Abstract

A high order sliding mode control (HOSMC) algorithm is proposed to control the nonlinear system with parameter uncertainty in this paper, with the purpose of the chattering avoidance. According to the aircraft antiskid braking system(ABS) model, a HOSMC algorithm is presented and a bipolar sigmoid function is developed. The stability and convergence of proposed algorithm is analyzed with Lyapunov theory in finite time. The results indicate that the HOSMC algorithm has a better performance and chattering avoidance than the conditional ones. Additionally the maximum friction coefficient is acquired in a short time, and the optimal slip ratio is achieved under the runway simulation. KEYWORD: high order sliding mode; slip ratio; anti-skid braking system; aircraft

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