Prescribed-Time Consensus and Containment Control of Networked Multiagent Systems

By Yujuan Wang, Yongduan Song, David John Hill, Miroslav Krstic. IEEE Transactions on Cybernetics, 2019

627 citations recorded by the source corpus.

In this paper, we present a new prescribed-time distributed control method for consensus and containment of networked multiple systems. Different from both regular finite-time control (where the finite settling time is not uniform in initial conditions) and the fixed-time control (where the settling time cannot be preassigned arbitrarily), the proposed one is built upon a novel scaling function, resulting in prespecifiable convergence time (the settling time can be preassigned as needed within any physically allowable range). Furthermore, the developed control scheme not only ensures that all the agents reach the average consensus in prescribed finite time under undirected connected topology, but also ensures that all the agents reach a prescribed-time consensus with the root’s state being the group decision value under the directed topology containing a spanning tree with the root as the leader. In addition, we extend the result to prescribed-time containment control involving multiple leaders under directed communication topology. Numerical examples are provided to verify the effectiveness and the superiority of the proposed control.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/e2bdca48cdb9e2e19390c3cb9ea5d5b6514f9d4b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Xu Jin
2. Frank L. Lewis
3. Hefu Ye
4. Cheng Hu
5. Haibo He
6. Haijun Jiang
7. Yongduan Song
8. C. Wen

In Control and Systems Engineering

1. Haibo He
2. Xu Jin
3. Frank L. Lewis
4. Hefu Ye
5. Cheng Hu
6. Haijun Jiang
7. Yongduan Song
8. Derong Liu

Citations in the corpus

• Adaptive Fixed-Time Control for MIMO Nonlinear Systems With Asymmetric Output Constraints Using Universal Barrier Functions (2019, methodology): “More recently, instead of relying on the non-Lipschitz Lyapunov analysis as in the fixed-time control literature, some pioneering works [6]–[9] introduce the concept of prescribed finite-time control using time-dependent state”
• Fixed/Preassigned-Time Synchronization of Complex Networks via Improving Fixed-Time Stability (2020, background): “In addition, in [30], the prescribed-time consensus of multiagent systems was initially discussed by designing a new controller with time varying and infinite feedback gains.”
• Prescribed-Time Control and Its Latest Developments (2022, background): “[1], has brought much vitality to finite-time (FT) control, attracting increasing attention from the control community and motivating numerous follow-up studies on this important field during the past few years (see [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16”