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Partial state estimation: a new design approach
conference contributionposted on 2014-01-01, 00:00 authored by Reza Mohajerpoor, Hamid AbdiHamid Abdi, Saeid Nahavandi
here are three different approaches for functional observer design for Linear Time-Invariant (LTI) systems within the literature. One of the most common methods has been proposed by Aldeen  and further developed by others. We found several examples in which the necessary and sufficient conditions for the existence of a functional observer are actually not sufficient for this methodology. This finding motivated us to develop a new methodology for designing functional observers. Our new method provides enough degrees of freedom for the observer design parameter and it improves the weakness within the Aldeen's method in solving the observer coupled matrix equations. In this paper, we present the reason and an example to show the insufficiency of the former method. Furthermore, we present our new developed methodology. An illustrative algorithm also describes the design procedure step by step. A numerical example and simulation results support our findings and performance of the proposed method.
EventControl Automation Robotics and Vision. Conference (13th : 2014 : Singapore)
Pagination752 - 757
Place of publicationPiscataway, N.J.
Publication classificationE Conference publication; E1 Full written paper - refereed
Copyright notice2014, IEEE
Title of proceedings2014 13th International Conference on Control Automation Robotics and Vision, ICARCV 2014
CategoriesNo categories selected
Science & TechnologyTechnologyAutomation & Control SystemsComputer Science, Artificial IntelligenceEngineering, Electrical & ElectronicRoboticsComputer ScienceEngineeringFunctional observerSylvester equationgeneralized inverseobservability and detectabilityTIME-DELAY SYSTEMSFUNCTIONAL OBSERVERSLINEAR-SYSTEMSMULTIVARIABLE SYSTEMSUNKNOWN INPUTSEXISTENCE