ABSTRACT
Synthesis approach of Model predictive control (MPC) is inherited from, and has developed the traditional optimal control. Synthesis approach of MPC considers model uncertainty, input/output constraints, based on the traditional optimal control. As a kind of theory, the importance of synthesis approach should not be judged based on whether or not it can be soon applied. Rather, it should be judged based on whether or not it can solve some important issues in the whole control theory. Usually, the optimum of the cost function is served as Lyapunov function. As a matter of fact, the value function of synthesis approach is also the infinite-horizon value function of a modified problem. The advantage of the infinite-horizon value function is that, if this value exists and finite, then closed-loop stability is naturally guaranteed.
