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

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 complexi...

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Vydané v:	Systems & Control Letters Ročník 81; s. 14 - 23
Hlavní autori:	Blanchini, Franco, Colaneri, Patrizio, Fujisaki, Yasumasa, Miani, Stefano, Pellegrino, Felice Andrea
Médium:	Journal Article
Jazyk:	English Japanese
Vydavateľské údaje:	Elsevier B.V 01.07.2015 Elsevier BV
Predmet:	AUT Continuous time systems Continuous time systems,Output feedback,Relatively optimal control,Youla–Kučera parameterization Continuous time systems; Output feedback; Relatively optimal control; Youla-Kučera parameterization; Control and Systems Engineering; Electrical and Electronic Engineering; Computer Science (all); Mechanical Engineering Output feedback Relatively optimal control Youla-Kucera parameterization Youla–Kučera parameterization Youla–Kučera parameterization Continuous time systems Relatively optimal control Output feedback
ISSN:	0167-6911, 1872-7956
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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.
AbstractList	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.
Author	Pellegrino, Felice Andrea Fujisaki, Yasumasa Colaneri, Patrizio Blanchini, Franco Miani, Stefano
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Cites_doi	10.1109/TAC.2003.820070 10.1016/j.automatica.2007.04.010 10.1016/S0005-1098(01)00174-1 10.1109/TAC.1976.1101223 10.1016/0005-1098(89)90002-2 10.1109/TAC.2005.863493 10.1109/CDC.1987.272491 10.3166/ejc.7.87-99 10.1109/CDC.2006.377457 10.1109/TAC.1972.1099984
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Keywords	Youla–Kučera parameterization Continuous time systems Relatively optimal control Output feedback
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SubjectTerms	AUT Continuous time systems Continuous time systems,Output feedback,Relatively optimal control,Youla–Kučera parameterization Continuous time systems; Output feedback; Relatively optimal control; Youla-Kučera parameterization; Control and Systems Engineering; Electrical and Electronic Engineering; Computer Science (all); Mechanical Engineering Output feedback Relatively optimal control Youla-Kucera parameterization Youla–Kučera parameterization
Title	A Youla–Kučera parameterization approach to output feedback relatively optimal control
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