Optimal control of distributed actuator and sensor arrays

Bassam Bamieh; Fernando Paganini; Munther Dahleh

doi:10.1117/12.316326

24 July 1998 Optimal control of distributed actuator and sensor arrays

Bassam Bamieh, Fernando Paganini, Munther Dahleh

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.

Citation Download Citation

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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