Guaranteed Cost Control for Delayed Discrete-Time Linear Systems: A Lyapunov Matrix-Based Method

被引：0
作者：
Zhang, Lanhui [1 ,2 ]
Xue, Yu [1 ,2 ]
Wang, Xin [1 ,2 ]
Zhang, Xian [1 ,2 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Heilongjiang Univ, Heilongjiang Prov Key Lab Theory & Computat Compl, Harbin 150080, Peoples R China
来源：
PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019) | 2019年
基金：
中国国家自然科学基金;
关键词：
delayed linear discrete-time system; guaranteed cost; guaranteed cost control; Lyapunov matrix; complete-type Lyapunov-Krasovskii functional; LMI APPROACH; STABILIZATION; RAZUMIKHIN; STABILITY;
D O I：
10.1109/ccdc.2019.8832759
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the guaranteed cost control problem for delayed discrete-time linear systems. Firstly, the concept of Lyapunov matrix is employed to construct a complete-type Lyapunov-Krasovskii functional. Secondly, solvable conditions of the problems under consideration are proposed. These conditions are formulated as several simple linear matrix inequalities, which can be solved by using the toolbox YALMIP of MATLAB. Thirdly, the precise form of the controller is proposed, which guarantees that the resultant closed-loop system is asymptotically stable and has a guaranteed cost. Finally, an example is given to illustrate the validity of the theoretical results.
引用
收藏
页码：176 / 181
页数：6
相关论文
共 21 条
  • [1] Delay-dependent guaranteed cost control for uncertain discrete-time systems with delay
    Chen, WH
    Guan, ZH
    Lu, X
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (04): : 412 - 416
  • [2] Du XT, 2018, PROCEEDINGS OF THE 2018 IEEE/MTT-S INTERNATIONAL MICROWAVE BIOMEDICAL CONFERENCE (IMBIOC), P94, DOI 10.1109/IMBIOC.2018.8428917
  • [3] LMI approach to suboptimal guaranteed cost control for uncertain time-delay systems
    Esfahani, SH
    Moheimani, SOR
    Petersen, IR
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1998, 145 (06): : 491 - 498
  • [4] Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay
    Gao, H
    Lam, J
    Wang, C
    Wang, Y
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06): : 691 - 698
  • [5] Robust Sampled-Data H∞ Control for Vehicle Active Suspension Systems
    Gao, Huijun
    Sun, Weichao
    Shi, Peng
    [J]. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2010, 18 (01) : 238 - 245
  • [6] Survey on recent results in the stability and control of time-delay systems
    Gu, KQ
    Niculescu, SI
    [J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2003, 125 (02): : 158 - 165
  • [7] Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems
    Jankovic, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) : 1048 - 1060
  • [8] Necessary and Sufficient Conditions of Exponential Stability for Delayed Linear Discrete-Time Systems
    Li, Haifang
    Zhao, Ning
    Wang, Xin
    Zhang, Xian
    Shi, Peng
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (02) : 712 - 719
  • [9] H∞ Filtering for Discrete-Time Systems With Stochastic Incomplete Measurement and Mixed Delays
    Shi, Peng
    Luan, Xiaoli
    Liu, Fei
    [J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2012, 59 (06) : 2732 - 2739
  • [10] Stabilization and estimation for perturbed discrete time-delay large-scale systems
    Wang, WJ
    Mau, LG
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (09) : 1277 - 1282
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