Abstract:
A distributed output feedback controller is proposed to achieve fixed-time variable angular velocity rotating consensus (FVAVRC) in second-order multi-agent systems. The target moves along a circular path with an unknown time-varying angular velocity. First, a fixed-time observer is proposed to estimate the position of the dynamic target. Then, using a precise differentiator, the target's rotational angular acceleration, which is difficult to accurately measure, is estimated. In addition, an auxiliary dynamic variable is introduced to eliminate the need for measuring agents' relative velocity. By applying the bilateral limit theorem and Lyapunov stability theory, we prove that the system can achieve rotating consensus in a fixed time. Numerical simulations confirm the effectiveness of the proposed controller.