Study on Algorithm of Constraint Multivariable Generalized Predictive Control Based on Multi-objective Programming

To the multivariable system, when the input variables were constrained in the whole predictive horizon, we presented a generalized predictive self-tuning control algorithm (MGPC), the algorithm is to solve the controller using the identification results and not to compute the Diophantine equation on line. It reduces the computation. Then we linearized the quadratic performance index of MGPC, in order to avoid to get unfeasible solutions by using linear programming, Multi-objectives programming was used to solve the restraint problem of MGPC. It simplified the designing of control system. The simulation result was given and showed that this control scheme was effective and the input variables are bounded within the constraint value.