Our research focuses on theoretical, numerical, and experimental aspects of modeling, analysis, guidance, control, and optimization of nonlinear dynamical systems. We are developing revolutionary methods for solving nonlinear and nonsmooth optimal control problems leading to faster-than-real-time solutions (guidance and control) for optimal vehicle maneuvers. Recent advances have been in the flight implementation of pseudospectral optimal control theory on board several spacecraft currently in orbit, including the International Space Station. We have advanced pseudospectral optimal control theory to mathematical proofs of convergence and consistency. Our recent work involves the experimental implementation for unmanned systems (flight and ground vehicles) in both a laboratory environment and field testing. We are interested in the fundamentals of mathematical programming that lead to robust numerical methods for optimization. Our goals are to develop practical concepts and solutions to solve nonlinear nonsmooth dynamic optimization problems for real-time applications to aerospace and autonomous systems. A suite of state-of-the-art laboratories are available to experimentally test and demonstrate the advance concepts. Additional flight experiments are also being planned for demonstrations. We are seeking candidates with exceptional mathematical and computational skills who are capable of solving problems with minimal supervision.

 

key words

Aircraft; Aerospace Vehicles; Autonomous Systems; Mobile Robots and Robotics; Spacecraft; Earth Orbit; Nonlinear Systems; Mathematical Models; Guidance; Control; Optimization; Computational Methods; Pseudospectral theory

Citizenship:  Open to U.S. citizens and permanent residents

Level:  Open to Postdoctoral and Senior applicants