of control and decision, vol. 2, no. 4, pp. 233-256, doi: 10.1080/23307706.2015.1066718.

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Title Reduced order functional observers with application to partial state estimation of linear systems with input delay
Author(s) Mohajerpoor, Reza
Abdi, HamidORCID iD for Abdi, Hamid
Nahavandi, SaeidORCID iD for Nahavandi, Saeid
Journal name Journal of control and decision
Volume number 2
Issue number 4
Start page 233
End page 256
Total pages 24
Publisher Taylor & Francis
Place of publication Oxford, Eng.
Publication date 2015
ISSN 2330-7706
Keyword(s) functional observer
unknown-input observer
time delay systems
functional observability
unknown-input functional observability
Summary Reduced order multi-functional observer design for multi-input multi-utput (MIMO) linear time-invariant (LTI) systems with constant delayed inputs is studied. This research is useful in the input estimation of LTI systems with actuator delay, as well as system monitoring and fault detection of these systems. Two approaches for designing an asymptotically stable functional observer for the system are proposed: delay-dependent and delay-free. The delay-dependent observer is infinite-dimensional, while the delay-free structure is finite-dimensional. Moreover, since the delay-free observer does not require any information on the time delay, it is more practical in real applications. However, the delay-dependent observer contains less restrictive assumptions and covers more variety of systems. The proposed observer design schemes are novel, simple to implement, and have improved numerical features compared to some of the other available approaches to design (unknown-input) functional observers. In addition, the proposed observers usually possess lower order than ordinary Luenberger observers, and the design schemes do not need the observability or detectability requirements of the system. The necessary and sufficient conditions of the existence of an asymptoticobserver in each scenario are explored. The extensions of the proposed observers to systems with multiple delayed-inputs are also discussed. Several numerical examples and simulation results are employed to support our theories.
Language eng
DOI 10.1080/23307706.2015.1066718
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, Northeastern University, China
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