Proportional and derivative state-feedback decoupling of linear systems

We consider the row-by-row decoupling of linear time-invariant systems by proportional and derivative state feedback. Our contribution, with respect to previous results, is that our procedure is based on simple operator (say matrices) manipulations, without any need to use a canonical form. The only...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2000-04, Vol.45 (4), p.730-733
Main Authors: Estrada, M.B., Malabre, M.
Format: Article
Language:English
Subjects:
Control system synthesis
Control systems
Controllability
Decoupling
Derivatives
Linear systems
Mathematical analysis
Matrices
Operators
Output feedback
Pathology
PD control
Performance evaluation
Proportional control
State feedback
Strategy
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Summary:We consider the row-by-row decoupling of linear time-invariant systems by proportional and derivative state feedback. Our contribution, with respect to previous results, is that our procedure is based on simple operator (say matrices) manipulations, without any need to use a canonical form. The only assumptions for applying such a decoupling strategy are that the system is right invertible (which is a necessary condition to ensure solvability) and minimum phase. An illustrative example is proposed.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.847111