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Nonlinear Model Predictive Control Using State-space Recurrent Multi-dimensional Taylor Network

Published: 12 October 2018 Publication History

Abstract

In this paper, we propose a discrete-time infinite horizon nonlinear model predictive control (QIH-NMPC) based on state-space recurrent multi-dimensional Taylor network (RMTN). The purpose of this paper is to construct a state-space RMTN to be used as internal predictive model for QIH-NMPC and train this network by backpropagation through time (BPTT) algorithm. The multi-dimensional Taylor network (MTN) differs from the existing neural network (NN) on its structure and dynamic performance. RMTN gains advantages over recurrent neural network (RNN) on its training efficiency and ease of use, thus it reduces the on-line nonlinear optimization burden and enhances the efficiency of computation. The stability of closed loop system is guaranteed via Lyapunov stability theory. Finally, a numeric example is given to illustrate the effectiveness of the proposed design approach.

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      ICCMA 2018: Proceedings of the 6th International Conference on Control, Mechatronics and Automation
      October 2018
      198 pages
      ISBN:9781450365635
      DOI:10.1145/3284516
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      • SFedU: Southern Federal University
      • University of Alberta: University of Alberta

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      Published: 12 October 2018

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      Author Tags

      1. Model predictive control
      2. Multi-dimensional Taylor network
      3. Nonlinear control
      4. Recurrent state-space network

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