## Abstract

This chapter presents the identification of aweb-winding system as a linear parameter-varying (LPV) system with the reel radius as the time-varying parameter. This system is nonlinear, time-varying and input?output unstable. Two identification methods are considered: in the first one, an LPV model is estimated in a single step using a novel approach based on sparse identification and set membership optimality evaluation. In the second one, several local linear time-invariant (LTI) models are identified using classical identification algorithms, and the overall LPV model is constructed as a weighted sum of the local models. The two methods are applied to experimental data measured on a real web-winding machine.

Original language | English |
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Title of host publication | Data-Driven Modeling, Filtering and Control |

Publisher | Institution of Engineering and Technology |

Pages | 57-73 |

Number of pages | 17 |

ISBN (Electronic) | 9781785617126 |

DOIs | |

State | Published - 01 Jan 2019 |

## Keywords

- Combinatorial mathematics
- Combinatorial mathematics
- Control applications to materials handling
- Control technology and theory
- Identification
- Identification algorithms
- Input-output instability
- Input-output stability
- LPV
- Linear parameter varying systems
- Linear parameter-varying system
- Local linear time-invariant models
- Local models
- Nonlinear control systems
- Nonlinear control systems
- Nonlinear system
- Other manufacturing processes
- Production equipment
- Reel radius
- Set membership optimality evaluation
- Set theory
- Simulation, modelling and identification
- Sparse identification
- Stability in control theory
- Time-varying control systems
- Time-varying parameter
- Time-varying systems
- Web-winding machine
- Weighted sum
- Winding (process)