Robust Model Predictive Control for Uncertain Positive Time-delay Systems

被引：0
作者：
Junfeng Zhang
Haoyue Yang
Miao Li
Qian Wang
机构：
[1] Hangzhou Dianzi University,School of Automation
[2] Ministry of Education of China,Key Laboratory of System Control and Information Processing
来源：
International Journal of Control, Automation and Systems | 2019年 / 17卷
关键词：
Linear programming; robust model predictive control; time delay; uncertain positive systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper proposes the robust model predictive control of positive time-delay systems with interval and polytopic uncertainties, respectively. The model predictive control framework consists of linear constraint, linear performance index, linear Lyapunov function, linear programming algorithm, and cone invariant set. By virtue of matrix decomposition technique, robust model predictive controllers of interval and polytopic positive systems with multiple state delays are designed, respectively. A multi step control strategy is utilized and a cone invariant set is constructed. Linear programming is used for the corresponding MPC conditions. Finally, a numerical example is given to verify the effectiveness of the proposed design.
引用
收藏
页码：307 / 318
页数：11
相关论文
共 110 条
  • [1] Khanafer A.(2016)Stability of epidemic models over directed graphs: A positive systems approach Automatica 74 126-134
  • [2] Basar T.(2007)Controller synthesis for positive linear systems with bounded controls IEEE Trans. Circuits Syst. II Expr. Briefs 54 151-155
  • [3] Gharesifard B.(2007)On linear copositive Lyapunov functions and the stability of switched positive linear systems IEEE Trans. Autom. Control 52 1346-1349
  • [4] Ait Rami M.(2009)On linear co–positive Lyapunov functions for sets of linear positive systems Automatica 45 1943-1947
  • [5] Tadeo F.(2013)Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L1–and L¥–gains characterization Int. J. Robust Nonlinear Control 23 1932-1954
  • [6] Mason O.(2015)Scalable control of positive systems Europ. J. Control 24 72-80
  • [7] Shorten R.(2014)Stabilization of continuous–time fractional positive systems by using a Lyapunov function IEEE Trans. Autom. Control 59 2203-2208
  • [8] Knorn F.(2012)Stability of switched positive linear systems with average dwell time switching Automatica 48 1132-1137
  • [9] Mason O.(2013)New results on stability of switched positive systems: an average dwell–time approach IET Control Theory Appl. 7 1651-1658
  • [10] Shorten R.(2011)Discrete–time control for switched positive systems with application to mitigating viral escape Int. J. Robust Nonlinear Control 21 1093-1111
12345678910