 Robust finite-time H∞ control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturationYuechao Ma, Xiaorui Jia and Deyou Liu Applied Mathematics and Computation, 2016, vol. 286, issue C, 213-227 Abstract: In this paper, the problem of robust finite-time H∞ control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation is studied. First, sufficient conditions that guarantee the systems singular stochastic finite-time boundedness are derived via constructing a delay-dependent Lyapunov–Krasonskii functional and linear matrix inequalities (LMI) approaches. Then the results are extended to singular stochastic finite-time H∞ boundedness. Furthermore, with these conditions and convex optimization arithmetic, the design method of H∞ controller and conditions that ensure the H∞ disturbance attenuation level are obtained. Finally, some numerical examples are presented to illustrate the validity and efficiency of the proposed methods. Keywords: Robust finite-time H∞ control; Singular stochastic finite-time boundedness; Discrete-time singular system; Actuator saturation; Linear matrix inequality; Convex optimization problem (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:apmaco:v:286:y:2016:i:c:p:213-227 DOI: 10.1016/j.amc.2016.03.028 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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