Conference Publications

[176526]
Title: Frequency-Weighted Discrete-Time LPV Model Reduction Using Structurally Balanced Truncation.
Written by: Abbas, Hossam Seddik and Werner, Herbert
in: <em>49th IEEE Conference on Decision and Control</em>. (2010).
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on pages: 4298--4303
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Abstract: This paper proposes a method for frequency-weighted discrete-time linear parameter varying (LPV) model reduction with bounded rate of parameter variation, using structurally balanced truncation with a priori (non-tight) upper error bounds for each xed parameter. For systems with both input and output weighting lters, guaranteed stability of the reduced-order model is proved as well as existence of solutions, provided that the full-order model is stable. A technique based on cone complementarity linearization is proposed to solve the associated LMI problem. Application to the model of a gantry robot illustrates the effectiveness of the approach. Moreover, a method is proposed to make the reduced order model suitable for practical LPV controller synthesis.

[176526]
Title: Frequency-Weighted Discrete-Time LPV Model Reduction Using Structurally Balanced Truncation.
Written by: Abbas, Hossam Seddik and Werner, Herbert
in: <em>49th IEEE Conference on Decision and Control</em>. (2010).
Volume: Number:
on pages: 4298--4303
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI:
URL:
ARXIVID:
PMID:

Note:

Abstract: This paper proposes a method for frequency-weighted discrete-time linear parameter varying (LPV) model reduction with bounded rate of parameter variation, using structurally balanced truncation with a priori (non-tight) upper error bounds for each xed parameter. For systems with both input and output weighting lters, guaranteed stability of the reduced-order model is proved as well as existence of solutions, provided that the full-order model is stable. A technique based on cone complementarity linearization is proposed to solve the associated LMI problem. Application to the model of a gantry robot illustrates the effectiveness of the approach. Moreover, a method is proposed to make the reduced order model suitable for practical LPV controller synthesis.