Model Predictive Control of Discrete-time Markovian Jump Positive Systems

被引：0
|
作者：
Mehrivash, Hamed [1 ]
Hadavand, Ehsan [1 ]
Shafiei, Mohammad Hosein [1 ]
Zarei, Jafar [1 ]
机构：
[1] Shiraz Univ Technol SUTECH, Dept Elect & Elect Engn, Shiraz 7155713876, Iran
来源：
26TH IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE 2018) | 2018年
关键词：
positive systems; model predictive control; Markovian jump systems; linear programming; STOCHASTIC STABILITY; LINEAR-SYSTEMS; STABILIZATION; DESIGN;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper a single-step Model Predictive Control (MPC) strategy is designed for a discrete -time Markov jump positive system with known transition probabilities. A cost function is minimized such that the closed -loop system is positive and a exponentially stable. Linear Programming (LP) strategy is employed as a convenient method to solve optimization problem of MPC, which should be solved at each iteration. In this paper, all conditions are derived in the form of LP constraints. Finally, an illustrative example is simulated to show the effectiveness of the proposed method.
引用
收藏
页码：834 / 839
页数：6
相关论文
共 50 条
  • [21] Asynchronous Control for Discrete-Time Singular Markovian Jump Systems With Actuator Saturation
    Zhang, Qian
    Yan, Huaicheng
    Tian, Yongxiao
    Qi, Ping
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2024, 71 (08) : 3890 - 3894
  • [22] Robust receding horizon control of discrete-time Markovian jump uncertain systems
    Park, BG
    Kwon, WH
    Lee, JW
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2001, E84A (09) : 2272 - 2279
  • [23] Robust control for markovian jump linear discrete-time systems with unknown nonlinearities
    Mahmoud, MS
    Shi, P
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (04): : 538 - 542
  • [24] Stochastic Passivity of Discrete-Time Markovian Jump Nonlinear Systems
    Wang, Yue
    Gupta, Vijay
    Antsaklis, Panos J.
    [J]. 2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 4879 - 4884
  • [25] Robust estimate for discrete-time Markovian jump linear systems
    Terra, Marco H.
    Ishihara, Joao Y.
    Jesus, Gildson
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1305 - 1309
  • [26] Robust filtering for discrete-time Markovian jump delay systems
    Wang, ZD
    Lam, J
    Liu, XH
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2004, 11 (08) : 659 - 662
  • [27] Robust Estimation for Discrete-Time Markovian Jump Linear Systems
    Terra, Marco H.
    Ishihara, Joao Y.
    Jesus, Gildson
    Cerri, Joao P.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (08) : 2065 - 2071
  • [28] Convergence rate analysis of discrete-time Markovian jump systems
    Li, Zhao-Yan
    Wang, Yong
    [J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 1056 - 1064
  • [29] SLQC for Discrete-Time Markovian Jump Stochastic Linear Systems
    Sun Huiying
    Zhang Xuelei
    Feng Chunyu
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2326 - 2330
  • [30] H∞ Estimates for Discrete-Time Markovian Jump Linear Systems
    Terra, Marco H.
    Jesus, Gildson
    Ishihara, Joao Y.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
12345