Global Fixed-Time Control for Nonlinear Systems With Unknown Control Coefficients and Dead-Zone Input

Abstract

The global fixed-time control problem is studied for uncertain nonlinear systems whose dead-zone input and control coefficients are unknown. Unlike the previous results, the control coefficients are unknown and their bounds are also not required. Firstly, a modified adaptive controller is proposed with the assistance of the adding a power integrator technique. And a logic switching mechanism is developed based on the framework of the fixed-time stability theorem to compensate the uncertain control coefficients and dead zone. Then it is proved that the fixed-time stability can be ensured for the closed-loop systems based on the proposed algorithm. Furthermore, the effectiveness of the proposed controller is verified by a simulation result.