Preserving and Achieving Passivity-Short Property Through Discretization
- Authors
- Joo, Youngjun; Harvey, Roland; Qu, Zhihua
- Issue Date
- Oct-2020
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Citation
- IEEE TRANSACTIONS ON AUTOMATIC CONTROL, v.65, no.10, pp 4265 - 4272
- Pages
- 8
- Journal Title
- IEEE TRANSACTIONS ON AUTOMATIC CONTROL
- Volume
- 65
- Number
- 10
- Start Page
- 4265
- End Page
- 4272
- URI
- https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/159501
- DOI
- 10.1109/TAC.2019.2954361
- ISSN
- 0018-9286
1558-2523
- Abstract
- Although passivity has been proven to be quite useful, it excludes a majority of dynamic systems in applications, and typically, the property cannot be preserved through discretization. To overcome these shortcomings, the class of passivity-short (PS) systems is investigated in this article, and canonical forms are derived in both continuous-time and discrete-time domains. Explicit conditions are found to guarantee the PS property through discretizing PS/non-PS systems and, for those that do not satisfy the conditions, two designs of output feedback controls are presented to make sampled-data systems PS, regardless of the PS property of original continuous-time systems. One of the designs is in the discrete-time domain, and the other is in the continuous-time domain. The control design to ensure the PS property in the continuous-time domain is also developed. These results provide a full description of PS systems in both domains as well as their relationship through discretization.
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