On-line optimal regulator for multi-variable non-linear systems by dynamicprogramming

Although the optimal regulator is widely known as a typical optimal-feedbac k controller, the optimal problem for multi-variable non-linearsystems is h ard to solve in real-time. In this paper, a new method for solving the opti mal regulator is proposed. Optimal values of manipulation variable are calc ulated by evaluating an objective function on state-variable space which is iteratively solved by a dynamic programming. As a result of simulation for level-control of a tank and temperature-control of a CSTR, the proposed me thod provides real-time calculation of the optimal problem, and a good cont roller can be realized. Consecutive calculation of optimal regulator realiz es tracking controller of a batch process with quasi-steady state condition . Simulation of reflux-ratio control of a batch distillation shows good con trol performance.