Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach
This paper investigates the robust stability for a class of stochastic systems with both state and control inputs. The problem of the robust stability is solved via static output feedback, and we convert the problem to a constrained convex optimization problem involving linear matrix inequality (LMI...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/873578 |
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| _version_ | 1832553436762079232 |
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| author | Xin-rong Cong Long-suo Li |
| author_facet | Xin-rong Cong Long-suo Li |
| author_sort | Xin-rong Cong |
| collection | DOAJ |
| description | This paper investigates the robust stability for a class of stochastic systems with both state and control inputs. The problem of the robust stability is solved via static output feedback, and we convert the problem to a constrained convex optimization problem involving linear matrix inequality (LMI). We show how the proposed linear matrix inequality framework can be used to select a quadratic Lyapunov function. The control laws can be produced by assuming the stability of the systems. We verify that all controllers can robustly stabilize the corresponding system. Further, the numerical simulation results verify the theoretical analysis results. |
| format | Article |
| id | doaj-art-ec039f05f6e244fa8668fda0440ff40c |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-ec039f05f6e244fa8668fda0440ff40c2025-02-03T05:54:09ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/873578873578Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI ApproachXin-rong Cong0Long-suo Li1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThis paper investigates the robust stability for a class of stochastic systems with both state and control inputs. The problem of the robust stability is solved via static output feedback, and we convert the problem to a constrained convex optimization problem involving linear matrix inequality (LMI). We show how the proposed linear matrix inequality framework can be used to select a quadratic Lyapunov function. The control laws can be produced by assuming the stability of the systems. We verify that all controllers can robustly stabilize the corresponding system. Further, the numerical simulation results verify the theoretical analysis results.http://dx.doi.org/10.1155/2013/873578 |
| spellingShingle | Xin-rong Cong Long-suo Li Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach Journal of Function Spaces and Applications |
| title | Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach |
| title_full | Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach |
| title_fullStr | Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach |
| title_full_unstemmed | Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach |
| title_short | Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach |
| title_sort | analysis of robust stability for a class of stochastic systems via output feedback the lmi approach |
| url | http://dx.doi.org/10.1155/2013/873578 |
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