Fixed-time consensus tracking for multiple coupled harmonic oscillators

This paper investigates the distributed fixed-time consensus tracking problem for multiple coupled harmonic oscillators under the directed topology. By adopting fast terminal sliding-mode strategies, the new distributed consensus protocols are proposed for each harmonic oscillator agent. This achieves fixed-time consensus tracking, in which the bound of settling time are independent of initial conditions. Finally, simulation examples are provided to demonstrate the performance of our theoretical results.