Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 346, Issue 4, Pages 349-365Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2008.11.004
Keywords
Networked control systems; Delay distribution; Distribution-dependent stability; LMIs
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Funding
- Natural Science Foundation of China (NSFC) [60704024]
- Peng [60774060]
- Natural Science Foundation of Jiangsu Province of China [BK2006573]
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Communication delays in networked control systems (NCSs) has been shown to have non-uniform distribution and multifractal nature. This paper proposes a delay distribution based stability analysis and synthesis approach for NCSs with non-uniform distribution characteristics of network communication delays. A stochastic control model related with the characteristics of communication networks is established to describe the NCSs. Then, delay distribution-dependent NCS stability criteria are derived in the form of linear matrix inequalities (LMIs). Also, the maximum allowable upper delay bound and controller feedback gain can be obtained simultaneously from the developed approach by solving a constrained convex optimization problem. Numerical examples showed that the results derived from the proposed method are less conservativeness than those derived from the existing methods. (c) 2008 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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