Hszabályozás

Hszabályozás, also known as H-regulation, is a concept within the field of robust control theory. It is a method used to design controllers for systems that are subject to uncertainties and disturbances. The goal of H-regulation is to minimize the impact of these uncertainties on the system's performance.

The "H" in H-regulation refers to the Hardy space, a mathematical space of functions that are analytic and bounded in the upper half of the complex plane. In control theory, this space is used to represent system dynamics and their frequency response. The H-regulation problem is formulated as an optimization problem where the objective is to find a controller that minimizes a specific norm (typically the H-infinity norm) of a closed-loop transfer function. This norm quantifies the worst-case gain of the system across all possible frequencies of input signals and uncertainties.

By minimizing the H-infinity norm, the controller ensures that the closed-loop system remains stable and performs adequately even in the presence of significant modeling errors, external disturbances, or noise. The design process often involves techniques like linear matrix inequalities (LMIs) or Riccati equations. H-regulation is widely applied in various engineering domains, including aerospace, robotics, and process control, where robustness to uncertainties is a critical requirement for reliable operation.