A Novel Decoupled Synchronous Control Method for Multiple Autonomous Unmanned Linear Systems: Bounded L2-Gain for Coupling Attenuation

This paper addresses the distributed optimal decoupling synchronous control of multiple autonomous unmanned linear systems (MAUS) subject to complex network dynamic coupling. The leader–follower mechanism based on neighborhood error dynamics is established and coupling term regarded as external disturbance realize cooperative each agent. Bounded L2-Gain problem for formulated into a multi-player zero-sum differential game. It shown that solution game requires coupled Hamilton–Jacobi (HJ) equations. HJ equations are transformed an algebraic Riccati equation (ARE), which can be solved obtain Nash equilibrium bounded attenuation realized by applying protocol ultimately uniform boundedness (UUB) local vector under conservative conditions proved. A simulation example provided show effectiveness proposed method.