TY - JOUR
T1 - Stabilisation and L2-gain analysis for a class of uncertain switched non-linear systems
AU - Wang, Min
AU - Zhao, Jun
AU - Dimirovski, Georgi M.
PY - 2009/10
Y1 - 2009/10
N2 - This article is concerned with the problem of stabilisation and L2-gain analysis for a class of switched non-linear systems with norm-bounded time-varying uncertainties. A system in this class is composed of two parts: an uncertain linear switched part and a non-linear part, which are also switched systems. When all the subsystems are stabilisable and have an L2-gain, the switched feedback control law and the switching law are designed respectively using average dwell-time method such that the corresponding closed-loop switched system is exponentially stable and achieves a weighted L2-gain.
AB - This article is concerned with the problem of stabilisation and L2-gain analysis for a class of switched non-linear systems with norm-bounded time-varying uncertainties. A system in this class is composed of two parts: an uncertain linear switched part and a non-linear part, which are also switched systems. When all the subsystems are stabilisable and have an L2-gain, the switched feedback control law and the switching law are designed respectively using average dwell-time method such that the corresponding closed-loop switched system is exponentially stable and achieves a weighted L2-gain.
KW - Average dwell-time method
KW - Exponential stability
KW - H-infinity control
KW - L2-gain
KW - Piecewise Lyapunov function
KW - Switched non-linear cascade systems
KW - Switching systems
UR - http://www.scopus.com/inward/record.url?scp=70449087351&partnerID=8YFLogxK
U2 - 10.1080/00207720902974686
DO - 10.1080/00207720902974686
M3 - Article
SN - 0020-7721
VL - 40
SP - 1077
EP - 1085
JO - International Journal of Systems Science
JF - International Journal of Systems Science
IS - 10
ER -