Physics

Nonlinear system

Convex hull

Mathematics

Multi-agent system

Gene

Mathematical optimization

Regular polygon

Mathematical analysis

Artificial intelligence

Fuzzy control system

Control (management)

Chemistry

Transformation (genetics)

Geometry

Computer science

Quantum mechanics

Bounded function

Control theory (sociology)

Biochemistry

Fuzzy logic

IEEE Transactions on Fuzzy Systems

In this article, the finite-time containment control problem of the nonlinear multiagent systems (MAS) is investigated, in which the follower agents are subjected to full state constraints. The fuzzy logic system is employed to approximate the uncertain dynamic of the nonlinear MAS. A new nonlinear transformation function (NTF) is proposed, which serves as a unified tool for coping with the systems subjected to state constraints and no constraint. By combing the variable transformation with the proposed NTF, the original systems with state constraints are converted into the equivalent free-constrained systems. Moreover, as long as the boundedness of the states in transformed systems is guaranteed, the states of the original MAS do not transgress the preassigned boundaries. Based on the finite-time stability theory, the adaptive fuzzy control scheme is constructed for the transformed systems. It is proved that the outputs of all the followers are driven to converge to the convex hull spanned by the leaders in a finite time, and all the signals in the closed-loop systems are bounded in sense of mean square. The full state constraints for the followers are not violated all the time. Especially, the control structure does not need to change even there is no constraint imposes on the state. Finally, simulation examples are given to verify the effectiveness of the proposed finite-time control scheme.

Adaptive Fuzzy Containment Control for Multiagent Systems With State Constraints Using Unified Transformation Functions