Fixed-Time Consensus Tracking for Second-Order Multiagent Systems under Disturbance

This article focuses on the topic of fixed-time consensus for second-order multiagent systems (MASs) with disturbances. Based on an integration of the nominal control part and discontinuous integral sliding control part or continuous super-twisting-like control part, some control protocols are presented to achieve consensus tracking in the fixed time. A distributed integral sliding mode (ISM) and a fixed-time convergent command filter are introduced. The performance of nominal dynamics is dominated by the nominal control part which ensures the fixed-time convergence in the ISM surface. The discontinuous sliding mode or continuous super-twisting-like part related to the ISM is utilized to compensate disturbances within fixed convergence time. In this article, we have designed the continuous fixed-time consensus tracking controllers which can eliminate the chattering phenomenon and simultaneously guarantee the convergence precision. Independent of any initial state values, the restrictive bound of the convergence time is estimated. Some fair comparisons are performed to demonstrate the merits of the proposed strategies.