Output Feedback Multiobjective Cumulant Control with Structural Applications

Recently, a cumulant generalization of H 2 /H infin control has been given for the state feedback problem. This paper extends those results to the output feedback case. The Nash game approach to the H 2 /H infin problem is used. Sufficient conditions for two problems are determined. In the first problem the one player, the control, has only partial state information, while the other player, the disturbance, has full state information. In the other problem both players only have information based upon estimates of the state. Coupled Riccati equations for both cases are given, along with equilibrium solutions. The results are also applied to the first generation structural benchmark for buildings under seismic excitation.