Robust H_∞ state feedback control methods for bilinear systems

Robust H_∞ state feedback control methods for continuous-time bilinear systems with an additive disturbance input are presented. The robust H_∞ control for bilinear systems requires a solution of the state dependent algebraic Riccati equation (SDARE). However, the proposed robust H_∞ control techniques based on the successive approximation method solve the SDARE by converting the bilinear system into the time varying linear system and solving a sequence of algebraic Riccati and Lyapunov equations, respectively. Numerical examples are considered to verify the efficiency of the proposed algorithms.