The Application of Cost Averaging Techniques to Robust Control of the Benchmark Problem

A method is presented for the synthesis of robust controllers for linear time invariant systems with parameterized uncertainty structures. The method involves minimizing the average quadratic (H2) cost over the parameteried system. Bounded average cost implies stability over the set of systems The average cost functional is minimized to derive robust fixed-order dynamic compensators. The robustness properties of these controllers are demonstrated on the sample problem.