变采样周期网络控制系统的模型预测控制

于水情^{1, 2}，李俊民¹

(1. 西安电子科技大学 理学院，陕西 西安，710071；
2. 西安财经学院 统计学院，陕西 西安，710100)

摘 要：对一类具有随机时延和输入约束的网络控制系统，利用变采样周期的方法，将连续的被控对象离散化，从而将网络控制系统建模为部分转移概率未知的Markov跳变系统。基于预测控制的滚动优化原理，提出一种模型预测控制策略，通过线性矩阵不等式的方法，给出保证整个闭环系统随机渐近稳定充分条件。仿真算例说明所提方法的有效性。

关键词：网络控制系统；模型预测控制；滚动优化；变采样周期；部分转移概率未知

Model predictive control of networked control systems during variable-period sampling

YU Shui-qing^{1, 2}, LI Jun-min¹

(1. School of Science, Xidian University, Xi’an 710071, China;
2. School of Statistics, Xi’an University of Finance and Economics，Xi’an 710100, China)

Abstract:For a class of networked control systems with random delay and input constraints, applying variable-period sampling method, the networked control systems was modeled as a Markov jump systems with partly unknown transition probabilities. Based on the receding horizon optimization principle, a model predictive control scheme was proposed. By using the linear matrix inequality method, sufficient conditions were presented which guaranteed that the closed-loop system was asymptotically stable. Finally, an example was presented to illustrate the effectiveness of the proposed method.

Key words:networked control systems; model predictive control; receding horizon optimization; variable-period sampling; partly unknown transition probabilities