Continuum dynamical systems are systems whose state depends both on spatial location (continuum) and time (dynamics). Typically modeled using partial differential equations (PDEs), these systems are fundamental to modern engineering—from flexible structures and thermal systems to complex chemical processes and fluid flows.

The CDC Lab, led by Prof. Vivek Natarajan, is dedicated to a dual-track approach: the rigorous theoretical development and the experimental validation of control and estimation algorithms for continuum dynamical systems. While our physical platforms—such as our Single Axis Robots and Cable Robots—are the most visible part of our work, they serve to validate the "in-house" mathematical frameworks we develop using tools from finite and infinite-dimensional control theory. Our research is deeply rooted in my background in mechanical engineering and mathematics, bridging high-level theory with industrial application.

We invite you to explore the full scope of our research using the links below:

• Overview: Learn more about our research focus (motion planning, vibration control, and observer design), opportunities for students, invitation to industry partners and latest announcement of lab activities 

• Publications: Explore our theoretical contributions to control theory and infinite-dimensional systems.

• Sponsored Projects: See how our research translates into industrial applications with partners like ISRO and Applied Materials.

• Group Members: Meet the researchers and students driving these innovations.

• Teaching: Discover the academic foundations of our lab’s methodology.