طراحي بهينه بدترين حالت سامانه پيشرانش هيدرازين براي يك سامانه انتقال مداري تحت عدم قطعيت مبتني بر حداكثر درست نمايي

Maximum Likelihood-Based Worst-Case Optimization Design of Hydrazine Propulsion System for aSatellite Orbital Transfer System under Uncertainty

در ﭘﮋوﻫﺶ ﺣﺎﺿﺮ ﺑﻪ ﭘﻴﺸﻨﻬﺎد ﻃﺮاﺣﻲ ﻳﻚ ﺳﺎﻣﺎﻧﻪ ﺗﻚ ﻣﺆﻟﻔﻪ اي ﻫﻴﺪرازﻳﻨﻲ، ﻣﺒﺘﻨﻲ ﺑﺮ ﺣﺪاﻛﺜﺮ درﺳﺖﻧﻤﺎﻳﻲ ﺑﺮاي ﺑﻴﺎن ﻋﺪم ﻗﻄﻌﻴﺖ ﻫﺎ، ﺑﺪون ﻫﻴﭻ ﻓﺮض ﺧﺎﺻﻲ ﺑﺮ روي ﻧﻮع ﺗﻮزﻳﻊ و ﺣﺘﻲ ﻋﺪم ﻗﻄﻌﻴﺖ در ﭘﺎراﻣﺘﺮﻫﺎي ﺗﻮزﻳﻊ ﺗﻮﺳﻂ ﻣﺠﻤﻮﻋﻪ ﺧﺎﻧﻮاده ﺟﺎﻧﺴﻮن ﭘﺮداﺧﺘﻪ ﺷﺪه اﺳﺖ. روش ﺣﺪاﻛﺜﺮ درﺳﺖ ﻧﻤﺎﻳﻲ ﺑﺮاي ﺗﺮﻛﻴﺐ داده ﻫﺎي ﺑﺎزه اي و ﺗﻨﻚ ﺑﻪ ﻳﻚ ﻓﺮﻣﻮل ﺑﻨﺪي ﺟﺪاﺳﺎزي ﺷﺪه ﺑﺮاي ﻣﺘﻐﻴﺮﻫﺎ و ﭘﺎراﻣﺘﺮﻫﺎي ﻃﺮاﺣﻲ اﻓﺰوده ﺷﺪه ﻛﻪ ﺳﺎزﮔﺎر ﺑﺎ ﻫﺮ دو ﻧﻮع ﻋﺪم ﻗﻄﻌﻴﺖ ﺷﻨﺎﺧﺘﻲ و ﻏﻴﺮ ﺷﻨﺎﺧﺘﻲ ﺑﺎ ﻫﺮ ﺳﻪ ﻧﻮع داده ﺗﻨﻚ، ﭼﻨﺪ ﺑﺎزه اي و ﺗﻚ ﺑﺎزه اي اﺳﺖ. در ﻧﻬﺎﻳﺖ ﭼﺎرﭼﻮب ﭘﻴﺸﻨﻬﺎدي ﺑﺮاي ﺳﻪ روش ﺑﻬﻴﻨﻪ ﺳﺎزي ﻃﺮاﺣﻲ ﺑﺪﺗﺮﻳﻦ ﺣﺎﻟﺖ ﺑﺮاي ﻳﻚ ﺳﺎﻣﺎﻧﻪ ﭘﻴﺸﺮاﻧﺶ ﺗﻚ ﻣﺆﻟﻔﻪ اي ﻫﻴﺪرازﻳﻦ ﭘﻴﺎده ﺳﺎزي ﺷﺪه و ﺑﺎﻳﻜﺪﻳﮕﺮ ﻣﻘﺎﻳﺴﻪ ﺷﺪه اﻧﺪ.

In this paper, a design of a hydrazine monopropellant system is proposed based on the maximum likelihood for the presentation of uncertainties, without any specific assumptions about the type of distribution and even uncertainty in distribution parameters by the johnson distributions family. The maximum likelihood method for the combination of spars point and interval data has been added to a separate formulation for design variables and parameters. This formulation is also suitable for both epistemic and aleatory uncertainty with three presentation types of spars points, single interval, and multi-interval.