Robust model predictive control for continuous uncertain systems with state delay

• DOI: 10.1007/s11768-008-5227-y
• Publication Date: 2008-07-07T09:04:05Z
• Authors: Chunyan Han; Xiaohua Liu; Huanshui Zhang
• Keywords: Model Predictive Control

This paper is concerned with robust model predictive control for linear continuous uncertain systems with state delay and control constraints. A piecewise constant control sequence is calculated by minimizing the upper-bound of the infinite horizon quadratic cost function. At each sampling time, the sufficient conditions for the existence of the model predictive control are derived, and expressed as a set of linear matrix inequalities. The robust stability of the closed-loop systems is guaranteed by the proposed design method. A numerical example is given to illustrate the main results.