Learning model predictive control with long short‐term memory networks. (7th April 2021)

• Record Type: Journal Article
• Authors: Terzi, Enrico; Bonassi, Fabio; Farina, Marcello; Scattolini, Riccardo
• Other Names: Müller Matthias A. guestEditor.; Allgöwer Frank guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 18(2021)
• Page Start: 8877
• Page End: 8896
• Publication Date: 2021-04-07
• Subjects: learning‐based control -- long short‐term memory neural networks -- machine learning -- nonlinear model predictive control -- output feedback predictive control; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5519
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: This article analyzes the stability‐related properties of long short‐term memory (LSTM) networks and investigates their use as the model of the plant in the design of model predictive controllers (MPC). First, sufficient conditions guaranteeing the Input‐to‐State stability (ISS) and Incremental Input‐to‐State stability ( δ ISS) of LSTM are derived. These properties are then exploited to design an observer with guaranteed convergence of the state estimate to the true one. Such observer is then embedded in a MPC scheme solving the tracking problem. The resulting closed‐loop scheme is proved to be asymptotically stable. The training algorithm and control scheme are tested numerically on the simulator of a pH reactor, and the reported results confirm the effectiveness of the proposed approach.