Computational Simulations on Stability of Model Predictive Control for Linear Discrete-time Stochastic Systems

Model predictive control is a kind of optimal feedback control in which control performance over a finite future is optimized with a performance index that has a moving initial time and a moving terminal time. This paper examines the stability of model predictive control for linear discrete-time systems with additive stochastic disturbances. A sufficient condition for the stability of the closed-loop system with model predictive control is derived by means of a linear matrix inequality. The objective of this paper is to show the results of computational simulations in order to verify the effectiveness of the obtained stability condition. Keywords—Computational simulations, optimal control, predictive control, stochastic systems, discrete-time systems.