|Robust H∞ Control Method for Bilinear Systems
Beom-Soo Kim and Myo-Taeg Lim
International Journal of Control, Automation, and Systems, vol. 1, no. 2, pp.171-177, 2003
Abstract : this paper, we investigate a robust H∞ state feedback control technique for continuous
time bilinear systems with an 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 bilinear systems into time-varying linear systems.
The proposed control method guarantees robust stability for closed loop bilinear systems.
The proposed algorithm is verified by numerical examples.
Keyword : Robust control, H∞ control, bilinear systems, optimal control, successive approximation.