Abstract:

Aimed at the need of formation control of missile cooperative engagement, the adaptive sliding mode control theory is introduced to solve the controller design problem of formation based on the leader follower approach. Feedback precise linearization based on differential geometry theory is used to linearize the nonlinear motion model of missile and system model with follower track errors is formulated. In traditional leader follower approach, if the leader moves too fast due to the control saturated, the followers will not be able to track the desired position to keep formation. In order to overcome the disadvantage, an idea of speed control for the leader is introduced to guarantee formation keeping. Finally, an adaptive sliding mode controller is designed to overcome the problem of control input constraints. Theoretical analysis demonstrates that tracking error asymptotically converges to zero. Simulation results show that the leader is able to follow the desired path and the controller can help every missile configure desired formation. The simulation results verify stability and robustness of the formation controllers.

Key words: Cooperative engagement, Formation control, Nonlinear system, Precise linearization, Leader follower approach