Ph.D. Thesis Defense: Wei Sun

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  • Date/Time:
    • Thursday April 27, 2017
      10:00 am - 12:00 pm
  • Location: Montgomery Knight Room 317
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Summary Sentence: “Pursuit Evasion and Differential Games under Uncertainties”

Full Summary: No summary paragraph submitted.

PhD Thesis Defense by

Wei Sun

Advisor: Prof. P. Tsiotras

Co-Advisor: Prof. E. A. Theodorou

“Pursuit Evasion and Differential Games under Uncertainties”

Thursday, April 27th, 2017 @ 10:00 a.m.
Montgomery Knight Building Room 317

Differential games involves multi-person decision making under conflicts in the context of dynamical systems. It has found its application on a large range of areas, including aeronautics, biology, ecology, economics, engineering, management science, operations research, etc. The decisions made by the players that join the differential game are susceptible to uncertainties that are pervasive in realistic differential game scenarios. The uncertainties that enters the system can be divided into three main categories, namely, external/environmental uncertainties, internal/dynamical uncertainties and observation uncertainties. In this research, we provide methods to deal with environmental and dynamic uncertainties. In particular, we solve pursuit evasion games under external flow fields to demonstrate how to cope with differential games under environmental uncertainties. We first recast the multiplayer pursuit evasion problem into a relay pursuer-target assignment problem and utilize generalized Voronoi diagrams to guide the assignment. Then we present an analytical approach to solve a pursuit evasion game in a linear flow field and a numerical approach that is based on reachability sets and the level set method to deal with pursuit evasion games in general flow fields. Extension of our numerical approach towards 3-dimensional space and stochastic environmental disturbance are also discussed. Finally, we present an efficient algorithm to solve general differential game problems and extend to cases subject to stochastic dynamics to handle dynamical uncertainties.

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In Campus Calendar

School of Aerospace Engineering

Invited Audience
Faculty/Staff, Public, Undergraduate students
aerospace engineering
  • Created By: Margaret Ojala
  • Workflow Status: Published
  • Created On: Apr 14, 2017 - 11:08am
  • Last Updated: Apr 14, 2017 - 11:08am