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Article
Data sources: zbMATH Open
SIAM Journal on Control and Optimization
Article . 1988 . Peer-reviewed
Data sources: Crossref
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A Digital PI-Controller for Distributed Parameter Systems

A digital PI-controller for distributed parameter systems
Authors: Kobayashi, Toshihiro;

A Digital PI-Controller for Distributed Parameter Systems

Abstract

The author considers discrete-time multivariable tuning PI-controllers for exponentially stable distributed parameter systems with an unbounded input/output operator. The analysis of systems with discrete-time controls and observations shows that the input operator may be bounded in case of discrete-time controls, even if the output operator is unbounded for continuous-time controls. The integral feedback matrix, which has the same form as in case of continuous-time control, is determined purely by steady-state information. The heat and beam equation are treated by this theory.

Keywords

Discrete-time control/observation systems, Control/observation systems governed by partial differential equations, PDE in connection with control problems, Stabilization of systems by feedback, distributed parameter systems, Initial value problems for second-order hyperbolic equations, Rods (beams, columns, shafts, arches, rings, etc.), discrete-time multivariable tuning PI-controllers

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
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