Geometric Control

Geometric Control is a branch of control theory that focuses on designing systems that automatically regulate themselves using geometric principles. It examines how the shape and configuration of a system's state space—the mathematical representation of all possible states—affect its behavior. By understanding these geometric characteristics, engineers can create more efficient and reliable controllers for various applications, such as robotics, aerospace, and automotive systems. Essentially, it combines mathematics and engineering to ensure systems can adapt and perform optimally in dynamic environments, maintaining stability and desired performance throughout varying conditions.