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Preview control for continuous-time singular stochastic systems
Wu, Jiang1,2; Liao, Fucheng1; Xu, Zhengguang2; Tang, Yuan Yan3; Xu, Yujie4
2019-09-01
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN0219-6913
Volume17Issue:5
Abstract

In this paper, the problem of preview control for continuous-time singular stochastic systems is studied by the augmented error system approach. First, a static output feedback is introduced to make the closed-loop system impulse-free. And through the second restricted equivalent transformation, the continuous-time singular stochastic system is transformed into a normal stochastic system and some algebra equations. Then, an assistant system is designed to overcome the difficulty of trying to make derivation to a stochastic system like in deterministic system condition. And the stochastic system after the transformation is translated to the assistant system. In order to make the output of the singular system track the reference signal as accurately as possible without static error, an integrator is introduced. Based on the system after the translation and the error equation, an augmented error system is constructed with the state vector, the error vector and the reference signal. Finally, the tracking problem for the singular stochastic system is transformed into the optimal regulating problem for the augmented error system. By the dynamic programming method, the optimal preview controller for the original singular stochastic system is obtained. The existence and uniqueness solution of the Riccati equation is discussed and the numerical analysis shows the effectiveness for the preview controller designed in this paper.

KeywordAugmented Error System Optimal Control Preview Control Singular System Stochastic System
DOI10.1142/S0219691319500371
URLView the original
Language英語English
WOS IDWOS:000485680500009
Scopus ID2-s2.0-85065996414
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Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China
2.School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, China
3.Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Macao
4.Department of Basic Courses, Beijing Union University, Beijing, 100101, China
Recommended Citation
GB/T 7714
Wu, Jiang,Liao, Fucheng,Xu, Zhengguang,et al. Preview control for continuous-time singular stochastic systems[J]. International Journal of Wavelets, Multiresolution and Information Processing, 2019, 17(5).
APA Wu, Jiang., Liao, Fucheng., Xu, Zhengguang., Tang, Yuan Yan., & Xu, Yujie (2019). Preview control for continuous-time singular stochastic systems. International Journal of Wavelets, Multiresolution and Information Processing, 17(5).
MLA Wu, Jiang,et al."Preview control for continuous-time singular stochastic systems".International Journal of Wavelets, Multiresolution and Information Processing 17.5(2019).
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