Abstract
Multi agent system present in our daily live. The Multi agent system, starting from a few agents to tens and even millions of agents. Control of multi-agent is one of the most important problem in control theory. Many methods are used to control of multi agent, one of the method is optimal control. Approach with optimum control too many kinds. In this paper, the authors use the Serret-Frenet system. In mathematical models of multi-agent systems written, multi-Serret-Frenet dynamics systems are used. Some agents move with the initial formation from the starting position, towards the final position that is popularized. The movement of maintaining the formation and minimizing the cost of control is translated into the functional cost model. From the dynamic system model and functional model of cost is designed multi-agent control system with the optimum control approach.
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