On Positive Realness for Stochastic Hybrid Singular Systems
SCIE
SCOPUS
- Title
- On Positive Realness for Stochastic Hybrid Singular Systems
- Authors
- Park, Chan-Eun; Kwon, Nam Kyu; Park, Poogyeon
- Date Issued
- 2020-06
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Abstract
- This paper deals with the problem of passivity analysis and passivity-based synthesis for continuous-time stochastic hybrid singular systems (SHSSs). First, a set of linear matrix inequalities for the stochastic admissibility and passivity, which is also known as the positive real lemma, is obtained for continuous-time SHSSs. The proposed condition successfully holds a necessary and sufficient condition for the positive realness of SHSSs, whereas the existing papers in the literature have been handled only sufficient conditions. Next, the passivity-based control synthesis problem is also considered based on the new positive real lemma. The passivity-based stabilization criterion for the closed-loop system with its mode-dependent state-feedback control is expressed in terms of matrix inequality. Thus, by introducing an additional slack matrix to the non-convex conditions, the feasible conditions for the control gain are obtained in terms of linear matrix inequalities. Finally, a numerical example is provided to show the effectiveness of the result.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/107207
- DOI
- 10.1109/ACCESS.2020.3003641
- ISSN
- 2169-3536
- Article Type
- Article
- Citation
- IEEE ACCESS, vol. 8, page. 125935 - 125942, 2020-06
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