Application of maximum entropy optimal projection design synthesis to a benchmark problem

Maximum entropy/optimal projection design synthesis is a methodology for designing robust, fixed-order controllers for flexible structures. This paper reviews the theoretical basis for this method and illustrates the approach using a benchmark problem. The benchmark problem involves two masses with spring coupling, an uncertain spring constant, and a sensor and actuator that are noncollocated. The results of this paper also illustrate the use of a precompensation methodology that allows the control designer to precondition the design plant by embedding judiciously designed filters. These filters are included in the implemented controller. I.