Uncertainties in Sampled Data Systems

Er-Wei Bai; Soura Dasgupta

doi:10.23919/ACC.1989.4790415

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Conference proceeding

Uncertainties in Sampled Data Systems

Er-Wei Bai and Soura Dasgupta

1989 American Control Conference, pp.1446-1451

06/1989

DOI: 10.23919/ACC.1989.4790415

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Abstract

The contributions of this paper are threefold. We first explore the differences in uncertainty representations and control designs between continuous time systems and discrete time systems, particularly the high frequency interpretation does not work for discrete time systems. It is shown that uncertainties appeared in sampled data systems may be highly structured, however they do not fall into any category which is currently available in the literature. Secondly, we define a measure on these uncertainties which confines a neighborhood to the nominal model in terms of frequency content, and then we propose a control design method which guarantees the stability of the closed loop system in the face of uncertainties. Last, we consider a generalization of a classical continuous time approach in representing the multiplicative uncertainty to sampled data systems by using a slightly modified sampler and present a method to calculate a frequency bound on the uncertainty in sampled data systems.

Cities and towns

Continuous time systems

Control design

Discrete time systems

Frequency

Poles and zeros

Sampled data systems

Sampling methods

Stability

Uncertainty

Details

Title: Subtitle: Uncertainties in Sampled Data Systems
Creators: Er-Wei Bai - University of Iowa
Soura Dasgupta - University of Iowa
Resource Type: Conference proceeding
Publication Details: 1989 American Control Conference, pp.1446-1451
DOI: 10.23919/ACC.1989.4790415
Publisher: IEEE
Language: English
Date published: 06/1989
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984197296902771

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