Simultaneous input and state set-valued mathcal H∞-observers for linear parameter-varying systems

Mohammad Khajenejad, Sze Yong

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

Abstract

A fixed-order set-valued observer is presented for linear parameter-varying systems with bounded-norm noise and under completely unknown attack signals, which simultaneously finds bounded sets of states and unknown inputs that include the true state and inputs. The proposed observer can be designed using semidefinite programming with LMI constraints and is optimal in the minimum \mathcal{H}-{\infty}-norm sense. We show that the strong detectability of each constituent linear time-invariant system is a necessary condition for the existence of such an observer, as well as the boundedness of set-valued estimates. Furthermore, sufficient conditions are provided for the upper bounds of the estimation errors to converge to steady state values and finally, the results of such a set-valued observer are exhibited through an illustrative example.

Original languageEnglish (US)
Title of host publication2019 American Control Conference, ACC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4521-4526
Number of pages6
ISBN (Electronic)9781538679265
StatePublished - Jul 1 2019
Event2019 American Control Conference, ACC 2019 - Philadelphia, United States
Duration: Jul 10 2019Jul 12 2019

Publication series

NameProceedings of the American Control Conference
Volume2019-July
ISSN (Print)0743-1619

Conference

Conference2019 American Control Conference, ACC 2019
CountryUnited States
CityPhiladelphia
Period7/10/197/12/19

Fingerprint

Error analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Khajenejad, M., & Yong, S. (2019). Simultaneous input and state set-valued mathcal H∞-observers for linear parameter-varying systems. In 2019 American Control Conference, ACC 2019 (pp. 4521-4526). [8814909] (Proceedings of the American Control Conference; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc..

Simultaneous input and state set-valued mathcal H∞-observers for linear parameter-varying systems. / Khajenejad, Mohammad; Yong, Sze.

2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 4521-4526 8814909 (Proceedings of the American Control Conference; Vol. 2019-July).

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

Khajenejad, M & Yong, S 2019, Simultaneous input and state set-valued mathcal H∞-observers for linear parameter-varying systems. in 2019 American Control Conference, ACC 2019., 8814909, Proceedings of the American Control Conference, vol. 2019-July, Institute of Electrical and Electronics Engineers Inc., pp. 4521-4526, 2019 American Control Conference, ACC 2019, Philadelphia, United States, 7/10/19.
Khajenejad M, Yong S. Simultaneous input and state set-valued mathcal H∞-observers for linear parameter-varying systems. In 2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 4521-4526. 8814909. (Proceedings of the American Control Conference).
Khajenejad, Mohammad ; Yong, Sze. / Simultaneous input and state set-valued mathcal H∞-observers for linear parameter-varying systems. 2019 American Control Conference, ACC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 4521-4526 (Proceedings of the American Control Conference).
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