Guaranteed cost optimal leader-synchronization strategy design for distributed multi-agent systems with input saturation

In this article, a guaranteed cost optimal leader-synchronization control strategy design problem is investigated for the input-saturated multi-agent systems (MASs). A time-varying network topology is adopted to describe the varying network communication among the MASs in practical situation. With considering input saturation, time-varying network topology, and stochastic nonlinearities disturbance, it is literally impossible to obtain the accurate value of the associate cost function for the leader-synchronization performance. As an alternative, an upper bound of cost function is derived for the distributed MASs. Then, the guaranteed cost optimal leader-synchronization strategy is designed such that the upper bound can be minimized under a fixed domain of attraction (DOA). Meanwhile, an optimization problem is solved to maximize the DOA by the linear matrix inequality (LMI) method over an infinite horizon. Finally, a (Formula presented.) aircraft example consisting of a leader and four followers is provided to illustrate the validity of the proposed methodology.