Robust Conrol Design with Real-Parameter Uncertainties

A method is presented for the construction of design equations for low-order controllers to provide robust H¿ norm constraint for systems with real-parameter uncertainties. The multi-goal robust stability and performance problem is broken down into subproblems, each with a simple design goal. Riccati inequalities are easily written for each of the subproblems, then the various terms are collected from each to form Riccati inequalities for the multi-goal problem. This method is based on theorems fundamental to Mu-synthesis so that the results can be used to start the D-K iteration process in Mu-synthesis.