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A gaussian sum method to analyze bounded acceleration guidance systems
, Article IEEE Transactions on Aerospace and Electronic Systems ; Volume 53, Issue 4 , 2017 , Pages 2060-2076 ; 00189251 (ISSN) ; Nobahari, H ; Sharif University of Technology
Abstract
To analyze a highly nonlinear dynamical system, it is necessary to evaluate the time evolution of the probability density function (pdf) of the states. In this paper, a novel Gaussian sum method is proposed to approximate the non-Gaussian pdf of a dynamical system whose nonlinear elements depend only on a single state variable. Using the Chapman-Kolmogorov equation, a set of recursive equations is derived to propagate the mean, covariance, and weight of the Gaussian sum components. There are several multiple integrals in the recursive equations which are analytically reduced to single integrals. As an application, the proposed approach is applied to statistically analyze the engagement of...
Analytical Deriviation of a Cooperative Guidance Law against Maneuvering Targets
, Ph.D. Dissertation Sharif University of Technology ; Nobahari, Hadi (Supervisor)
Abstract
In the first part of the thesis, based on the optimal control theory, a novel approach to derive a cooperative guidance law for two pursuers with an arbitrary-order linear dynamics against one zero-lag evader with random step maneuver is proposed. This approach is intended to minimize the mean value of the resultant control effort taken over a set of possible evader maneuvers which is modeled as step function, the parameters of which are unknown. Since the resultant control effort is the minimum effort among the pursuers, we encounter the nonlinear “minˮ function in the performance index. By introducing binary parameters, it is changed to a linear function including binary parameters and...