MDCL research philosophy relies on rigorous mathematical foundations and using them to change paradigm in science (dynamic/control theory, systems biology and flight physics), and engineering cutting edge technology (biomimicry, unmanned systems and renewable energy).
Objectives:
The MDCL is a very interdisciplinary research team. The research at the MDCL is broad, but centers around the advancements of dynamic and control theory and their novel use in a fundamental way to solve major problems/applications/phenomena in science and engineering.Â
Topics of general interest where we made significant contributions:
Online (without training) data-driven, model-free, real-time, computationally-cheap, optimization and control with stability guarantees and rigorous mathematical foundation.
Online and real-time optimization and control via Extremum Seeking (highlighted in IEEE CSS Road 2030 as a major topic).
Biophysics/biomechanics and system biology of optimized birds/insects flight physics.
Observability and partial observability for systems exhibiting extreme (nonsmooth/discontinuous) behaviors, including computationally relevant methods with mathematical rigors.
Differential geometric control theory and methods.
MDCL secured extremely competitive funds reflecting its fundamental contributions and the cutting edge path. MDCL has funds from NSF, Division of Mathematical Science; and DARPA.