Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple Constraints
This paper proposes a prescribed performance tracking control scheme for a category of nonlinear stochastic time-delay systems with input saturation and state asymmetric time-varying constraints. First, to solve the non-differentiable problem caused by input saturation, a smooth nonlinear function w...
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MDPI AG
2025-01-01
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| Series: | Actuators |
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| Online Access: | https://www.mdpi.com/2076-0825/14/1/19 |
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| author | Man Zhang Ru Chang Ying Wang |
| author_facet | Man Zhang Ru Chang Ying Wang |
| author_sort | Man Zhang |
| collection | DOAJ |
| description | This paper proposes a prescribed performance tracking control scheme for a category of nonlinear stochastic time-delay systems with input saturation and state asymmetric time-varying constraints. First, to solve the non-differentiable problem caused by input saturation, a smooth nonlinear function was utilized to approximate the saturation function. A nonlinear mapping technique was employed to transform the constrained problem into a bounded convergence problem. The time-delay problem was then solved by constructing the corresponding Lyapunov–Krasovskii function. The error feedback controller was constructed by combining the backstepping technique, the dynamic surface technique, the neural network approximation technique, and the adaptive control method. Based on stochastic mean-square stability theory, all signals in the closed-loop system are proven to be bounded under the designed control scheme. Also, this scheme ensures that the system states always stay within the constraint range, and the tracking error meets the prescribed performance constraint. Finally, the feasibility and superiority of the proposed control scheme were validated through simulation. |
| format | Article |
| id | doaj-art-54f8268e61fa4473aadbfd98d6f339d4 |
| institution | Kabale University |
| issn | 2076-0825 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Actuators |
| spelling | doaj-art-54f8268e61fa4473aadbfd98d6f339d42025-01-24T13:15:11ZengMDPI AGActuators2076-08252025-01-011411910.3390/act14010019Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple ConstraintsMan Zhang0Ru Chang1Ying Wang2School of Automation and Software Engineering, Shanxi University, Taiyuan 030006, ChinaSchool of Automation and Software Engineering, Shanxi University, Taiyuan 030006, ChinaSchool of Automation and Software Engineering, Shanxi University, Taiyuan 030006, ChinaThis paper proposes a prescribed performance tracking control scheme for a category of nonlinear stochastic time-delay systems with input saturation and state asymmetric time-varying constraints. First, to solve the non-differentiable problem caused by input saturation, a smooth nonlinear function was utilized to approximate the saturation function. A nonlinear mapping technique was employed to transform the constrained problem into a bounded convergence problem. The time-delay problem was then solved by constructing the corresponding Lyapunov–Krasovskii function. The error feedback controller was constructed by combining the backstepping technique, the dynamic surface technique, the neural network approximation technique, and the adaptive control method. Based on stochastic mean-square stability theory, all signals in the closed-loop system are proven to be bounded under the designed control scheme. Also, this scheme ensures that the system states always stay within the constraint range, and the tracking error meets the prescribed performance constraint. Finally, the feasibility and superiority of the proposed control scheme were validated through simulation.https://www.mdpi.com/2076-0825/14/1/19stochastic time-delay systemsinput saturationstate asymmetric time-varying constraintsprescribed performance tracking control |
| spellingShingle | Man Zhang Ru Chang Ying Wang Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple Constraints Actuators stochastic time-delay systems input saturation state asymmetric time-varying constraints prescribed performance tracking control |
| title | Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple Constraints |
| title_full | Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple Constraints |
| title_fullStr | Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple Constraints |
| title_full_unstemmed | Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple Constraints |
| title_short | Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple Constraints |
| title_sort | prescribed performance tracking control for nonlinear stochastic time delay systems with multiple constraints |
| topic | stochastic time-delay systems input saturation state asymmetric time-varying constraints prescribed performance tracking control |
| url | https://www.mdpi.com/2076-0825/14/1/19 |
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