PhD Proposal by Ethan N. Evans

Event Details
  • Date/Time:
    • Wednesday December 2, 2020 - Thursday December 3, 2020
      3:30 pm - 4:59 pm
  • Location: Bluejeans
  • Phone:
  • URL: Bluejeans
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  • Fee(s):
    N/A
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Summaries

Summary Sentence: Infinite Dimensional Optimization for Optimal Control and Co-design of Stochastic Spatio-Temporal Processes

Full Summary: No summary paragraph submitted.

Ethan N. Evans
(Advisor: Evangelos A. Theodorou)

will propose a doctoral thesis entitled,

Infinite Dimensional Optimization for Optimal Control and Co-design of Stochastic Spatio-Temporal Processes

On

Wednesday, December 2 at 3:00 p.m.
on BlueJeans: https://bluejeans.com/249893730

 

Abstract
There is a rising interest in Spatio-temporal systems described by Partial Differential Equations (PDEs) among the control, robotics, and machine learning communities. Related methods usually treat these infinite dimensional problems in finite dimensions with reduced order models. This leads to committing to specific approximation schemes and the subsequent control laws cannot generalize outside of the approximation schemes. Additionally, related work does not consider spatio-temporal descriptions of noise that realistically represent the stochastic nature of physical systems. The prior work section of this proposal provides several open-loop, MPC, and explicit closed loop algorithms for control of semilinear SPDEs, based on generalizations of variational optimization for SPDEs evolving on time-indexed Hilbert spaces. It also provides a derivation of differential dynamic programming for nonlinear PDEs. I propose several extensions to the prior work, including a sampling-based feedback control architecture for open quantum systems with non-demolition measurement, an application of prior work to realistic models of soft-body robotic manipulators, a Deep Forward-Backward Stochastic Differential Equation control scheme for stochastic spatio-temporal systems, and a tensor-train decomposition approach to attain scalability in the DDP of Fields framework.

Committee

  • Prof. Evangelos A. Theodorou – School of Aerospace Engineering (advisor)
  • Prof. Yongxin Chen – School of Aerospace Engineering
  • Prof. Kyriakos Vamvoudakis – School of Aerospace Engineering
  • Prof. Andrzej Swiech – School of Mathematics
  • Prof. Mike DeWeese – UC Berkeley School of Physics
  • Dr. Matthew Bays – Sr. Research Scientist at Naval Surface Warfare Center, Panama City Division

 

Additional Information

In Campus Calendar
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Groups

Graduate Studies

Invited Audience
Faculty/Staff, Public, Graduate students, Undergraduate students
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Other/Miscellaneous
Keywords
Phd proposal
Status
  • Created By: Tatianna Richardson
  • Workflow Status: Published
  • Created On: Nov 24, 2020 - 12:15pm
  • Last Updated: Dec 2, 2020 - 2:45pm