Novel Equalities for Stability Analysis of Asynchronous Sampled-Data Systemsopen access
- Authors
- Kwon, Nam Kyu; Lee, Seok Young
- Issue Date
- 2020
- Publisher
- Institute of Electrical and Electronics Engineers Inc.
- Keywords
- Sampled data systems; Stability criteria; Integral equations; Linear matrix inequalities; Symmetric matrices; Numerical stability; Asynchronous sampled-data system; stability analysis; integral inequality; equalities; looped-functional; linear matrix inequalities
- Citation
- IEEE Access, v.8, pp 177195 - 177205
- Pages
- 11
- Journal Title
- IEEE Access
- Volume
- 8
- Start Page
- 177195
- End Page
- 177205
- URI
- https://scholarworks.bwise.kr/sch/handle/2021.sw.sch/3691
- DOI
- 10.1109/ACCESS.2020.3026736
- ISSN
- 2169-3536
- Abstract
- This paper is concerned with the stability analysis problems of asynchronous sampled-data systems with use of a input-delay approach, where a sampled-data system can be reformulated into a time-delay system having incremental delays. For these systems, this paper introduces a new looped-functional to utilize both integral states and their interval-normalized ones. Utilization of these two types of integral state variables in a construction of stability conditions has been effective in reducing the conservatism. Further, generalized equalities are proposed for the case utilizing these two types of integral states. The sampled-data system formulation consists of a sampled state, a system state and its derivative. Here, the sampled state between two consecutive sampling instants is a constant value and thus can be eliminated by an integration with Legendre polynomials of positive degrees. Consequently, the system formulation turns into the equalities consisting of state variables, sampled-state variables, integral state variables and their interval-normalized ones without additional slack matrices. Based on the proposed equalities, a large computational burden can be reduced while reducing the conservatism. The effectiveness of the proposed approaches is demonstrated via three numerical examples for the stability analysis of asynchronous sampled-data systems.
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