Adaptive fixed-time inverse optimal consensus of multi-agent systems with limited-time interval state constraints

Authors：Yan, Lei; Liu, Zhi^*; Chen, C. L. Philip; Zhang, Yun; Wu, Zongze

Source：Information Sciences, 2024, 661: 119884.

DOI：10.1016/j.ins.2023.119884

• Fixed-time
• Adaptive inverse optimal
• Multi-agent systems
• State constraints

This article presents a study on fixed -time adaptive fuzzy inverse optimal consensus for multiagent systems (MASs) subject to limited -time interval state constraints. To handle the constraints that occur within a limited -time interval during the system's operating cycle, we introduce a shifting function to shift the boundary and a state -dependent transformation function to transform the constrained MASs into non -constrained ones. We then propose an adaptive fixed -time inverse optimal consensus controller that achieves the convergence of consensus error within a fixed -time and inverse optimality without directly learning the solution of the Hamilton-Jacobi-Bellman (HJB) equations. To establish the criteria for fixed -time stabilization, we design an auxiliary controller instead of the auxiliary system and introduce two Lyapunov functions to prove the inverse optimality and fixed -time stabilization. The developed consensus scheme ensures that the synchronization error asymptotically converges to a user -predefined region within a fixed settling time. We validate the effectiveness of the developed scheme through a simulation example.

• Institution
  广东工业大学; 南阳理工学院