Fixed‐time group consensus for multi‐agent systems with non‐linear dynamics and uncertainties
Yilun Shang · IET Control Theory and Applications · 2017
In this study, the author studies fixed‐time group consensus problem in networks of dynamic agents with intrinsic non‐linear dynamics and bounded uncertainties. Three types of distributed control protocols are proposed to achieve fixed‐time group consensus when the subgroups are connected and have inter‐group common influence. By using Lyapunov theory, algebraic graph theory, and fixed‐time stability, some conditions are derived to select the controller gains to ensure the convergence in a prescribed time regardless of the initial conditions. Numerical examples are worked out to illustrate the effectiveness of our theoretical results.