Gradients of Control Theory

Gradients in control theory refer to how small changes in a system’s inputs or parameters influence its overall behavior or output. Think of it as measuring the sensitivity of the system—how adjustments in control signals affect the outcome. By understanding these gradients, controllers can optimize their actions, fine-tuning inputs to achieve desired performance efficiently. This concept is similar to climbing a hill: gradients guide you in the direction of steepest ascent or descent, helping to reach optimal states or maintain stability in complex systems like robotics, vehicles, or industrial processes.