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H output feedback control for stochastic systems with randomly occurring convex-bounded uncertainties and channel fadings

Journal Article


Abstract


  • In this paper, the H∞ output feedback control problem for a class of stochastic discrete-time systems with randomly occurring convex-bounded uncertainties and channel fadings is investigated. A sequence of mutually independent random variables with known probabilistic distributions are utilized to describe the randomness that convex-bounded uncertainties appear in practical systems. The measurements with channel fadings are given by a stochastic Rice fading model which is regulated by a set of random variables with certain probability density functions. The purpose of this paper is to design an output feedback controller such that the closed-loop control system is asymptotically stable with a prescribed H∞ performance level. The less conservative results are obtained by employing the stochastic Lyapunov technique. Numerical examples are presented to illustrate effectiveness of the proposed approach.

Publication Date


  • 2020

Citation


  • Jiang, X., Xia, G., Feng, Z., & Li, T. (2020). H output feedback control for stochastic systems with randomly occurring convex-bounded uncertainties and channel fadings. Asian Journal of Control, 22(4), 1589-1603. doi:10.1002/asjc.2046

Scopus Eid


  • 2-s2.0-85063403844

Start Page


  • 1589

End Page


  • 1603

Volume


  • 22

Issue


  • 4

Abstract


  • In this paper, the H∞ output feedback control problem for a class of stochastic discrete-time systems with randomly occurring convex-bounded uncertainties and channel fadings is investigated. A sequence of mutually independent random variables with known probabilistic distributions are utilized to describe the randomness that convex-bounded uncertainties appear in practical systems. The measurements with channel fadings are given by a stochastic Rice fading model which is regulated by a set of random variables with certain probability density functions. The purpose of this paper is to design an output feedback controller such that the closed-loop control system is asymptotically stable with a prescribed H∞ performance level. The less conservative results are obtained by employing the stochastic Lyapunov technique. Numerical examples are presented to illustrate effectiveness of the proposed approach.

Publication Date


  • 2020

Citation


  • Jiang, X., Xia, G., Feng, Z., & Li, T. (2020). H output feedback control for stochastic systems with randomly occurring convex-bounded uncertainties and channel fadings. Asian Journal of Control, 22(4), 1589-1603. doi:10.1002/asjc.2046

Scopus Eid


  • 2-s2.0-85063403844

Start Page


  • 1589

End Page


  • 1603

Volume


  • 22

Issue


  • 4