Gain-Scheduled state-feedback controllers using inexactly measured scheduling parameters: H2 and H problems

Masayuki Sato, Yoshio Ebihara, Dimitri Peaucelle

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

28 Citations (Scopus)

Abstract

In this note, we address two design problems for Linear Parameter-Varying (LPV) systems; Gain-Scheduled (GS) H2 state-feedback controller design and GS H state-feedback controller design. In sharp contrast to the methods in the literature, the scheduling parameters are supposed to be inexactly measured. The LPV systems are supposed to have polynomially parameter-dependent statespace matrices, and the controllers to be designed are supposed to be rationally parameter-dependent. Using a parametrically affine matrix, which is the inverse of Lyapunov variable, we give formulations for the design of GS H2 and H state-feedback controllers which are robust against the uncertainties in the measured scheduling parameters, in terms of parametrically affine Linear Matrix Inequalities (LMIs). As a special case, our methods include robust controller design using constant Lyapunov variables. Simple numerical examples are included to illustrate our results.

Original languageEnglish
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
Pages3094-3099
Number of pages6
Publication statusPublished - Oct 15 2010
Externally publishedYes
Event2010 American Control Conference, ACC 2010 - Baltimore, MD, United States
Duration: Jun 30 2010Jul 2 2010

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

Conference

Conference2010 American Control Conference, ACC 2010
CountryUnited States
CityBaltimore, MD
Period6/30/107/2/10

Fingerprint

State feedback
Scheduling
Controllers
Linear matrix inequalities

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Sato, M., Ebihara, Y., & Peaucelle, D. (2010). Gain-Scheduled state-feedback controllers using inexactly measured scheduling parameters: H2 and H problems. In Proceedings of the 2010 American Control Conference, ACC 2010 (pp. 3094-3099). [5531145] (Proceedings of the 2010 American Control Conference, ACC 2010).

Gain-Scheduled state-feedback controllers using inexactly measured scheduling parameters : H2 and H problems. / Sato, Masayuki; Ebihara, Yoshio; Peaucelle, Dimitri.

Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 3094-3099 5531145 (Proceedings of the 2010 American Control Conference, ACC 2010).

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

Sato, M, Ebihara, Y & Peaucelle, D 2010, Gain-Scheduled state-feedback controllers using inexactly measured scheduling parameters: H2 and H problems. in Proceedings of the 2010 American Control Conference, ACC 2010., 5531145, Proceedings of the 2010 American Control Conference, ACC 2010, pp. 3094-3099, 2010 American Control Conference, ACC 2010, Baltimore, MD, United States, 6/30/10.
Sato M, Ebihara Y, Peaucelle D. Gain-Scheduled state-feedback controllers using inexactly measured scheduling parameters: H2 and H problems. In Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 3094-3099. 5531145. (Proceedings of the 2010 American Control Conference, ACC 2010).
Sato, Masayuki ; Ebihara, Yoshio ; Peaucelle, Dimitri. / Gain-Scheduled state-feedback controllers using inexactly measured scheduling parameters : H2 and H problems. Proceedings of the 2010 American Control Conference, ACC 2010. 2010. pp. 3094-3099 (Proceedings of the 2010 American Control Conference, ACC 2010).
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