Simultaneous Robust Regulation and Robust Stabilization with Degree Constraint
نویسنده
چکیده
This paper characterizes all controllers to a problem of simultaneous robust regulation and robust stabilization, which was left open by Cevik and Schumacher. The characterization is based on a combination of their results, i.e., the controller parameterization of robust regulation with nominal internal stability and the stability margin given by an internally stabilizing controller. The controller set will be represented in terms of a solution set to the boundary Nevanlinna-Pick interpolation problem. It is shown that a certain degree restriction on the solution set leads to a reasonable degree bound of controllers. With this degree bound, an efficient algorithm for calculating each controller is available. Using the freedom in the controller set, other performance specifications than robust regulation and robust stability may be satisfied without increasing the controller degree.
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