Abstract
AbstractCooperative output regulation problem has been studied on the basis of an observer which is capable of estimating the state of the leader system in a distributed fashion. However, in the literature, the convergence rate is at best exponential with infinite settling time. To improve the transient performance of the closed‐loop system, a prescribed‐time distributed control law is synthesized to solve the cooperative output regulation problem for a class of linear multi‐agent systems with external disturbances. Different from existing works, we first design a distributed observer to estimate the state of the dynamic leader in the fixed time which is independent of the initial conditions. The design of such an observer extends the results from a homogeneous multi‐agent system to a heterogeneous one. And then a time‐varying distributed control law is designed on the basis of the parametric Lyapunov function technique. The efficiency of our design has been validated in the control of the lateral directional dynamics of aircraft systems.
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