Adaptive Dynamic Surface Control for a Class of Dead-Zone Nonlinear Systems via Output Feedback

Abstract

The paper aims to address output feedback problem for a class of nonlinear systems subjected to unknown dead-zone. High-gain K-filters is firstly designed such that unavailable states of system can be reconstructed. Then, with the help of dynamic surface control (DSC) method, an adaptive output feedback controller design is established, which can alleviate undesired influence of the dead-zone and guarantee the semi-global stability of the system. Furthermore, the $\mathcal {L_{\infty }}$ performance of tracking error is achieved by means of initialization technique. Ultimately, numerical and practical examples clarify the efficiency of the proposed solution.

Keywords

• Dynamic surface control
• adaptive control
• high-gain observer
• dead-zone
• nonlinear systems