Approximate miss distance formulas of proportional navigation due to time delay based on worst case analysis

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ARABIAN ARANI ALI; JALALI NAINI SEYED HAMID

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: AEROSPACE KNOWLEDGE AND TECHNOLOGY JOURNAL Year:2018 | Volume:7 | Issue:1 Page(s): 47-62

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Title

Approximate miss distance formulas of proportional navigation due to time delay based on worst case analysis

Author(s)

ARABIAN ARANI ALI | JALALI NAINI SEYED HAMID | Issue Writer Certificate

Keywords

proportional navigationQ2

time delayQ1

extremum navigation ratioQ1

normalized miss distanceQ1

Abstract

In this paper, the effect of system time delay on the miss distance of proportional navigation guidance law is studied for high-order binomial guidance and control systems. For this purpose, a linearized model is utilized in one dimension. The normalized miss distance due to heading error (HE), step, ramp, and parabolic target maneuvers, and seeker noise is computed using normalized adjoint equations. The glint, range-independent, and (semi-) active range-dependent noises are considered for the seeker, and the results are verified by straight-forward method. Moreover, the effects of system time lag, system time constant, effective navigation ratio, system order up to 30 in proportional navigation miss distance are also investigated. An extremum effective navigation ratio is also obtained to minimize the worst case miss distance with respect to the final time. Furthermore, approximate miss distance formulas are presented based on worst case analysis on final time using curve fitting for mentioned miss distance sources. Finally, the approximate formulas of steady state nondimensional coefficients due to seeker noise in terms of effective navigation coefficient, for example for system orders of 5 and 10, are obtained.

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APA: Copy

ARABIAN ARANI, ALI, & JALALI NAINI, SEYED HAMID. (2018). Approximate miss distance formulas of proportional navigation due to time delay based on worst case analysis. AEROSPACE KNOWLEDGE AND TECHNOLOGY JOURNAL, 7(1 ), 47-62. SID. https://sid.ir/paper/264171/en

Vancouver: Copy

ARABIAN ARANI ALI, JALALI NAINI SEYED HAMID. Approximate miss distance formulas of proportional navigation due to time delay based on worst case analysis. AEROSPACE KNOWLEDGE AND TECHNOLOGY JOURNAL[Internet]. 2018;7(1 ):47-62. Available from: https://sid.ir/paper/264171/en

IEEE: Copy

ALI ARABIAN ARANI, and SEYED HAMID JALALI NAINI, “Approximate miss distance formulas of proportional navigation due to time delay based on worst case analysis,” AEROSPACE KNOWLEDGE AND TECHNOLOGY JOURNAL, vol. 7, no. 1 , pp. 47–62, 2018, [Online]. Available: https://sid.ir/paper/264171/en

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