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

被引:36
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
[31]   Stability criteria for switched and hybrid systems [J].
Shorten, Robert ;
Wirth, Fabian ;
Mason, Oliver ;
Wulff, Kai ;
King, Christopher .
SIAM REVIEW, 2007, 49 (04) :545-592
[32]   SMOOTH STABILIZATION IMPLIES COPRIME FACTORIZATION [J].
SONTAG, ED .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :435-443
[33]   PARTIAL-STATE GLOBAL STABILIZATION FOR GENERAL TRIANGULAR SYSTEMS [J].
TSINIAS, J .
SYSTEMS & CONTROL LETTERS, 1995, 24 (02) :139-145
[34]   A THEOREM ON GLOBAL STABILIZATION OF NONLINEAR-SYSTEMS BY LINEAR FEEDBACK [J].
TSINIAS, J .
SYSTEMS & CONTROL LETTERS, 1991, 17 (05) :357-362
[35]   Explicit formulas of feedback stabilizers for a class of triangular systems with uncontrollable linearization [J].
Tzamtzi, M ;
Tsinias, J .
SYSTEMS & CONTROL LETTERS, 1999, 38 (02) :115-126
[36]   Stabilizing controllers design for switched nonlinear systems in strict-feedback form [J].
Wu, Jenq-Lang .
AUTOMATICA, 2009, 45 (04) :1092-1096