Adaptive integral super-twisting sliding mode control for uncertain stochastic systems
- Title
- Adaptive integral super-twisting sliding mode control for uncertain stochastic systems
- Authors
- Nguyen, Ngo Phong; Yang, Hyun Jong; Oh, Hyondong; Moon, Jun
- Date Issued
- 2019-06-25
- Publisher
- Institute of Electrical and Electronics Engineers Inc.
- Abstract
- In this paper, we consider the adaptive integral super-twisting sliding mode control problem for stochastic systems with bounded uncertainties and state-multiplicative stochastic (Brownian) noise. We first introduce an integral-type sliding surface. Then, we develop the adaptive super-twisting controller which guarantees the reachability to the specified sliding surface in finite time. We also characterize a sufficient condition for stochastic stability of sliding motion in terms of a linear matrix inequality. Hence, the proposed controller first guarantees the finite-time convergence to the sliding surface and then achieves the stochastic stability of the closed-loop system in the predefined sliding surface under bounded uncertainties. Two simulation results are presented to illustrate the theoretical results and the effectiveness of the proposed control method.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/106430
- Article Type
- Conference
- Citation
- 18th European Control Conference, ECC 2019, page. 3114 - 3119, 2019-06-25
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