Recursive Robust Regulator for Discrete-time State-space Systems

被引:15
|
作者
Cerri, Joao P. [1 ]
Terra, Marco H. [1 ]
Ishihara, Joao Y. [2 ]
机构
[1] Univ Sao Paulo, Dept Elect Engn, CP 359, BR-13566590 Sao Carlos, SP, Brazil
[2] Univ Brasilia, Dept Elect Engn, Fac Technol, Brasilia, DF, Brazil
关键词
Discrete-time systems; game theory; minimum squares; penalty functions; robust regulators;
D O I
10.1109/ACC.2009.5160553
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 deals with robust regulation problem for discrete-time linear systems subject to uncertainties. The uncertainties are assumed bounded. A new functional based on the combination of penalty functions and weighted game-type cost function is defined to deal with this problem. The solution provided is based on recursive Riccati equations. An interesting feature of this approach is that the recursiveness can be performed without the need of adjusting auxiliary parameters.
引用
收藏
页码:3077 / +
页数:2
相关论文
共 50 条
  • [1] Recursive Robust Regulator for Discrete-Time Markovian Jump Linear Systems
    Cerri, Joao P.
    Terra, Marco H.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (11) : 6004 - 6011
  • [2] Discrete-time systems properties defined on state-space regions
    Wiktor Malesza
    Bogdan Bednarski
    [J]. Nonlinear Dynamics, 2024, 112 : 4705 - 4725
  • [3] Discrete-time systems properties defined on state-space regions
    Malesza, Wiktor
    Bednarski, Bogdan
    [J]. NONLINEAR DYNAMICS, 2024, 112 (06) : 4687 - 4703
  • [4] On State-Space Representations of General Discrete-Time Dynamical Systems
    Rojas, Cristian R. R.
    Wachel, Pawel
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (12) : 6975 - 6979
  • [5] Finite memory controls for discrete-time state-space systems
    Han, S.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (05): : 744 - 750
  • [6] Robust State-Space Realizations of Discrete-time Systems against Finite Word Length Errors
    Zhu, Guangxin
    Wang, Kuang
    He, Xiongxiong
    [J]. ASCC: 2009 7TH ASIAN CONTROL CONFERENCE, VOLS 1-3, 2009, : 1397 - 1401
  • [7] Robust Stability Criterion for State-Delayed Discrete-Time Systems Combined with a Saturation Operator on the State-Space
    Neha Agarwal
    Haranath Kar
    [J]. Circuits, Systems, and Signal Processing, 2022, 41 : 5392 - 5413
  • [8] Robust Stability Criterion for State-Delayed Discrete-Time Systems Combined with a Saturation Operator on the State-Space
    Agarwal, Neha
    Kar, Haranath
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2022, 41 (10) : 5392 - 5413
  • [9] Fourier state-space analysis of linear discrete-time periodic systems
    Toivonen, Hannu T.
    Hietarinta, Lassi
    [J]. AUTOMATICA, 2015, 53 : 136 - 140
  • [10] Stability conditions for fractional discrete-time state-space systems with delays
    Ruszewski, Andrzej
    [J]. 2019 24TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2019, : 185 - 190