Fixed-Time Bipartite Consensus of Nonlinear Multi-Agent Systems via Fuzzy Optimization and Quantized Control
Abstract:
In this paper, a fixed-time optimized control scheme with prescribed performance is presented for bipartite consensus of nonlinear multi-agent systems (MASs). To enforce predefined transient and steady-state performance within a fixed time, a fixed-time prescribed performance function (FTPPF) is introduced. The control design is achieved via an identifier-actor-critic framework that approximates the solution to the Hamilton-Jacobi-Bellman equation. Unknown system dynamics are compensated by fuzzy logic systems, and a rounding quantizer processes the signal of the leader to reduce the communication costs. The proposed method ensures all consensus errors converge with prescribed performance bounds in a fixed time. Simulation results validate the theoretical findings.
Index Terms: Fixed-time prescribed performance function (FTPPF), multi-agent systems (MASs), optimal control, bipartite consensus
Published in:The International Journal of Intelligent Control and Systems (Volume: 30, Issue: 4, 2025-12-20)
Page(s):295 - 306