Decentralization properties of optimal distributed controllers

Author

Paganini, Fernando ; Bamieh, Bassam

Author_Institution

Dept. of Electr. Eng., California Univ., Santa Barbara, CA, USA

Volume

2

fYear

1998

fDate

16-18 Dec 1998

Firstpage

1877

Abstract

We consider distributed parameter systems where the underlying dynamics are spatially invariant, and where the controls and measurements are fully distributed over the spatial coordinate. For such systems and quadratic optimization criteria (LQR, ℋ₂, ℋ_∞) the optimal control problem can be solved by diagonalization based on Fourier analysis over the spatial domain, yielding a parameterized family of Riccati equations over spatial frequency. By applying analytic continuation methods to the Riccati equation, we provide methods to estimate the spatial decay rate of the convolution kernel for the optimal controller. In addition, quantitative measures of controller decentralization in terms of spatial moments are presented

Keywords

Fourier analysis; H^∞ optimisation; Riccati equations; decentralised control; distributed parameter systems; optimal control; analytic continuation methods; controller decentralization; convolution kernel; decentralization properties; diagonalization; optimal distributed controllers; quadratic optimization criteria; spatial decay rate; spatial moments; spatially invariant dynamics; Actuators; Control systems; Convolution; Distributed control; Frequency; Kernel; Mechanical sensors; Optimal control; Riccati equations; Sensor arrays;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.758582

Filename

758582