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A Youla–Kučera parameterization approach to output feedback relatively optimal control

Blanchini, Franco
•
Colaneri, Patrizio
•
Fujisaki, Yasumasa
altro
PELLEGRINO, FELICE ANDREA
2015
  • journal article

Periodico
SYSTEMS & CONTROL LETTERS
Abstract
This paper presents a continuous time solution to the problem of designing a relatively optimal control, precisely, a dynamic control which is optimal with respect to a given initial condition and is stabilizing for any other initial state. This technique provides a drastic reduction of the complexity of the controller and successfully applies to systems in which (constrained) optimality is necessary for some “nominal operation” only. The technique is combined with a pole assignment procedure. It is shown that once the closed-loop poles have been fixed and an optimal trajectory originating from the nominal initial state compatible with these poles is computed, a stabilizing compensator which drives the system along this trajectory can be derived in closed form. There is no restriction on the optimality criterion and the constraints. The optimization is carried out over a finite-dimensional parameterization of the trajectories. The technique has been presented for state feedback. We propose here a technique based on the Youla–Kučera parameterization which works for output feedback. The main result is that we provide conditions for solvability in terms of a set of linear algebraic equations.
DOI
10.1016/j.sysconle.2015.04.006
WOS
WOS:000357241500003
Archivio
http://hdl.handle.net/11368/2840388
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84930620831
http://authors.elsevier.com/a/1R34zc8EXLtGD
Diritti
open access
FVG url
https://arts.units.it/request-item?handle=11368/2840388
Soggetti
  • Continuous time syste...

Web of Science© citazioni
8
Data di acquisizione
Mar 27, 2024
Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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