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Reduced order functional observers with application to partial state estimation of linear systems with input delay
journal contribution
posted on 2015-01-01, 00:00 authored by Reza Mohajerpoor, Hamid AbdiHamid Abdi, Saeid NahavandiReduced 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 asymptotic
observer 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.
observer 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.
History
Journal
Journal of control and decisionVolume
2Issue
4Pagination
233 - 256Publisher
Taylor & FrancisLocation
Oxford, Eng.Publisher DOI
ISSN
2330-7706eISSN
2330-7706Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2015, Northeastern University, ChinaUsage metrics
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