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24 July 1998 Optimal control of distributed actuator and sensor arrays
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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.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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