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Stabilizing two-dimensional stochastic systems through sliding mode control |
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| Authors: | Xinghua Liu Alessandro N Vargas Xinghuo Yu Long Xu |
| Institution: | 1. School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore;2. Universidade Tecnológica Federal do Paraná, UTFPR, Av. Alberto Carazzai 1640, Cornelio Procópio 86300–000, PR, Brazil;3. Escola d’Enginyeria de Barcelona Est, CoDAlab (Control, Dynamics and Applications), Universitat Politècnica de Catalunya Barcelona Tech, Carrer d’Eduard Maristany, 10–14, Barcelona 08930, Spain;4. School of Engineering, RMIT University, Melbourne VIC 3001, Australia |
| Abstract: | This paper presents a stabilizing control for two-dimensional stochastic differential equations. The stability concept in this study is the stability in probability. To ensure such a stability, the control is designed based on the sliding mode technique, and applied to account stochastic systems. This finding has a practical implication—the proposed control can be used to stabilize a real-time automotive electronic throttle valve. The proposed approach is verified by data collected from experiments. |
| Keywords: | Corresponding author at: Universidade Tecnológica Federal do Paraná UTFPR Av Alberto Carazzai 1640 86300–000 Cornelio Procópio PR Brazil |
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