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Receding Horizon Control of Nonlinear Systems

Authors: David Q. Mayne, Hannah Michalska

Published: 1988 (Conference Paper)

Source: Proceedings of the 27th IEEE Conference on Decision and Control

Algorithm: Receding Horizon Control

DOI: 10.1109/CDC.1988.194354

Summary

Foundational paper establishing that the receding horizon (model predictive) control strategy produces a stable closed-loop system for nonlinear systems, not just linear ones. By sequentially solving finite-horizon open-loop optimal control problems online, the method provides feedback control with a stability guarantee.

Abstract

The receding-horizon control strategy provides a relatively simple method for determining feedback control for linear or nonlinear systems: the method is especially useful for the control of slow nonlinear systems, such as chemical batch processes, where it is possible to solve, sequentially, open-loop, fixed-horizon, optimal control problems online. The authors show that the method yields a stable closed-loop system when applied to nonlinear systems.

Tags

  • model predictive control

  • MPC

  • receding horizon

  • nonlinear systems

  • stability

  • optimal control