---
publication_id: "OT-2026-000000117"
title: "System and method of automated plant control utilizing higher order polynomials for trajectory management of control signals"
published_at: "2026-09-15T19:02:30.454251Z"
canonical_url: "https://opentechnical.org/p/OT-2026-000000117"
categories:
  - "sensors-controls-machine-vision/industrial-control"
keywords:
  - "g05b19/042"
  - "g05b2219/25065"
---

# System and method of automated plant control utilizing higher order polynomials for trajectory management of control signals

## Abstract

A method of automated plant control executed by a programmable controller includes generating a template including a defined number of steps to achieve a plant parameter overall change between plant parameter overall initial and final values. Each of the defined number of steps has a respective step change between a respective step initial and final values. The template is generated based on at least a second degree polynomial function extending between the overall initial and final values. The programmable controller also determines a respective control signal value for each of the steps, the respective control signal value determined based on a relative magnitude of the step change with respect to the overall change. The programmable controller implements each of the steps in sequence by outputting the respective control signal value until a sensed current plant parameter value reaches the respective plant parameter step final value.