Supervisory Control and Measurement Scheduling for Discrete-Time Linear Systems

Author

Lee, Ji-Woong ; Dullerud, Geir E.

Author_Institution

Pennsylvania State Univ., University Park, PA, USA

Volume

56

Issue

4

fYear

2011

fDate

4/1/2011 12:00:00 AM

Firstpage

873

Lastpage

879

Abstract

The problem of jointly synthesizing a supervisor, a measurement scheduler, and a feedback controller for discrete-time linear systems is considered. It is shown that open-loop supervisory and scheduling laws are nonconservative for robust exponential stability and H₂ and H_∞ type performance requirements, and that they can be obtained separately from the feedback controller. All the design conditions are formulated in terms of linear matrix inequalities.

Keywords

H^∞ control; asymptotic stability; control system synthesis; discrete time systems; feedback; linear matrix inequalities; linear systems; open loop systems; robust control; H_∞ type performance; H₂ type performance; discrete time linear system; feedback controller; linear matrix inequality; measurement scheduling; open loop supervisory; robust exponential stability; supervisory control; Adaptive control; Attenuation; Linear matrix inequalities; Linear systems; Robustness; Switches; $ {cal H}_{2}$ control; $ {cal H}_{infty} $ control; hybrid systems; linear matrix inequality; uncertain systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2010.2098971

Filename

5664769