  We consider an optimization problem for spatial power distribution generated
by an array of transmitting elements. Using ultrasound hyperthermia cancer
treatment as a motivating example, the signal design problem consists of
optimizing the power distribution across the tumor and healthy tissue regions,
respectively. The models used in the optimization problem are, however,
invariably subject to errors. deposition as well as inefficient treatment. To
combat such unknown model errors, we formulate a robust signal design framework
that can take the uncertainty into account using a worst-case approach. This
leads to a semi-infinite programming (SIP) robust design problem which we
reformulate as a tractable convex problem, potentially has a wider range of
applications.
