Robust finite-time H∞ control of singular stochastic systems via static output feedback |
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Authors: | Yingqi Zhang |
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Institution: | a College of Science, Henan University of Technology, Zhengzhou 450001, PR China b Department of Mathematics, Zhengzhou University, Zhengzhou 450001, PR China |
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Abstract: | This paper addresses the problem of robust finite-time stabilization of singular stochastic systems via static output feedback. Firstly, sufficient conditions of singular stochastic finite-time boundedness on static output feedback are obtained for the family of singular stochastic systems with parametric uncertainties and time-varying norm-bounded disturbance. Then the results are extended to singular stochastic H∞ finite-time boundedness for the class of singular stochastic systems. Designed algorithm for static output feedback controller is provided to guarantee that the underlying closed-loop singular stochastic system is singular stochastic H∞ finite-time boundedness in terms of strict linear matrix equalities with a fixed parameter. Finally, an illustrative example is presented to show the validity of the developed methodology. |
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Keywords: | Singular stochastic systems Singular stochastic finite-time boundedness Singular stochastic finite-time stabilization Static output feedback Parametric uncertainties Linear matrix inequalities |
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