L2 gain-based guidance law with acceleration saturation

This paper focuses on the problem of designing a L₂, gain-scheduling state-feedback guidance law with acceleration saturation based on linear matrix inequality (LMI) approach. The planar target-missile engagement is described in a polar coordinate system and the target acceleration is viewed as unpredictable disturbance. Saturated state-feedback is placed into the convex hull of a group of linear feedbacks. Furthermore, L₂ gain guidance problem is formulated and solved as an optimization problem with parameter-dependent LMI constraints which are then converted into a finite number of LMIs to facilitate the computation. Finally, simulation results demonstrate that the proposed guidance law copes with acceleration saturation effectively and obtains excellent guidance performance in terms of miss distance.