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Robust stability and stabilization of networked control systems with stochastic time-varying network-induced delays.
- Source :
-
Transactions of the Institute of Measurement & Control . Jun2020, Vol. 42 Issue 10, p1782-1796. 15p. - Publication Year :
- 2020
-
Abstract
- This paper investigates the robust stability analysis and state feedback controller design of networked control systems (NCSs). A stochastic network-induced delay in given interval with known lower and upper bounds is considered. Therefore, the NCS is modeled as linear system with probabilistic time-varying delay distribution. Then, the Lyapunov-Krasovskii functional (LKF) is formulated using probabilistic informations of both lower and upper bounds of the time-varying network-induced delay, and Wirtinger-based integral inequalities are used to estimate the accuracy of the resulting time derivatives and also to reduce conservatism by introducing some new cross terms. Afterwards, stability condition based on H ∞ disturbance attenuation level is expressed in terms of a set of linear matrix inequalities (LMIs), and Finsler's lemma is used to relax it by adding slack decision variables and decoupling the systems matrices from those of Lyapunov-Krasovskii. This procedure makes the state feedback controller design as simple as a variables change. Finally, a maximum allowable upper bound of the network-induced delay and state feedback controller gains are calculated by resolving the above relaxed LMIs' convex optimization problem. Practical numerical examples are provided to validate the proposed approach; the results show that the negative effects of the unpredictable network-induced delays are compensated and the stability of NCSs with high disturbance attenuation level is guaranteed. A comparative study with other results in recent researches is also given and the superiority of the proposed method in terms of robustness and conservatism reduction is shown. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01423312
- Volume :
- 42
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Transactions of the Institute of Measurement & Control
- Publication Type :
- Academic Journal
- Accession number :
- 143609884
- Full Text :
- https://doi.org/10.1177/0142331219895931