Parameter identification and backstepping control of uncertain Lu system

Backstepping design is proposed for controlling uncertain La system based on. parameter identification. Firstly, an effective observer is designed to identify the unknown parameter of Lu system, then the backstepping method is applied to control the uncertain La 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/x(2) in Ref. [Chaos, Solitons & Fractals 15 (2003) 897]. Finally numerical simulations are provided to show the effectiveness and feasibility of the developed design method. (C) 2003 Elsevier Science Lid. All rights reserved.