Switched State-Feedback Control of Discrete-Time Linear Systems with Multiplicative Noises

被引:0
|
作者
Gonzaga, C. A. C. [1 ]
Costa, O. L. V. [1 ]
机构
[1] Univ Sao Paulo, Escola Politecn, Dept Engn Telecomunicacoes & Controle, BR-05508900 Sao Paulo, Brazil
关键词
LYAPUNOV FUNCTIONS; RICCATI-EQUATIONS; OUTPUT-FEEDBACK; TRACKING ERROR; MARKOV JUMP; LQ CONTROL; STABILITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we consider the switched stochastic control problem of discrete-time linear systems with multiplicative noises. The control strategy is composed by a state-feedback switched component combined with a linear state-feedback part. We present a sufficient condition to derive the state feedback gains and the switching rule jointly so that the closed loop system is stochastic stable and a performance cost is bounded above by a constant value. The case without the linear state-feedback part is also considered. This sufficient condition is based on the so-called Lyapunov-Metzler inequalities. The results are illustrated with a portfolio tracking control problem.
引用
收藏
页码:5327 / 5332
页数:6
相关论文
共 50 条
  • [1] State-feedback control of discrete-time switched positive linear systems
    Zhao, X.
    Zhang, L.
    Wang, Z.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (18): : 2829 - 2834
  • [2] Robust state-feedback control of stochastic state-multiplicative discrete-time linear switched systems with dwell time
    Allerhand, L. I.
    Gershon, E.
    Shaked, U.
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (02) : 187 - 200
  • [3] State-feedback Control of Stochastic Discrete-time Linear Switched Systems with Dwell Time
    Allerhand, Liron I.
    Gershon, Eli
    Shaked, Uri
    [J]. 2015 EUROPEAN CONTROL CONFERENCE (ECC), 2015, : 452 - 457
  • [4] Suboptimal Linear Output Feedback Control of Discrete-Time Systems With Multiplicative Noises
    Liang, Xiao
    Zhang, Ancai
    Liu, Zhi
    Du, Yingxue
    Qiu, Jianlong
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2023, 70 (04) : 1480 - 1484
  • [5] Optimal Control of Linear Discrete-Time Systems with Multiplicative Noises
    Liu, Guangming
    Su, Weizhou
    Chen, Jie
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 5948 - 5953
  • [6] State-Feedback Stabilization of Discrete-Time Switched Linear Systems With Improved PDT Constraints
    Zhu, Yanzheng
    Zheng, Wei Xing
    [J]. 2018 AUSTRALIAN & NEW ZEALAND CONTROL CONFERENCE (ANZCC), 2018, : 408 - 412
  • [7] State feedback switched control of discrete-time switched linear systems with application to networked control
    Deaecto, Grace S.
    Souza, Matheus
    Geromel, Jose C.
    [J]. 2013 21ST MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2013, : 877 - 883
  • [8] H∞ state feedback control design of discrete-time switched linear systems
    Daiha, Helder R.
    Egidio, Lucas N.
    Deaecto, Grace S.
    Geromel, Jose C.
    [J]. 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [9] On State Estimation of Discrete-Time Linear Systems with Multiplicative Noises and Markov Jumps
    Liu, Wei
    [J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 3744 - 3749
  • [10] Periodic event-triggered state-feedback control for discrete-time linear systems
    Yu, Hao
    Hao, Fei
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (08): : 1809 - 1828