In previous work, a (smooth) finite-time distributed control algorithm with time transformation was introduced for first-order multiagent systems, which guarantees convergence of the single state of agents to a time-varying leader at a-priori given, user-defined time T from any arbitrary initial conditions with bounded local control signals. In this paper, we present an extension of this previous work to second-order multiagent systems. Specifically, utilizing a user-defined finite-time interval of interest t ∈ [0, T ), we time transform this class of multiagent systems subject to the considered (smooth) distributed control algorithm to an infinite-time interval s ∈ [0, ∞) with s being the stretched time. Based on a property of this time transformation, this results in finite-time convergence as the regular time t approaches to T from any arbitrary initial conditions with bounded local control and internal signals. Finally, two numerical examples illustrate the efficacy of the proposed algorithm.
- Aircraft detection,
- Control system analysis,
- Distributed parameter control systems,
- Motion planning,
- Networked control systems,
- Software agents,
- Vibration analysis,
- Distributed control,
- Distributed control algorithms,
- Finite time intervals,
- Finite-time convergence,
- Infinite time,
- Initial conditions,
- Internal signals,
- Second orders,
- Multi agent systems
Available at: http://works.bepress.com/john-singler/52/