IEEE Transactions on Automatic Control, Vol.58, No.10, 2522-2535, 2013
H-infinity-Optimal Actuator Location
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-infinity-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-infinity-optimal actuator locations is developed. Conditions for well-posedness of the H-infinity-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-infinity-optimal actuator locations is described. The results are illustrated using several examples.
Keywords:Actuators;control design;distributed parameter systems;feedback;H-infinity;optimal actuator location;optimization