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A systematic decomposition approach of nonlinear systems by combining gap metric and stability margin

Ahmadi, M ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. DOI: 10.1177/0142331221989009
  3. Publisher: SAGE Publications Ltd , 2021
  4. Abstract:
  5. In this paper, in order to control a nonlinear dynamic system via multi-model controller, we propose a systematic approach to determine the nominal local linear models. These models are selected from the local models bank and results in a reduced nominal models set that provides enough information to design a multi-model controller. To determine the initial local models bank, gap metric is used so that the distance between two successive local models is smaller than a threshold value. Then, a systematic approach that aims to get a reduced nominal models bank is developed. Based on this approach, first, a binary gap matrix is defined by combining gap metric and stability information. Then, several rows of this matrix are selected such that the sum of them becomes a non-zero vector. The proposed approach along with a designed robust controller is validated on a pH neutralization regarding to its highly nonlinear behavior. © The Author(s) 2021
  6. Keywords:
  7. Nonlinear dynamical systems ; Local linear models ; Multi-model controller ; Nonlinear behavior ; Ph neutralizations ; Robust controllers ; Stability margins ; Systematic decomposition ; Threshold-value ; Controllers
  8. Source: Transactions of the Institute of Measurement and Control ; Volume 43, Issue 9 , 2021 , Pages 2006-2017 ; 01423312 (ISSN)
  9. URL: https://journals.sagepub.com/doi/abs/10.1177/0142331221989009