Abstract
In this paper, we formalize the Robust Mean Square Stability problem in the presence of deterministic LTI perturbations. In particular, we extend the robust stability notion of μ to include both deterministic and stochastic uncertainties and provide a computable sufficient condition that guarantees Robust Mean Square Stability of the closed-loop. We use an inverted pendulum example where the sensor is subject to link/attention dropout and find the trade-off between the amount of attention and fragility to model uncertainty expressed as the size of the disk margin.
| Original language | English (US) |
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| Title of host publication | 2022 European Control Conference, ECC 2022 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1623-1628 |
| Number of pages | 6 |
| ISBN (Electronic) | 9783907144077 |
| DOIs | |
| State | Published - 2022 |
| Event | 2022 European Control Conference, ECC 2022 - London, United Kingdom Duration: Jul 12 2022 → Jul 15 2022 |
Publication series
| Name | 2022 European Control Conference, ECC 2022 |
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Conference
| Conference | 2022 European Control Conference, ECC 2022 |
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| Country/Territory | United Kingdom |
| City | London |
| Period | 7/12/22 → 7/15/22 |
Bibliographical note
Funding Information:Yuanji Zou is with Department of Mechanical Engineering, University of Minnesota, 55455, USA [email protected] N. Elia is with Department of Electrical and Computer Engineering, University of Minnesota, 55455, USA [email protected] This work has been supported by the Dept. of Electrical and Computer Engineering, University of Minnesota
Publisher Copyright:
© 2022 EUCA.
Keywords
- network system
- robust control
- stochastic system