Quantum mechanics

Control (management)

Engineering

Biology

Bandwidth (computing)

Multi-agent system

Statistics

Computer science

Controller (irrigation)

Computer network

Infinitesimal

Rigidity (electromagnetism)

Physics

Nonlinear system

Mathematics

Estimator

Agronomy

Lyapunov function

Mathematical analysis

Artificial intelligence

Structural engineering

Control theory (sociology)

Integrator

IEEE Transactions on Cybernetics

In this paper, finite time rigidity-based formation maneuvering control of single integrator multiagent systems is considered. The target formation graph is assumed to be minimally and infinitesimally rigid, and the desired group velocity is considered to be available only to a subset of the agents. A distributed nonsmooth velocity estimator is used for each agent to estimate the desired group velocity in finite time. Using Lyapunov and input to state stability notions, a finite time distance-based formation maneuvering controller is presented and it is proved that by using the controller, agents converge to the target formation and track the desired group velocity in finite time. Furthermore, it is demonstrated that the designed controller is implementable in local coordinate frames of the agents. Simulation results are provided to show the effectiveness of the proposed control scheme.

Finite-Time Rigidity-Based Formation Maneuvering of Multiagent Systems Using Distributed Finite-Time Velocity Estimators