A multivariable bilinear adaptive controller with decoupling design

This paper presents a new adaptive decoupling controller for multivariable bilinear systems with non-diagonal coefficient matrix of stochastic noises. The controller combines the feedforward control strategy with the generalized minimum variance approach and performs the decoupling of the control loop dynamically as well as in the steady state. It can control the bilinear systems whose linear part is not necessarily of minimum phase. The proof of global convergence for the algorithm is also provided. Simulation results demonstrate the effectiveness of the controller.