Abstract
In this study, we propose a predefined-time multi-agent approach for multi-objective optimization. Predefined-time optimization is an optimization approach that can converge to a state that is extremely close to an optimal solution at a given time. A time-base generator is derived and applied to the optimization approaches for achieving predefined-time optimization. The multi-objective optimization problem is reformulated as a distributed optimization problem and thus solved in a private and safe manner. For distributed optimization, a multi-agent system (MAS) with time-base generators is developed for predefined-time optimization, and its convergence and speed are proven. Several examples confirm the validity of the results.
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