Predictive functional control and stability analysis of MIMO bilinear systems

This paper describes the use of predictive functional control algorithm to MIMO bilinear systems. In order to facilitate the online calculation, aggregation as part of algorithm is used to deal with the future predicted values of the state variables, which leads to that the design procedure does not linearize the nonlinear model, as a result a QP problem is the one requiring solution at each step. Further, the paper discusses the local asymptotic stability of the closed loop control system based on Lyapunov stability method. Last, illustrative simulations are provided to show that the proposed method is effective and owns the efficient robustness for system parameters perturbation