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Proceedings Paper

Optimal control of distributed actuator and sensor arrays
Author(s): Bassam Bamieh; Fernando Paganini; Munther Dahleh
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Paper Abstract

We consider optimal H2 and H(infinity ) control design problems for distributed parameter systems with large arrays of sensors and actuators. We assume that the actuator and sensor array forms a regular lattice, and that the underlying dynamics have a property of spatial invariance with respect to shifts in the lattice. We show how Fourier transforms over the spatial domain reduces the optimization to a family of standard, finite-dimensional problems over spatial frequency. The solutions are then obtained by parameterized families of matrix algebraic Riccati equations. Such optimal controllers have a natural decentralized and separation structure which we analyze.

Paper Details

Date Published: 24 July 1998
PDF: 12 pages
Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); doi: 10.1117/12.316326
Show Author Affiliations
Bassam Bamieh, Univ. of California/Santa Barbara (United States)
Fernando Paganini, Univ. of California/Los Angeles (United States)
Munther Dahleh, Massachusetts Institute of Technology (United States)

Published in SPIE Proceedings Vol. 3323:
Smart Structures and Materials 1998: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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