Anti-windup control of discrete time switched delay systems with actuator saturation and failures
Abstract The problem of L 2-gain analysis and anti-windup (AW) fault-tolerant controller design of a class of time-varying delay discrete-time switched systems with actuator saturation and external disturbances is investigated by using the multiple Lyapunov functionals method. Firstly, for each subs...
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Nature Portfolio
2025-07-01
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| Online Access: | https://doi.org/10.1038/s41598-025-07143-x |
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| author | Mengxiang Li Xinquan Zhang |
| author_facet | Mengxiang Li Xinquan Zhang |
| author_sort | Mengxiang Li |
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| description | Abstract The problem of L 2-gain analysis and anti-windup (AW) fault-tolerant controller design of a class of time-varying delay discrete-time switched systems with actuator saturation and external disturbances is investigated by using the multiple Lyapunov functionals method. Firstly, for each subsystem, we construct an AW fault-tolerant controller consisting of a dynamic state feedback (DSF) controller and an AW compensator, such that the closed-loop system with actuator faults can meet the disturbance attenuation performance index and ensure that the state trajectories of the closed-loop system are bounded under the action of external disturbances. Then, the problem of estimating the allowable interference capacity is transformed into a constrained optimization problem. Next, a sufficient condition on the existence of the restricted L 2-gain is established, and the minimum upper bound of the restricted L 2-gain is obtained by solving the constrained optimization problem. Finally, the DSF controller gain and AW compensator gain of the AW fault-tolerant controller are obtained by solving the above two optimization problems which have been further handled. A numerical example is given to show the effectiveness and feasibility of the proposed method. |
| format | Article |
| id | doaj-art-ff7b38f067054b1dbeb3f524d014ee21 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
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| series | Scientific Reports |
| spelling | doaj-art-ff7b38f067054b1dbeb3f524d014ee212025-08-20T03:45:23ZengNature PortfolioScientific Reports2045-23222025-07-0115112910.1038/s41598-025-07143-xAnti-windup control of discrete time switched delay systems with actuator saturation and failuresMengxiang Li0Xinquan Zhang1School of Information and Control Engineering, Liaoning Petrochemical UniversitySchool of Information and Control Engineering, Liaoning Petrochemical UniversityAbstract The problem of L 2-gain analysis and anti-windup (AW) fault-tolerant controller design of a class of time-varying delay discrete-time switched systems with actuator saturation and external disturbances is investigated by using the multiple Lyapunov functionals method. Firstly, for each subsystem, we construct an AW fault-tolerant controller consisting of a dynamic state feedback (DSF) controller and an AW compensator, such that the closed-loop system with actuator faults can meet the disturbance attenuation performance index and ensure that the state trajectories of the closed-loop system are bounded under the action of external disturbances. Then, the problem of estimating the allowable interference capacity is transformed into a constrained optimization problem. Next, a sufficient condition on the existence of the restricted L 2-gain is established, and the minimum upper bound of the restricted L 2-gain is obtained by solving the constrained optimization problem. Finally, the DSF controller gain and AW compensator gain of the AW fault-tolerant controller are obtained by solving the above two optimization problems which have been further handled. A numerical example is given to show the effectiveness and feasibility of the proposed method.https://doi.org/10.1038/s41598-025-07143-xMultiple lyapunov functionalsTime-varying delaySwitched systemsAnti-windup fault-tolerant controllersL 2-gain |
| spellingShingle | Mengxiang Li Xinquan Zhang Anti-windup control of discrete time switched delay systems with actuator saturation and failures Scientific Reports Multiple lyapunov functionals Time-varying delay Switched systems Anti-windup fault-tolerant controllers L 2-gain |
| title | Anti-windup control of discrete time switched delay systems with actuator saturation and failures |
| title_full | Anti-windup control of discrete time switched delay systems with actuator saturation and failures |
| title_fullStr | Anti-windup control of discrete time switched delay systems with actuator saturation and failures |
| title_full_unstemmed | Anti-windup control of discrete time switched delay systems with actuator saturation and failures |
| title_short | Anti-windup control of discrete time switched delay systems with actuator saturation and failures |
| title_sort | anti windup control of discrete time switched delay systems with actuator saturation and failures |
| topic | Multiple lyapunov functionals Time-varying delay Switched systems Anti-windup fault-tolerant controllers L 2-gain |
| url | https://doi.org/10.1038/s41598-025-07143-x |
| work_keys_str_mv | AT mengxiangli antiwindupcontrolofdiscretetimeswitcheddelaysystemswithactuatorsaturationandfailures AT xinquanzhang antiwindupcontrolofdiscretetimeswitcheddelaysystemswithactuatorsaturationandfailures |