Robust H∞ state feedback control for bilinear systems

In this paper we investigate a robust H_∞ state feedback control technique for continuous time bilinear systems with additive disturbance input. The nonlinear robust H_∞ control for bilinear systems requires a solution to the state dependent algebraic Riccati equation (SDARE). We present a new robust H_∞ control technique based on the successive approximation method for solving the SDARE by converting the bilinear systems into the time varying linear systems. The proposed control method guarantees the robust stability for the closed loop bilinear systems. The proposed algorithm is verified by numerical examples.