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H ∞ bounded resilient state-feedback design for linear continuous-time systems -a robust control approach
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2011 (English)In: IFAC Proceedings Volumes: (IFAC-PapersOnline), 2011, no PART 1, 9307-9312 p.Conference paper (Refereed)
Abstract [en]

The quadratic stabilization of LTI systems by bounded resilient state-feedback controllers is addressed. The controllers are guaranteed to be non-fragile with respect to either uniform or nonuniform maximal implementation errors. The design of resilient controller relies on an LMI problem while boundedness of the coefficients (a NP-Hard problem) can be guaranteed by solving a nonconvex problem involving a BMI. The latter problem is solved using proposed locally convergent iterative LMI algorithms. Finally, an example is considered in order to illustrate the effectiveness of the approach.

Place, publisher, year, edition, pages
2011. no PART 1, 9307-9312 p.
, IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670 ; Vol. 18: Issue PART 1
Keyword [en]
Bounded controllers, Fragility, H ∞ control, Linear systems, Relaxation, Robust control, Boundedness, Control approach, Implementation error, Linear continuous-time system, LTI systems, Non-fragile, Nonconvex problem, Quadratic stabilization, Resilient controller, State-feedback controllers, Computational complexity, Linear matrix inequalities, Feedback
National Category
Control Engineering Mathematics
URN: urn:nbn:se:kth:diva-149769DOI: 10.3182/20110828-6-IT-1002.00660ScopusID: 2-s2.0-84866749131ISBN: 9783902661937OAI: diva2:743011
18th IFAC World Congress; Milano, Italy, 28 August - 2 September, 2011

QC 20140903

Available from: 2014-09-03 Created: 2014-08-27 Last updated: 2014-10-03Bibliographically approved

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