Observer-Based Fixed-Time Adaptive Fuzzy Bipartite Containment Control for Multiagent Systems With Unknown Hysteresis

Abstract

This article studies the fixed-time fuzzy adaptive bipartite containment quantized control problem for nonlinear multiagent systems subject to unknown external disturbances and unknown Bouc–Wen hysteresis. The output and input control signals of the systems are quantized by sector-bounded quantizer. A disturbance observer and a fuzzy state observer are simultaneously designed to estimate unknown external disturbances and unmeasured states, respectively. Then, to solve the difficulty caused by Bouc–Wen hysteresis, a distributed control strategy is presented by using the disturbance observer. In addition, the bipartite containment control performance of multiagent systems can be realized, and the stability of the closed-loop multiagent systems can be proved to be the semi-global practical fixed-time stability by Lyapunov theory and fixed-time theory. Finally, a practical simulation example is shown to demonstrate the effectiveness of the proposed scheme.