A Control Lyapunov Function Approach to Stabilization of Affine Nonlinear Systems with Bounded Uncertain Parameters

作者：Zhang, Wei; Su, Housheng^*; Cai, Xiushan; Guo, Hui

来源：Circuits, Systems, and Signal Processing, 2015, 34(1): 341-352.

DOI：10.1007/s00034-014-9848-8

• Nonlinear stabilization
• Robust control Lyapunov functions
• Parameter uncertainty
• Feedback linearizable systems
• Chaotic systems

This paper considers the robust stabilization problem of a class of affine nonlinear systems with bounded uncertain time-invariant parameters. A robust control Lyapunov RCLF) is introduced for the considered system. Based on the RCLF, a globally asymptotically stabilizing controller is then designed. The proposed controller is robust under the variant of system parameters. As the applications of the proposed scheme, the stabilization of uncertain feedback linearizable systems and the unified chaotic system are investigated, respectively. A numerical example on the unified chaotic system is also provided to illustrate the effectiveness of the presented method.

• 出版日期2015-1
• 单位浙江师范大学; 华中科技大学; 上海工程技术大学