TY - JOUR
T1 - Quadratic stabilization of a class of switched nonlinear systems via single Lyapunov function
AU - Wang, Min
AU - Zhao, Jun
PY - 2010/2
Y1 - 2010/2
N2 - This paper is concerned with the problem of globally quadratic stabilization for a class of switched cascade systems. The system under consideration is composed of two subsystems: a linear switched part and a nonlinear part, which are also switched systems. The feedback control law and the switching law are designed respectively when the first part is stabilized under some switching law and when both parts can be stabilized under some switching laws. We construct the single Lyapunov functions and design the switching laws based on the structure characteristics of the switched system. Also, the designed switching laws are of hysteresis switching form in order to avoid sliding models.
AB - This paper is concerned with the problem of globally quadratic stabilization for a class of switched cascade systems. The system under consideration is composed of two subsystems: a linear switched part and a nonlinear part, which are also switched systems. The feedback control law and the switching law are designed respectively when the first part is stabilized under some switching law and when both parts can be stabilized under some switching laws. We construct the single Lyapunov functions and design the switching laws based on the structure characteristics of the switched system. Also, the designed switching laws are of hysteresis switching form in order to avoid sliding models.
KW - Hysteresis-based switching
KW - Min-projection strategy
KW - Quadratic stabilization
KW - Single Lyapunov function
KW - Switched cascade systems
UR - http://www.scopus.com/inward/record.url?scp=70350573380&partnerID=8YFLogxK
U2 - 10.1016/j.nahs.2009.07.005
DO - 10.1016/j.nahs.2009.07.005
M3 - Article
SN - 1751-570X
VL - 4
SP - 44
EP - 53
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
IS - 1
ER -