Model of Optimal Trajectory Control for a Group of Small Airborne Radar Carriers in the Formation of a Radar Frame Stream


Аuthors

Nenashev V. A.1*, Kuzmenko V. P.1, Khatuntsev P. N.2, Tretiakov N. К.1

1. Saint Petersburg State University of Aerospace Instrumentation, 67, Bolshaya Morskaya str., Saint Petersburg, 190000, Russia
2. Military Academy of Aerospace Defense Marshal of the Soviet Union Georgy Zhukov, 50, Zhigareva, Tver', 170000, Russia

*e-mail: nenashev.va@yandex.ru

Abstract

This study addresses the problem of synthesizing trajectory control for a group of small aerial vehicles equipped with compact airborne radar systems and performing cooperative aerial surveillance of the Earth's surface. The objective of the research is to develop a trajectory control model for a group of compact airborne radar carriers that ensures the formation of a high-resolution radar frame stream while simultaneously improving the accuracy of estimating the parameters of the observed object based on multi-aspect measurements and satisfying motion constraints of the carriers.
The trajectory control synthesis problem is formulated as a constrained nonlinear optimization problem. Within the proposed approach, defined on a discrete time grid corresponding to radar frame formation, a kinematic model of carrier group motion, a multistatic measurement model, and a recursive computation of the covariance lower bound matrix for the estimation error of the observed object parameters are employed.
The control synthesis accounts for constraints on velocity, acceleration, minimum allowable distance between carriers, and spatial resolution. Numerical validation of the proposed method is performed using a simulation model for three scenarios of the initial position of the observed object. The obtained results confirm the effectiveness of the proposed approach for the development of group trajectory control algorithms for airborne radar carriers and for the implementation of multistatic observation modes based on such systems.

Keywords:

compact airborne radar system; group control; trajectory control; radar frame stream; multistatic radar observation

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