A rule of change of weight matrix in objective function in model predictive control in order to consider stability for trms based on bellman’s dynamic programming me

Abstract

A paper [1] indicated the survey results of applying Model Predictive Control for the TRMS based on Bellman’s dynamic programming method in order to consider the stability with the predictive horizon going to infinity. The results of [1] has proved the stability of system, but they did not satisfy constraint conditions of state parameters. In this article, the authors provided a rule of change of weight matrix in objective function in order to satisfy constraint conditions of the inputs, the outputs and the state parameters of this system. All of the state parameters reached to zero and satisfied constraint conditions, the global stability of the system when the predictive horizon (NP) went to infinity showed a reasonable rule with simulation results.