A novel nested non-linear feedback law for global stabilisation of linear systems with bounded controls

作者：Zhou B^*; Duan G R

来源：International Journal of Control, 2008, 81(9): 1352-1363.

DOI：10.1080/00207170701760144

• bounded controls
• non-linear control
• nested non-linear functions
• state-dependent saturation functions
• global stabilisation

A novel nested non-linear feedback law for global stabilisation of a chain of integrators with bounded controls is proposed, which can be directly applied on the system without state transformation as soon as a so-called SP-stable polynomial is constructed. Then the so-called state-dependent saturation function is introduced into this novel nested non-linear feedback law to replace the standard saturation function, which can significantly improve the convergence performance of the closed-loop system. The results are then extended to a wider class of linear system that can be globally stabilised by bounded controls. Two numerical examples show the effectiveness of the proposed approach.

• 出版日期2008
• 单位哈尔滨工业大学