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Predefined-time sliding mode control based on exact time disturbance observer for second-order systems with matched and mismatched disturbances.
- Source :
-
Transactions of the Institute of Measurement & Control . Jun2024, Vol. 46 Issue 10, p1871-1884. 14p. - Publication Year :
- 2024
-
Abstract
- This paper's primary motivation is to present a globally predefined-time sliding mode control (PtSMC) strategy to stabilize a class of second-order systems subjected to matched and mismatched disturbances. To achieve this, the paper proposes a new exact time disturbance observer (DOB) based on a terminal time regulator, which accurately estimates the disturbances within a prescribed time, effectively preventing the system state from escaping to infinity due to high gains and overestimation. In addition, a new predefined-time sliding mode variable with the estimation of DOB is developed to ensure a predefined-time convergence on the sliding mode phase against mismatched disturbances. The proposed DOB-based technique can alleviate the chattering resulting from the use of an overestimated gain, in contrast to the controller without employing a DOB. Furthermore, a predefined-time reaching law is introduced to guarantee a global predefined-time convergence. This paper establishes the stability of the disturbed second-order system under the proposed controller through strict Lyapunov analysis. The novelty of the proposed method lies in its global predefined-time convergence, chattering-reduced properties and robustness against matched and mismatched disturbances. Finally, numerical simulations and application examples validate the proposed methodology's effectiveness. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SLIDING mode control
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 01423312
- Volume :
- 46
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Transactions of the Institute of Measurement & Control
- Publication Type :
- Academic Journal
- Accession number :
- 177342098
- Full Text :
- https://doi.org/10.1177/01423312231198400