Control loop theory

Control loop theory is a framework used in control systems engineering to regulate the behavior of dynamic systems. It involves the use of feedback mechanisms to ensure that a system operates at a desired performance level or set point, even in the presence of disturbances or changes in system parameters. The fundamental components of a control loop typically include: 1. **Process**: The system or process being controlled, which can be anything from a simple mechanical system to a complex process in chemical manufacturing or robotics.

Linear–quadratic–Gaussian (LQG) control is a mathematical framework used in control theory that combines three key elements: 1. **Linear Dynamics**: The system being controlled is modeled using linear differential or difference equations. This means that the system's behavior can be described by linear relationships, allowing for a straightforward analysis and control design.