A Bounded Real Lemma for Continuous-Time Linear Systems with Partial Information on the Markovian Jumping Parameters

被引:0
|
作者
Graciani Rodrigues, C. C. [1 ]
Todorov, Marcos G. [1 ]
Fragoso, Marcelo D. [1 ]
机构
[1] LNCC CNPq, Natl Lab Sci Comp, Av Getulio Vargas 333, BR-25651070 Rio De Janeiro, Brazil
关键词
H-infinity control; continuous-time Markov jump linear systems; partial observations; SEPARATION PRINCIPLE; ADAPTIVE-CONTROL; DISTURBANCES;
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 present a Bounded Real Lemma for continuous-time Markov jump linear systems with partial observations of the Markov chain. The main result provides a fundamental tool for the development of an H-infinity control theory devoted to this class of systems, and consists of a necessary and sufficient condition for a given stochastic system to be mean square stable and satisfy a prescribed degree of H-infinity performance. We also devise a method for the design of H-infinity controllers via linear matrix inequalities, which is subsequently applied to the control of an unmanned aerial vehicle model.
引用
收藏
页码:4226 / 4231
页数:6
相关论文
共 50 条
  • [21] Stability of discrete-time linear systems with markovian jumping parameters
    Boukas, EK
    Yang, H
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1995, 8 (04) : 390 - 402
  • [22] A strictly bounded real lemma for singular Markovian jump systems
    Park, Chan-eun
    Park, In Seok
    Park, PooGyeon
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 2858 - 2861
  • [23] The strict bounded real lemma for linear time-varying systems
    Chen, WY
    Tu, FS
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 244 (01) : 120 - 132
  • [24] H∞-control for linear time-delay systems with Markovian jumping parameters
    Benjelloun, K
    Boukas, EK
    Costa, OLV
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 105 (01) : 73 - 95
  • [25] H∞-Control for Linear Time-Delay Systems with Markovian Jumping Parameters
    K. Benjelloun
    E. K. Boukas
    O. L. V. Costa
    Journal of Optimization Theory and Applications, 2000, 105 : 73 - 95
  • [26] H∞ filtering for discrete-time linear systems with Markovian jumping parameters
    de Souza, CE
    Fragoso, MD
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (14) : 1299 - 1316
  • [27] H∞ control for discrete-time linear systems with Markovian jumping parameters
    Boukas, EK
    Shi, P
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 4134 - 4139
  • [28] H∞ filtering for discrete-time linear systems with Markovian jumping parameters
    de Souza, CE
    Fragoso, MD
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 2181 - 2186
  • [29] Real-time identification of linear continuous-time systems with slowly time-varying parameters
    Padilla, A.
    Garnier, H.
    Young, P. C.
    Yuz, J.
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 3769 - 3774
  • [30] Improved Bounded Real Lemma for Singular Markovian Jump Delayed Systems
    Shen Hao
    Wang Jing
    Zhang Zhengqiang
    Yao Fengqi
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2697 - 2701