Research on the multivariable predictive functional control algorithm based on the state space equation

The research and application of predictive functional control is mainly focused on single-variable system. The actual object is multivariable systems. So it is necessary to research a predictive functional control for multivariable systems. This paper mainly studied the basis function, reference trajectory, and the output of the predictive model. Finally, The expressions of control of the multivariable predictive function control algorithm can be deduced in this paper. The state space equations are adopted by the controlled object, and then the multivariable system is simulated by MATLAB. The simulation results show that the control algorithm of MPFC can achieve better control effect and quickly make the system get a stable state, but some overshoot is appeared.