Mixed H2H∞ Control for Itô-type Stochastic Time-Delay Systems with Applications to Clothing Hanging Device
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-20
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper deals with the problem of mixed H2/H∞ control for Itô-type stochastic time-delay systems.
First, the H2/H∞ control problem for stochastic time-delay systems is presented, which considers the mean square stability, H2 control performance index, and the ability of disturbance attenuation of the closed-loop systems.
Second, by choosing an appropriate Lyapunov–Krasoviskii functional and using matrix inequality technique, some sufficient conditions for the existence of state feedback H2/H∞ controller for stochastic time-delay systems are obtained in the form of linear matrix inequalities.
Third, two convex optimization problems with linear matrix inequality constraints are formulated to design the optimal mixed H2/H∞ controller which minimizes the guaranteed cost of the closed-loop systems with known and unknown initial functions, and the corresponding algorithm is given to optimize H2/H∞ performance index.
Finally, a numerical example is employed to show the effectiveness and feasibility of the proposed method.
American Psychological Association (APA)
Qi, Yan& Zhang, Min& Yan, Zhiguo. 2020. Mixed H2H∞ Control for Itô-type Stochastic Time-Delay Systems with Applications to Clothing Hanging Device. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1195090
Modern Language Association (MLA)
Qi, Yan…[et al.]. Mixed H2H∞ Control for Itô-type Stochastic Time-Delay Systems with Applications to Clothing Hanging Device. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1195090
American Medical Association (AMA)
Qi, Yan& Zhang, Min& Yan, Zhiguo. Mixed H2H∞ Control for Itô-type Stochastic Time-Delay Systems with Applications to Clothing Hanging Device. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1195090
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195090