Distributed zone allocation and preservation in multi-agent systems

A method for operating a multi-agent system via control signals that preserve constraints of zone allocations of the system, comprising:

• providing a group of agents to collectively comprise the multi-agent system, the agents configured to perform functions within designated zones and to communicate via a given peer to peer command protocol;
• detecting a circumstance warranting a given command to be sent to a given agent, the command comprising a time-varying target state for the given agent;
• determining a current, bounded zone allocation for the given agent, the bounded zone allocation including a constraint defining a region within which a state of the given agent is to be maintained during operation of the multi-agent system;
• determining a current role and a current state of the given agent within the bounded zone allocation, based on at least one of a sensor output or information provided by one or more agents of the multi-agent system;
• transforming the current state of the given agent from the bounded zone allocation to an unconstrained representation using a monotonically increasing aligned diffeomorphic (mia-diffeomorphic) map;
• generating a virtual control signal for the given agent to implement the command, using a distributed adaptive control protocol and the unconstrained representation of the given agent's current state;
• transforming the virtual control signal into an actual control signal for the given agent by applying an inverse of a derivative of the mia-diffeomorphic map to the virtual control signal;
• transmitting the actual control signal for execution by the given agent, via a transmission formatted according to the current role of the given agent and the command protocol of the multi-agent system;
• observing the given agent's behavior to confirm implementation of the command, such that if the command signal is within the bounded zone allocation the agent should be observed moving to the command, and if the command signal is not within the bounded zone allocation the agent should be observed maintaining proximity to the command signal while remaining within the bounded zone allocation;
• and
• updating a zone allocation of at least one agent of the system based on the given agent behavior.