Wang, MinZhao, JunDimirovski, Georgi2015-12-100020-7721http://hdl.handle.net/1885/60019This 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.Keywords: Average dwell-time method; Exponential stability; H-infinity control; L2-gain; Piecewise Lyapunov function; Switched non-linear cascade systems; Cascade control systems; Differential equations; Feedback; Linear systems; Lyapunov functions; Multivariable c Average dwell-time method; Exponential stability; H-infinity control; L2-gain; Piecewise Lyapunov function; Switched non-linear cascade systems; Switching systems200910.1080/002077209029746862016-02-24