Concurrent optimization of piezoelectric actuator locations for disturbance attenuation
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This paper presents a novel strategy for optimally locating active members in large space structures. For the forthcoming class of massively actuated structures, characterized by a large number of discrete or distributed actuators, the proposed method optimizes the actuator locations based on performance indices such as finite time energy dissipation and disturbance attenuation. A rigorously convergent stochastic optimization algorithm, which is conceptually similar to simulated annealing, is used to obtain the optimal actuator locations. From a viewpoint of model fidelity and accuracy, the formulation is attractive in that no order reduction is carried out, and the accuracy of the full order model is retained. This is an important attribute for systems containing low authority active members, such as piezoelectric devices, since, local stress effects, which are characteristic of this family of actuation devices, can be obscured in the conventional methods that use reduced order models. The simulation method is based upon a concurrent nonrecursive, order N formulation of system and control dynamics, as well as a concurrent, asynchronous, multi-search optimization technique. The method is attractive in that it induces concurrency on a fine scale during the optimization procedure.