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H-Optimal Actuator Location

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2 Author(s)
Kasinathan, D. ; Dept. of Appl. Math, Univ. of Waterloo, Waterloo, ON, Canada ; Morris, K.

In many control applications, there is freedom to place the actuators. The actuator location should be chosen to optimize certain performance objectives. In this paper, H-performance with state-feedback is considered. That is, both the controller and the actuator locations are chosen to minimize the effect of disturbances on the output. A framework for calculating H-optimal actuator locations is developed. Conditions for well-posedness of the H-optimal actuator location problem are presented. Many optimal actuator problems involve systems modelled by partial differential equations and conditions under which approximations yield reliable results are given. A derivative-free optimization algorithm to calculate H-optimal actuator locations is described. The results are illustrated using several examples.

Published in:

Automatic Control, IEEE Transactions on  (Volume:58 ,  Issue: 10 )