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UID:0-391@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20180103T163000

DTEND;TZID=Asia/Jerusalem:20180103T173000

DTSTAMP:20230527T141000Z

URL:https://aerospace.technion.ac.il/events/integrated-guidance-estimation
 -in-linear-quadratic-differential-games/

SUMMARY:Integrated Guidance / Estimation in Linear Quadratic Differential G
 ames
DESCRIPTION:Lecturer:Barak Or\n Faculty:Department of Aerospace Engineering
 \n Institute:Technion – Israel Institute of Technology\n Location:Classr
 oom 165\, ground floor\, Library\, Aerospace Eng.\n Zoom: \n Abstract: \n 
 Details: \n Differential Games for pursuit evasion problems have been inve
 stigated for many years. Differential games\, with linear state equations 
 and quadratic cost functions\, are called Linear Quadratic Differential Ga
 me (LQDG). In these games\, one defines two players a pursuer and an evade
 r\, where the former aims to minimize and the latter aims to maximize the 
 same cost function (zero-sum games). The main advantage in using the LQDG 
 formulation is that one gets Proportional Navigation (PN) like solutions w
 ith continuous control functions. One approach which plays a main role in 
 the LQDG literature is Disturbance Attenuation (DA)\, whereby target maneu
 vers and measurement error are considered as external disturbances. In thi
 s approach\, a general representation of the input-output relationship bet
 ween disturbances and output performance measure is the DA function (or ra
 tio).  This function is bounded by the control.\nThis work revisits and e
 laborates upon this approach.  The work contains an introduction of a rep
 resentative case study\, a “Simple Boat Guidance Problem” (SBGP)\, wit
 h perfect and imperfect information patterns. By the derivation of the ana
 lytical solution for this game\, and by running some numerical simulations
 \, we developed the optimal solution based on the critical values of the D
 A ratio. Moreover\, we will study a Missile Guidance Engagement (MGE) prob
 lem\, with and without Trajectory Shaping (TS). The qualitative and quanti
 tative properties of the MGE solution\, based on the critical DA ratio\, w
 ere studied by extensive numerical simulations\, and are shown to be diffe
 rent than the fixed DA ratio solutions. The various factors that influence
  the choice of parameters for choosing the optimal Trajectory Shaping matr
 ix will be introduced.
CATEGORIES:Seminars
LOCATION:Classroom 165\, ground floor\, Library\, Aerospace Eng.

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