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Partial Pole Placement using Static Output Feedback

Pusch, Manuel and Theis, Julian and Ossmann, Daniel (2020) Partial Pole Placement using Static Output Feedback. In: IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC World Congress, 12.-17. Juli 2020, Berlin.

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For many dynamical systems it is required to specifically shift individual poles, especially when these poles are lightly damped or even unstable. To achieve that, a preferably large number of effectors and measurements are installed leading to multivariable control problems. In this paper, a novel control approach is presented for placing either a single pole or a conjugate complex pole pair at a predefined location using rank-one static output feedback. Rank-one feedback can be interpreted as blending inputs and outputs to define a single input and single output loop with a desirable root locus along which the pole is moved. The corresponding controller synthesis is reduced to an unconstrained optimization problem in a single variable that aims at minimizing the feedback gain. Although the approach is derived for a single pole or conjugate complex pole pair, it is easily extended to multiple poles. To this end, a repeated design and superposition of rank-one feedback gains is proposed. It is further shown how residual system dynamics as well as subsequently designed gains can be efficiently decoupled from each other in order to avoid undesired interactions and spillover effects. The effectiveness of the proposed control approach is demonstrated by means of a numerical example.

Item URL in elib:https://elib.dlr.de/135040/
Document Type:Conference or Workshop Item (Speech)
Title:Partial Pole Placement using Static Output Feedback
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Pusch, ManuelManuel.Pusch (at) dlr.deUNSPECIFIED
Theis, JulianJ.Theis (at) dlr.deUNSPECIFIED
Ossmann, DanielDaniel.Ossmann (at) dlr.deUNSPECIFIED
Date:July 2020
Journal or Publication Title:IFAC Proceedings Volumes (IFAC-PapersOnline)
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:static feedback control, multivariable systems, pole assignment, blending of inputs and outputs, modal control
Event Title:IFAC World Congress
Event Location:Berlin
Event Type:international Conference
Event Dates:12.-17. Juli 2020
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems and Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of System Dynamics and Control > Aircraft System Dynamics
Deposited By: Pusch, Manuel
Deposited On:22 Jun 2020 11:32
Last Modified:22 Jun 2020 11:32

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