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Maximum Output Amplitude of Linear Systems for certain Input Constraints (Updated Version)
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2000 (English)Report (Other academic)
Abstract [en]

We determine the maximum output amplitude of a system, when the input is bounded by certain constraints. In particular, amplitude and rate of change (i.e. the first derivative) have to be bounded. We show properties of the worst case input and present an algorithm that allows construction of this input and calculates the maximum amplitude of the output. The solution of this problem is a necessary and important step within a couple of recently developed controller-design procedures, dealing with plants with hard-bounded inputs. Nevertheless, it is interesting as a system theoretic task itself and therefore stated separately.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2000. , 11 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2292
Keyword [en]
Hard constraints, Saturations, Rate constraints, Maximum output amplitude, linear systems
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-55743ISRN: LiTH-ISY-R-2292OAI: diva2:316593
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-10-03Bibliographically approved

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Automatic ControlThe Institute of Technology
Control Engineering

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ReferencesLink to record
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