| Abstract: | This paper presents a practical algorithm for MIMO controller design with multiple H∞ norm constraints. The plant is described by its sampled-data impulse response matrix, which could be determined directly from measurements; the controller design parameters are the tap weights of an FIR discretization of the Q-(or Youla-) parameter. We approximate the H∞ norm by the maximum transfer matrix 2-norm on an even frequency sampling over θ = [0, π]. The control design algorithm uses the Newton method to minimize two cost functions sequentially: the first determines multiple H∞ feasibility, and the second minimizes a generalized entropy. As a design example, we control the acoustic radiation from a (mathematically modelled) submerged spherical shell. The plant-model impulse response matrix has McMillan degree 8 800. We specify and synthesize a controller that simultaneously achieves ten H∞ constraints: one on the radiation reduction, one for stability robustness, and eight on actuator authority. |
