Decentralized robust output feedback control for control affine nonlinear interconnected systems

被引:17
作者
Labibi, Batool [1 ]
Marquez, Horado Jose [2 ]
Chen, Tongwen [2 ]
机构
[1] KN Toosi Univ Technol, Adv Proc Automat & Control Res Grp, Tehran, Iran
[2] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Decentralized robust control; Disturbance attenuation; Linear matrix inequalities (LMIs); Control affine nonlinear systems; DESIGN; STABILIZATION;
D O I
10.1016/j.jprocont.2008.11.008
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, a scheme for decentralized robust control for control affine nonlinear interconnected systems using linear matrix inequalities (LMIs) is presented. Based on the Lyapunov theory, sufficient conditions for closed-loop stability of a nonlinear system, reference input tracking, and disturbance attenuation over its operating-range are obtained. Then, achieving these sufficient conditions are formulated as local LMI optimization problems. By solving the appropriately defined local problems, provided the obtained sufficient conditions are satisfied, the closed-loop stability, input tracking, and disturbance attenuation over the operating-range of the system are guaranteed. The designed controller is linear whose implementation is straightforward. An example is given to illustrate the proposed methodology. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:865 / 878
页数:14
相关论文
共 25 条
  • [1] A non-iterative LMI-based algorithm for robust static-output-feedback stabilization
    Benton, RE
    Smith, D
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (14) : 1322 - 1330
  • [2] ELGHAOUI L, 1994, IEEE DECIS CONTR P, P2678, DOI 10.1109/CDC.1994.411398
  • [3] SEQUENTIAL DESIGN OF DECENTRALIZED CONTROLLERS
    HOVD, M
    SKOGESTAD, S
    [J]. AUTOMATICA, 1994, 30 (10) : 1601 - 1607
  • [4] IMAI H, 1997, J CONTROL, V66
  • [5] Semiglobal L2 performance bounds for disturbance attenuation in nonlinear systems
    Isidori, A
    Schwartz, B
    Tarn, TJ
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (08) : 1535 - 1545
  • [6] Isidori A, 1995, NONLINEAR CONTROL SYSTEMS DESIGN 1995, VOLS 1 AND 2, P87
  • [7] IWASAKI T, 1994, SYSTEMS CONTROL LETT, V23
  • [8] Johansson K. H., 2000, IEEE T CONTROL SYSTE, V8
  • [9] Robust output-feedback controller design via local BMI optimization
    Kanev, S
    Scherer, C
    Verhaegen, M
    De Schutter, B
    [J]. AUTOMATICA, 2004, 40 (07) : 1115 - 1127
  • [10] Khalil H.K., 2002, Control of Nonlinear Systems