Optimal control of distributed actuator and sensor arrays

Bassam Bamieh; Fernando Paganini; Munther Dahleh

doi:10.1117/12.316326

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24 July 1998 Optimal control of distributed actuator and sensor arrays

Bassam Bamieh, Fernando Paganini, Munther Dahleh

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Proceedings Volume 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures; (1998) https://doi.org/10.1117/12.316326
Event: 5th Annual International Symposium on Smart Structures and Materials, 1998, San Diego, CA, United States

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.

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Bassam Bamieh, Fernando Paganini, and Munther Dahleh "Optimal control of distributed actuator and sensor arrays", Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); https://doi.org/10.1117/12.316326

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