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UID:0-1643@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20260318T133000

DTEND;TZID=Asia/Jerusalem:20260318T143000

DTSTAMP:20260318T081838Z

URL:https://aerospace.technion.ac.il/events/optimal-estimation-aware-motio
 n-a-control-centric-optimization-framework/

SUMMARY:Optimal Estimation-Aware Motion: A Control-Centric Optimization Fra
 mework
DESCRIPTION:Lecturer:Liraz Mudrik\n Faculty:Mechanical and Aerospace Engine
 ering Department\n Institute:Naval Postgraduate School\n Location:\n Zoom:
  https://technion.zoom.us/j/94050711666\n Abstract: This talk focuses on t
 he intersection of trajectory generation with estimation theory\, specific
 ally addressing the challenges of operating in uncertain or adversarial en
 vironments\, such as GPS-denied scenarios. In such scenarios\, trajectorie
 s must be aware of the estimation process and actively maximize informatio
 n gain. However\, coupling estimation metrics with high-fidelity nonlinear
  dynamics creates complex\, nonconvex optimal control problems that challe
 nge standard computational techniques\, such as the popular pseudospectral
  methods. Generating sensor-based trajectories naturally requires uniform 
 time spacing\, which introduces well-known limitations such as the Runge p
 henomenon and the impossibility theorem. This talk outlines a unified rese
 arch architecture that bridges the gap between high-level mission goals an
 d efficient computational methods with theoretical guarantees.\n\nFirst\, 
 to enable efficient planning in complex domains\, we introduce the mixed B
 ernstein-Fourier approximants. This representation is specifically designe
 d to encode the complex periodic behaviors inherent to missions such as ob
 server trajectory design and mine countermeasures\, significantly reducing
  the dimensionality of the search space without sacrificing accuracy.\n\nS
 econd\, we present a control-centric optimization framework that fundament
 ally reinterprets optimization algorithms as continuous-time dynamical sys
 tems. This approach provides a general theory for synthesizing solvers wit
 h tunable convergence profiles\, ranging from asymptotic to fixed and pres
 cribed-time. By leveraging results from Lyapunov stability theory\, this f
 ramework allows embedding constraints\, ensuring strictly feasible traject
 ories. This establishes a theoretical foundation for scalable autonomy\, d
 emonstrated through constrained optimization\, minimax problems\, and gene
 ralized Nash equilibrium seeking. These results pave the way for future re
 search in robust\, scalable aerospace autonomy where real-time performance
  and safety guarantees are paramount.\n\nDr. Liraz Mudrik is currently a P
 ostdoctoral Fellow in the Department of Mechanical and Aerospace Engineeri
 ng at the Naval Postgraduate School. He received his Ph.D. in Aerospace En
 gineering (direct track) from the Technion–Israel Institute of Technolog
 y in 2023\, where he also earned his B.Sc. (cum laude).\n\n&nbsp\;\n\nPlea
 se be advised that all seminars scheduled for the near future\, and until 
 further notice\, will be held online only via Zoom. This transition allows
  us to maintain our academic calendar and ensure the safety and participat
 ion of our community regardless of location. We are committed to ensuring 
 these virtual sessions are delivered promptly and effectively. We apprecia
 te your continued flexibility and look forward to seeing you in our virtua
 l seminars.\n\n&nbsp\;\n Details: \n 
CATEGORIES:Seminars,סמינרים

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