Smooth Attitude Tracking Control of a 3-DOF Helicopter with Guaranteed Performance

Abstract

This paper presents a new prescribed performance control scheme for the attitude tracking of the three degree-of-freedom (3-DOF) helicopter system with lumped disturbances under mechanical constraints. First, a novel prescribed performance function is defined to guarantee that the tracking error performance has a small overshoot in the transient process and converges to an arbitrary small region within a predetermined time in the steady-state process without knowing the initial tracking error in advance. Then, based on the novel prescribed performance function, an error transformation combined with the smooth finite-time control method we proposed before is employed to drive the elevation and pitch angles to track given desired trajectories with guaranteed tracking performance. The theoretical analysis of finite-time Lyapunov stability indicates that the closed-loop system is fast finite-time uniformly ultimately boundedness. Finally, comparative experiment results illustrate the effectiveness and superiority of the proposed control scheme.