String Stability with Mode Constraint of Look-ahead Nonlinear Interconnected Systems with Impulsive Disturbance

In order to provide the theory foundation for vehicle formation controller design of automated highway system, in this paper some researches on the stability with mode constraint of a class of infinite-dimensional look-ahead nonlinear interconnected systems with impulsive were studied.Intuitively the string stability with mode constraint not only can guarantee the stability of steady-state of the system but also give the size relationship of the state variables when the system converges to steady-state process.Under the condition that the isolate subsystems were stable, some sufficient conditions ensuring the string stability with mode constraint of the system were obtained by using the vector Lyapunov function method and mathematical induction.A numerical example with simulations was given to show the correctness and practicability of the obtained results.