Abstract
The active aircraft defense problem is investigated for the stochastic scenario wherein a defending missile (or a defender) is employed to protect a target aircraft from an attacking missile whose pursuit guidance strategy is unknown. For the purpose of identifying the guidance strategy, the static multiple model estimator (sMME) based on the square-root cubature Kalman filter is proposed, and each model represents a potential attacking missile guidance strategy. Furthermore, an estimation enhancement approach is provided by using pseudo-measurement. For each model in the sMME, the model-matched cooperative guidance laws for the target and defender are derived by formulating the active defense problem as a constrained linear quadratic problem, where an accurate defensive interception and the minimum evasion miss distance are both considered. The proposed adaptive cooperative guidance laws are the result of mixing the model-matched optimal cooperative guidance laws in the criterion of maximum a posteriori probability in the framework of the sMME. By adopting the adaptive cooperative guidance laws, the target can facilitate the defender’s interception with the attacking missile with less control effort. Also, simulation results show that the proposed guidance laws increase the probability of successful target protection in the stochastic scenario compared with other defensive guidance laws.
Highlights
With the development of advanced pursuit guidance laws, an attacking missile can intercept a low-maneuverability target accurately
The active aircraft defense contains three aircraft: an attacking missile denoted as M, an evading target denoted as T, and a defender denoted as D
The static multiple model estimator (sMME) addresses a set of the potential models of the system, and the model-matched square-root cubature Kalman filter (SRCKF) is set up to yield model-conditioned state estimate and error covariance
Summary
With the development of advanced pursuit guidance laws, an attacking missile can intercept a low-maneuverability target accurately. In [1,2,3,4,5], the authors used optimal control theory to derive cooperative guidance laws for target and defender with the assumption that the pursuit guidance law of an attacking missile is fixed and known. Inspired by [14,15], adaptive cooperative guidance laws for the target and defender in the stochastic scenario are proposed; the proposed approach combines the sMME-SRCKF and model-matched optimal cooperative guidance laws. The adaptive guidance laws in this paper and in Reference [15] are both designed using a similar approach, which combines an adaptive estimator and model-matched optimal cooperative guidance laws, they are very different. The model-matched cooperative guidance laws are designed to consider the two sufficient conditions of successful active defense, i.e., small defender–missile miss distance and minimum missile–target evasion distance.
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