Abstract: We describe a computer-aided control system design method for designing a linear time-invariant (LTI) controller for the NEC Laser Bonding machine. The procedure consists of numerically searching over the set of Youla parameters that describe the set of stabilizing LTI controllers for an LTI model of the Laser Bonder; this search is conducted using convex optimization techniques involving Linear Matrix Inequalities. The design specifications include constraints on the transient and steady-state tracking of a specific input, as well as bounds on the norms of certain closed-loop maps of interest. The design procedure is shown to yield a controller that optimally satisfies the various performance specifications.