Date of Award
Spring 2022
Access Type
Dissertation - Open Access
Degree Name
Doctor of Philosophy in Aerospace Engineering
Department
Aerospace Engineering
Committee Chair
Dr. Richard Prazenica
First Committee Member
Dr. Troy Henderson
Second Committee Member
Dr. K. Merve Dogan
Third Committee Member
Dr. Morad Nazari
Fourth Committee Member
Dr. Sergey Drakunov
Abstract
In this work, the model predictive control problem is extended to include not only open-loop control sequences but also state-feedback control laws by directly optimizing parameters of a control policy. Additionally, continuous cost functions are developed to allow training of the control policy in making discrete decisions, which is typically done with model-free learning algorithms. This general control policy encompasses a wide class of functions and allows the optimization to occur both online and offline while adding robustness to unmodelled dynamics and outside disturbances. General formulations regarding nonlinear discrete-time dynamics and abstract cost functions are formed for both deterministic and stochastic problems. Analytical solutions are derived for linear cases and compared to existing theory, such as the classical linear quadratic regulator. It is shown that, given some assumptions hold, there exists a finite horizon in which a constant linear state-feedback control law will stabilize a nonlinear system around the origin. Several control policy architectures are used to regulate the cart-pole system in deterministic and stochastic settings, and neural network-based policies are trained to analyze and intercept bodies following stochastic projectile motion.
Scholarly Commons Citation
Wilson, Elias, "Stochastic Model Predictive Control via Fixed Structure Policies" (2022). Doctoral Dissertations and Master's Theses. 659.
https://commons.erau.edu/edt/659
