- Hybrid systems and control
- Reachability analysis and controller synthesis — Stochastic and deterministic systems
- Control of semi-automated systems
- Modeling of motor performance and control in Parkinson’s disease
Our research focuses on providing guarantees of safety and performance in cyberphysical systems through careful design of controllers and user-interfaces (for systems that are not fully automated). Many cyberphysical systems can be modeled as hybrid systems, in which continuous dynamics arise from the laws of physics, and discrete dynamics arise from the automation’s mode-logic. As computing power continues to grow and embedded automation becomes common place, advanced tools and methods are needed to analyze and control hybrid systems, especially when human interaction is required. Techniques my research group has developed have been applied to aircraft flight management systems, automated anesthesia delivery, and most recently to collaborative control of powered wheelchairs.
Another research area we focus on is characterization of biomedical systems using control theoretic techniques. In collaboration with neurologists who focus on Parkinson’s disease and neurosurgeons who focus on traumatic brain injury, we aim to identify potential biomarkers through system identification and dynamical system analysis. Such markers could be useful in early detection of disease, possible characterization of disease subtypes, as well as provide insight into faulty feedback mechanisms.
See a more detailed explanation of our current and recent research in the Hybrid Systems and Control Lab.