Syntheses of H∞ output feedback control for bilinear systems

In this paper, we consider H_∞ output feedback control synthesis problems for bilinear systems. We develop two types of approach to the problem. The first approach is based on a differential game theory. The second approach uses linear fractional representations. We derive sufficient conditions for feasibility of the problems and propose controller synthesis algorithms corresponding to the conditions. We also discuss computer simulations for continuous stirred tank reactors by using the two developed approaches