A quadratic regulator problem related to identification problems and singular systems

Author

Favini, A. ; Pandolfi, L.

Author_Institution

Dept. of Math., Bologna Univ.

fYear

2006

fDate

28-30 June 2006

Firstpage

1

Lastpage

3

Abstract

We report some results concerning the quadratic regulator problem with point penalization of the control for a class of distributed systems. This new form of the quadratic regulator problem is suggested by certain identification problems related to delay systems and by the quadratic regulator problem for singular systems. The problem studied does not admit an optimal control. Hence we study the properties of the value function and we characterize the set of initial conditions which admit an optimal control. Finally, we show that it is always possible to construct minimizing sequences which are "robust" under perturbations on the initial conditions (and reference signals)

Keywords

delay systems; identification; linear quadratic control; delay systems; distributed systems; identification problems; optimal control; quadratic regulator problem; singular systems; value function; Control systems; Costs; Delay lines; Delay systems; Hilbert space; Mathematics; Optimal control; Regulators; Robustness;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2006. MED '06. 14th Mediterranean Conference on

Conference_Location

Ancona

Print_ISBN

0-9786720-1-1

Electronic_ISBN

0-9786720-0-3

Type

conf

DOI

10.1109/MED.2006.328801

Filename

4124974