Parameter identification and backstepping control of uncertain Lü system

Backstepping design is proposed for controlling uncertain Lü system based on parameter identification. Firstly, an effective observer is designed to identify the unknown parameter of Lü system, then the backstepping method is applied to control the uncertain Lü system to bounded points. Furthermore, it can track any continuous or discrete target. Especially, the control law designed here avoids the divergence of 1/x and 1/x2 in Ref. [Chaos, Solitons & Fractals 15 (2003) 897]. Finally numerical simulations are provided to show the effectiveness and feasibility of the developed design method.