System modeling and control involves creating mathematical models to represent dynamic systems and developing strategies to regulate their behavior. It applies to various fields, including engineering, economics, and biology, to predict system responses to inputs. Control theory focuses on designing feedback mechanisms that stabilize or optimize system performance. Techniques like PID controllers, state-space analysis, and optimal control are commonly used. Effective system modeling and control improve efficiency, reliability, and safety in complex systems like robotics, manufacturing, and transportation.