regelfunctie

Regelfunctie is a Dutch term that translates roughly to a rule-based function. It refers to a function that encodes a specific rule for computing outputs from inputs, with emphasis on the rule that governs the mapping rather than on the input–output relation alone. The exact meaning can vary by domain, but the common thread is the explicit definition of how results are produced according to a predefined rule set.

In mathematics and engineering, a regelfunctie describes a rule-based mapping. It may be a simple expression, a piecewise definition, or a more complex rule that dictates how inputs are transformed into outputs. The notion is closely related to piecewise functions, where different rules apply depending on the input region, and to rule-based algorithms in computer science.

In control theory and automation, the term is used to refer to the control law or regulation rule that determines actuator commands from the current state of a system. A regelfunctie in this context is designed to achieve objectives such as stabilization or tracking and may be static (a fixed rule) or dynamic (depending on past states or signals). Examples include state-feedback laws, proportional–integral–derivative control laws, or other rule-based control schemes.

Beyond technical fields, regelfunctie can also appear in legal, policy, or regulatory discussions to describe how a rule functions within a system—what effect it has and how it guides behavior.

Overall, regelfunctie emphasizes the rule that governs how inputs are converted into outputs, across mathematics, engineering, computing, and policy contexts.