Reset control for multi-agent systems

Abstract

The standard approach to the leader-following problem in multi-agent systems applies local static state feedback control to achieve a global target. It focuses on the asymptotic behavior while ignores the appealing transient performance. An alternative design framework based on reset control is presented to guarantee not only the asymptotic convergence but also a desired transient response. Specifically, the control protocol consists of a dynamic state feedback control law and a reset mechanism such that the controller state is reset to zero when the defined “error” signal is zero. A numerical example is included to illustrate the main result, and to compare our proposed reset control approach with the traditional static state feedback control, and dynamic state feedback control methods.