 Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functionalKhanh Hieu Nguyen and Sung Hyun Kim Mathematics and Computers in Simulation (MATCOM), 2024, vol. 215, issue C, 69-81 Abstract: This paper proposes improved stability and stabilization criteria that can increase the upper bound of sampling interval for the sampled-data systems while decreasing the computational complexity. To realize such improvement, an enhanced looped-functional is devised so that it can include 1) two time integrals of the weighted state derivative and 2) a single-integral quadratic terms with an augmented vector stacked with the state and its derivative. In addition, to aid the efficient use of the looped-functional, two zero equalities are newly established in the main derivation, which plays a key role in reinforcing the relationship between the time integrals of the weighted state derivative and other considered states. Furthermore, an improved free-matrix-based integral inequality is provided to obtain a tight upper bound on the single-integral quadratic terms in the stability analysis and control synthesis process. Finally, the validity of proposed method is verified through three numerical examples. Keywords: Sampled-data control; Looped-functional; Free-matrix-based integral inequality (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:215:y:2024:i:c:p:69-81 DOI: 10.1016/j.matcom.2023.08.015 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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