ARC Lab at LSU
Adaptive Control and Robotics Lab

The ARC Lab develops mathematically certified methods that fuse adaptive control, robotics, and deep learning. Our core direction is Lyapunov-based learning for autonomy: systems that can learn online while maintaining provable closed-loop stability and safety.
The lab is launching with Omkar Sudhir Patil joining Louisiana State University as an incoming Assistant Professor (Fall 2026) in Electrical and Computer Engineering.
The Frontier and Our Answer
The next frontier of autonomy is embodied AI operating safely in the real world. ARC Lab focuses on the gap between high-capacity learning and rigorous control guarantees. We pursue frameworks where adaptation laws are paired with analyzable certificates so that stability and convergence can be verified, not just observed in simulation.
Open Research Thrusts
- Physics-aware adaptive system identification with online learning of structured dynamics
- AI-assisted Lyapunov and safety-certificate synthesis for learning-enabled control
- Autonomy on general metric spaces for transferable guarantees across robotic representations
- Lyapunov-based deep learning for PDEs
Application Frontiers
- Humanoid robotics with adaptive learning under uncertain contact dynamics
- Multi-agent and swarm autonomy with distributed guarantees
- Autonomy under intermittent and degraded feedback
- Energy, power, and physical infrastructure with decentralized constraints
PhD Recruiting (Spring 2027 and Fall 2027)
Funded PhD positions are open for Spring 2027 and Fall 2027. To apply, email opatil1@lsu.edu with subject [ARC Lab PhD] and include your CV, transcripts, and one paragraph describing a research problem you find interesting and why.
Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA.