H∞ tracking control for unknown nonlinear system based on augmented matrix algorithm

Yongfeng Lv, Xuemei Ren*, Linwei Li, Jing Na

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Based on the augmented matrix and approximate dynamic programming algorithms, the H∞ tracking control problem for unknown nonlinear system is addressed in this paper. An identifier NN is first used to approximate the unknown system. An augmented matrix based on the desired trajectory and system state is then constructed using the identifier, such that the tracking control problem is transformed into the regulation one. We use another NN to approximate the performance index function of the HJI equation, such that H∞ tracking control pairs are calculated without solving the HJI equation. Moreover, we use an estimation algorithm to estimate unknown parameters in neural network. Finally, a simulation is presented to demonstrate the validity of the proposed method.

Original languageEnglish
Title of host publicationInnovative Techniques and Applications of Modelling, Identification and Control - Selected and Expanded Reports from ICMIC 2017
EditorsJing Na, Xing Wu, Quanmin Zhu
PublisherSpringer Verlag
Pages1-12
Number of pages12
ISBN (Print)9789811072116
DOIs
Publication statusPublished - 2018
Event9th International Conference on Modelling, Identification and Control, ICMIC 2017 - Kunming, China
Duration: 10 Jul 201712 Jul 2017

Publication series

NameLecture Notes in Electrical Engineering
Volume467
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference9th International Conference on Modelling, Identification and Control, ICMIC 2017
Country/TerritoryChina
CityKunming
Period10/07/1712/07/17

Keywords

  • Adaptive dynamic programming
  • Augmented matrix
  • Estimation algorithm
  • H∞ control

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