The distributed model predictive control (MPC) is studied for the tracking and formation problem of multi-agent system with time-varying communication topology. At each sampling instant, each agent solves an optimization problem respecting input and state constraints, to obtain its optimal control input. In the cost function for the optimization problem of each agent, the formation weighting coefficient is properly updated so that the adverse effect of the time-varying communication topology on the closed-loop stability can be counteracted. It is shown that the overall multi-agent system can achieve the desired tracking and formation objectives. The effectiveness of the results is demonstrated through two examples.
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