2018
DOI: 10.1155/2018/1936021
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Finite‐Time H2/H Control for Linear Itô Stochastic Systems with (x, u, v)‐Dependent Noise

Abstract: This paper deals with the problem of the H2/H∞ control based on finite-time boundedness for linear stochastic systems. The motivation for investigating this problem comes from one observation that the H2/H∞ control does not involve systems’ transient performance. To express this problem clearly, a concept called finite-time H2/H∞ control is introduced. Moreover, state feedback and observer-based finite-time H2/H∞ controllers are designed, which guarantee finite-time boundedness, H2 performance index, and H∞ pe… Show more

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Cited by 7 publications
(11 citation statements)
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“…Nowadays, the problems of FTS and FTB have been deeply investigated (see, e.g., [26][27][28][29][30][31][32][33][34][35][36]). In consideration of the merits of FTB and H 2 /H ∞ control, the finite-time H 2 /H ∞ control for stochastic systems with Wiener noise is first presented in [37], which satisfies both FTB and H 2 /H ∞ performance index. However, in many practical systems, it is not only disturbed by Wiener noise, but also by Poisson noise.…”
Section: Introductionmentioning
confidence: 99%
See 4 more Smart Citations
“…Nowadays, the problems of FTS and FTB have been deeply investigated (see, e.g., [26][27][28][29][30][31][32][33][34][35][36]). In consideration of the merits of FTB and H 2 /H ∞ control, the finite-time H 2 /H ∞ control for stochastic systems with Wiener noise is first presented in [37], which satisfies both FTB and H 2 /H ∞ performance index. However, in many practical systems, it is not only disturbed by Wiener noise, but also by Poisson noise.…”
Section: Introductionmentioning
confidence: 99%
“…(i) Unlike the model considered in [37], this paper studies the model of stochastic Poisson systems with Wiener and Poisson noises. e former considers only Wiener noise, and the latter considers both Wiener and Poisson noises.…”
Section: Introductionmentioning
confidence: 99%
See 3 more Smart Citations