TY - GEN
T1 - Practical Finite-Time Sliding Mode Control of Stochastic Systems Via Output Feedback
AU - Wang, Jiahui
AU - Wang, Qingrun
AU - Gu, Junhua
AU - Liu, Zhuang
AU - Shen, Xiaoning
AU - Gao, Yabin
N1 - Publisher Copyright:
© 2025 IEEE.
PY - 2025
Y1 - 2025
N2 - This paper stresses the finite-time sliding mode control (SMC) problem for a class of stochastic systems with Markov statistical properties. The control system with partial measurable system states is modeled with mismatched uncertainties. A succinct sliding variable is designed based on the measurable system states. Then, the finite-time reachability of the ideal sliding mode is analyzed and can be guaranteed by a newly designed SMC with Markov jump parameters. In the sliding mode, that the system states can converge within a finite time can be obtained by some designed solvable conditions of the controller parameters. The boundedness of the practical sliding perturbation set is subject to the mismatched uncertainties. Compared with traditional SMC, the whole convergence time of the stochastic systems can be archived within a finite time at the most, including the reaching time and the sliding time during the control process. Finally, the effectiveness of the presented control strategy is verified through a set of numerical simulation experiments.
AB - This paper stresses the finite-time sliding mode control (SMC) problem for a class of stochastic systems with Markov statistical properties. The control system with partial measurable system states is modeled with mismatched uncertainties. A succinct sliding variable is designed based on the measurable system states. Then, the finite-time reachability of the ideal sliding mode is analyzed and can be guaranteed by a newly designed SMC with Markov jump parameters. In the sliding mode, that the system states can converge within a finite time can be obtained by some designed solvable conditions of the controller parameters. The boundedness of the practical sliding perturbation set is subject to the mismatched uncertainties. Compared with traditional SMC, the whole convergence time of the stochastic systems can be archived within a finite time at the most, including the reaching time and the sliding time during the control process. Finally, the effectiveness of the presented control strategy is verified through a set of numerical simulation experiments.
KW - Finite-time accessibility
KW - Output feedback control
KW - Sliding mode control
KW - Stochastic systems
UR - https://www.scopus.com/pages/publications/105017719807
U2 - 10.1109/FASTA65681.2025.11139079
DO - 10.1109/FASTA65681.2025.11139079
M3 - 会议稿件
AN - SCOPUS:105017719807
T3 - Proceedings of the 4th Conference on Fully Actuated System Theory and Applications, FASTA 2025
SP - 481
EP - 486
BT - Proceedings of the 4th Conference on Fully Actuated System Theory and Applications, FASTA 2025
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 4th Conference on Fully Actuated System Theory and Applications, FASTA 2025
Y2 - 4 July 2025 through 6 July 2025
ER -