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SciCAM M.S. Thesis Defense: Optimal Control of a Noncircular Wheel

Speaker Name: 
Paul Wintz
Speaker Title: 
SciCAM M.S. Student
Speaker Organization: 
Scientific Computing & Applied Mathematics M.S.
Start Time: 
Thursday, August 27, 2020 - 2:00pm
End Time: 
Thursday, August 27, 2020 - 3:00pm
Location: 
Zoom - https://ucsc.zoom.us/j/98392794735

Abstract: A model is developed of a non-circular wheel rolling on a road and colliding with a step. It is modeled as a hybrid dynamical system with a combination of continuous- and discrete-time dynamics. Input-output feedback linearization is used to design a controller to stabilize the wheel via the application of torque such that the wheel is balanced on the step. A proof of asymptotic stability is provided for the feedback linearized control. To compute an optimal control signal, the problem is discretized into a finite-dimensional constrained optimization problem and solved with a numerical solver. An elliptical wheel is presented as an example and comparisons between various implementations are provided.

Event Type: 
Adancement/Defense
Advisor: 
Qi Gong
Graduate Program: 
Scientific Computing & Applied Mathematics M.S.