Global uniform input-to-state stabilization of large-scale interconnections of MIMO generalized triangular form switched systems

被引:35
作者
Dashkovskiy, Sergey [1 ]
Pavlichkov, Svyatoslav [1 ]
机构
[1] Erfurt Univ Appl Sci, D-99085 Erfurt, Germany
关键词
Nonlinear robust stabilization; Switched nonlinear control systems; Large-scale interconnections; SMALL-GAIN THEOREM; NONLINEAR-SYSTEMS; NONSMOOTH STABILIZATION; ADAPTIVE CONTROLLERS; BACKSTEPPING DESIGN; FEEDBACK; ISS; INTEGRATOR; NETWORKS;
D O I
10.1007/s00498-012-0078-y
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We solve the problem of global uniform input-to-state stabilization with respect to external disturbance signals for a class of large-scale interconnected nonlinear switched systems. The overall system is composed of switched subsystems each of which has the nonlinear MIMO generalized triangular form, which (in contrast to strict-feedback form) has non-invertible input-output maps. The switching signal is an arbitrary unknown piecewise constant function and the feedback constructed does not depend on the switching signal.
引用
收藏
页码:135 / 168
页数:34
相关论文
共 36 条
  • [21] Adding one power integrator: a tool for global stabilization of high-order lower-biangular systems
    Lin, W
    Qian, CJ
    [J]. SYSTEMS & CONTROL LETTERS, 2000, 39 (05) : 339 - 351
  • [22] Lin Y., 2005, P 16 IFAC
  • [23] Long F, 2007, INT J COMPUT SCI NET, V7, P110
  • [24] Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings
    Ma, Ruicheng
    Zhao, Jun
    [J]. AUTOMATICA, 2010, 46 (11) : 1819 - 1823
  • [25] On converse Lyapunov theorems for ISS and iISS switched nonlinear systems
    Mancilla-Aguilar, JL
    García, RA
    [J]. SYSTEMS & CONTROL LETTERS, 2001, 42 (01) : 47 - 53
  • [26] Mehraeen Shahab, 2009, Proceedings 2009 International Joint Conference on Neural Networks (IJCNN 2009 - Atlanta), P2058, DOI 10.1109/IJCNN.2009.5178736
  • [27] Backstepping design with local optimality matching
    Pan, ZG
    Ezal, K
    Krener, AJ
    Kokotovic, PV
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) : 1014 - 1027
  • [28] Global Stabilization of the Generalized MIMO Triangular Systems With Singular Input-Output Links
    Pavlichkov, Svyatoslav Sergeevich
    Ge, Shuzhi Sam
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (08) : 1794 - 1806
  • [29] Rui CL, 1997, IEEE DECIS CONTR P, P3998, DOI 10.1109/CDC.1997.652490
  • [30] ADAPTIVE-CONTROL OF NONLINEAR-SYSTEMS WITH A TRIANGULAR STRUCTURE
    SETO, DB
    ANNASWAMY, AM
    BAILLIEUL, J
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (07) : 1411 - 1428