Finite-Time <italic>H∞</italic> Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation Constraint
In this article, the finite-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> control problem for singular positive Markovian jump systems with time-varying delay and saturation constraint was studied. Firstly, considering t...
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2024-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/10753593/ |
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| author | Xuejing Ren Bo Li Junjie Zhao |
| author_facet | Xuejing Ren Bo Li Junjie Zhao |
| author_sort | Xuejing Ren |
| collection | DOAJ |
| description | In this article, the finite-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> control problem for singular positive Markovian jump systems with time-varying delay and saturation constraint was studied. Firstly, considering the discontinuities caused by the mode-dependent singular matrix and Markov jump switching behavior, a state feedback controller is designed to guarantee the positivity and mean-square locally finite-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> stability of the considered system. Secondly, the maximum finite-time domain of attraction of the considered system subject to input saturation is estimated. Finally, to show the effectiveness of our control strategy, the simulation results are given. |
| format | Article |
| id | doaj-art-55663a5e58a0401280f99f4940680c79 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-55663a5e58a0401280f99f4940680c792024-11-22T00:01:08ZengIEEEIEEE Access2169-35362024-01-011217008917009710.1109/ACCESS.2024.349934810753593Finite-Time <italic>H∞</italic> Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation ConstraintXuejing Ren0https://orcid.org/0009-0005-5923-1422Bo Li1https://orcid.org/0000-0002-9642-4910Junjie Zhao2https://orcid.org/0000-0003-3475-2908School of Sciences, Changzhou Institute of Technology, Changzhou, ChinaSchool of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, ChinaSchool of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, ChinaIn this article, the finite-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> control problem for singular positive Markovian jump systems with time-varying delay and saturation constraint was studied. Firstly, considering the discontinuities caused by the mode-dependent singular matrix and Markov jump switching behavior, a state feedback controller is designed to guarantee the positivity and mean-square locally finite-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> stability of the considered system. Secondly, the maximum finite-time domain of attraction of the considered system subject to input saturation is estimated. Finally, to show the effectiveness of our control strategy, the simulation results are given.https://ieeexplore.ieee.org/document/10753593/Finite-time H∞ controller designsaturation constraintsingular positive systemsoptimize control |
| spellingShingle | Xuejing Ren Bo Li Junjie Zhao Finite-Time <italic>H∞</italic> Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation Constraint IEEE Access Finite-time H∞ controller design saturation constraint singular positive systems optimize control |
| title | Finite-Time <italic>H∞</italic> Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation Constraint |
| title_full | Finite-Time <italic>H∞</italic> Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation Constraint |
| title_fullStr | Finite-Time <italic>H∞</italic> Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation Constraint |
| title_full_unstemmed | Finite-Time <italic>H∞</italic> Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation Constraint |
| title_short | Finite-Time <italic>H∞</italic> Optimize Controller Design for Singular Positive Markovian Jump Delay Systems With Saturation Constraint |
| title_sort | finite time italic h x221e italic optimize controller design for singular positive markovian jump delay systems with saturation constraint |
| topic | Finite-time H∞ controller design saturation constraint singular positive systems optimize control |
| url | https://ieeexplore.ieee.org/document/10753593/ |
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