Adaptive control of nonlinearly parameterized system with unknown dead-zone input

This paper focuses on the tracking problem for a class of nonlinearly parameterized (NLP) system with dead-zone input. The nonlinear functional with unknown parameters being nonlinear form is considered without imposing any conditions on unknown parameters. All the dead-zone parameters are unknown. By constructing a novel Lyapunov functional, a simple and smooth adaptive controller is designed via virtual parameter (VP) method. Moreover, the smooth degree of the controller is not related to tracking error. Finally, numerical examples are included to shown the effectiveness and advantages of theoretical results.