On the 1-block H∞ control problem for a class of MIMO distributed systems

In this paper we study the (1-block) H^∞ optimal sensitivity minimization problem for a class of MIMO distributed plants. The optimal performance, μ, can be computed from a finite set of linear equations. We give an explicit determinantal formula for μ. The results presented here are extensions and simplifications of the previous work on the H^∞ control in the skew Toeplitz theory framework, [3], [7], [10], [18], [19], [20], etc. These simplifications reduce the complexity of the algorithms for solving H^∞ optimal control problems for distributed plants.