Distributed Practical Predefined-Time Output Optimal Allocation of Resources for Heterogeneous Multi-Agent Systems

This paper addresses the issue of distributed predefined-time output optimization for heterogeneous multi-agent systems with equality constraints. A novel distributed algorithm is proposed to enable state tracking of compensator variables under regulator equations assumption. By utilizing the properties of compensator variables and strongly convex functions, a predefined-time output optimization algorithm is proposed to achieve optimal output while satisfying given constraints. A key advantage of this algorithm is its flexibility, allowing convergence time is irrespective of control parameter constraints. Furthermore, a simplified segmented predefined-time optimization algorithm is presented to achieve output optimality within the specified time, reducing the computational and transmission information among agents. Finally, the practicality of the theoretical results is validated through a numerical example.