Observer design for sampled-data systems with unknown inputs and uncertainties based on quasi sliding motion

Thang Nguyen, Guido Herrmann, Christopher Edwards

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

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Abstract

In this paper, the state and unknown input estimation problem is addressed for a sampled-data system whose dynamics is affected by external signals and uncertainties. Unlike the numerous sliding mode observers for dynamical continuous-time systems which employ a nonlinear switching injection term to force the state errors to converge to zero in finite time, the observer design problem for sampled-data systems is often faced with limitations on the hardware, where the sampling time period cannot be made arbitrarily small. Hence, an approximate implementation of an observer, which is designed for a continuous-time system, is not always suitable in the sampled-data context. By exploiting the quasi-sliding motion concept, we propose an observer which takes into account the sampling time period. A theoretical analysis is provided to formally show the convergence of the observer. In the formulation, estimates of the unknown inputs are also given. Simulation results are shown to illustrate the efficacy of the proposed method.

Original languageEnglish
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages3490-3495
Number of pages6
Volume2018-June
ISBN (Print)9781538654286
DOIs
Publication statusPublished - 16 Aug 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: 27 Jun 201829 Jun 2018

Conference

Conference2018 Annual American Control Conference, ACC 2018
CountryUnited States
CityMilwauke
Period27/06/1829/06/18

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    Nguyen, T., Herrmann, G., & Edwards, C. (2018). Observer design for sampled-data systems with unknown inputs and uncertainties based on quasi sliding motion. In 2018 Annual American Control Conference, ACC 2018 (Vol. 2018-June, pp. 3490-3495). [8430759] Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.23919/ACC.2018.8430759