Robust iterative learning control for linear systems with time-invariant parametric uncertainties

Dinh Hoa Nguyen, David Banjerdpongchai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper presents a novel algorithm of the robust iterative learning control for linear systems subject to timeinvariant parametric uncertainties. The design problem is formulated as a min-max problem with a quadratic performance criterion. Then, we derive an upper-bound of the worst-case performance. Applying Lagrange duality to the minimization problem leads to a dual problem which can be reformulated as an optimization problem over linear matrix inequalities. An algorithm is given afterward and its convergence properties are proved. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings
Pages4178-4183
Number of pages6
Publication statusPublished - Dec 1 2009
Externally publishedYes
EventICROS-SICE International Joint Conference 2009, ICCAS-SICE 2009 - Fukuoka, Japan
Duration: Aug 18 2009Aug 21 2009

Publication series

NameICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings

Other

OtherICROS-SICE International Joint Conference 2009, ICCAS-SICE 2009
CountryJapan
CityFukuoka
Period8/18/098/21/09

Fingerprint

Linear systems
Linear matrix inequalities
Uncertainty

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering

Cite this

Nguyen, D. H., & Banjerdpongchai, D. (2009). Robust iterative learning control for linear systems with time-invariant parametric uncertainties. In ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings (pp. 4178-4183). [5334285] (ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings).

Robust iterative learning control for linear systems with time-invariant parametric uncertainties. / Nguyen, Dinh Hoa; Banjerdpongchai, David.

ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings. 2009. p. 4178-4183 5334285 (ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nguyen, DH & Banjerdpongchai, D 2009, Robust iterative learning control for linear systems with time-invariant parametric uncertainties. in ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings., 5334285, ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, pp. 4178-4183, ICROS-SICE International Joint Conference 2009, ICCAS-SICE 2009, Fukuoka, Japan, 8/18/09.
Nguyen DH, Banjerdpongchai D. Robust iterative learning control for linear systems with time-invariant parametric uncertainties. In ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings. 2009. p. 4178-4183. 5334285. (ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings).
Nguyen, Dinh Hoa ; Banjerdpongchai, David. / Robust iterative learning control for linear systems with time-invariant parametric uncertainties. ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings. 2009. pp. 4178-4183 (ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings).
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