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On Designing of Sliding-Mode Control for Stochastic Jump Systems
Abstract
In this note, we consider the problems of stochastic stability and sliding-mode control for a class of linear continuous-time systems with stochastic jumps, in which the jumping parameters are modeled as a continuous-time, discrete-state homogeneous Markov process with right continuous trajectories taking values in a finite set. By using Linear matrix inequalities (LMIs) approach, sufficient conditions are proposed to guarantee the stochastic stability of the underlying system. Then, a reaching motion controller is designed such that the resulting closed-loop system can be driven onto the desired sliding surface in a limited time. It has been shown that the sliding mode control problem for the Markovian jump systems is solvable if a set of coupled LMIs have solutions. A numerical example is given to show the potential of the proposed techniques.
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Cited by
Observer-based adaptive sliding mode control for nonlinear Markovian jump systems
Li, H., Shi, P., Yao, D., & Wu, L. (2016) · Automatica · doi:10.1016/j.automatica.2015.11.007 · Cited by 533
Self-citationAdaptive Fuzzy Finite-Time Control of Nonlinear Systems With Actuator Faults
Wang, H., Liu, P. X., Zhao, X., & Liu, X. (2020) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2019.2902868 · Cited by 345
Robust Adaptive Sliding-Mode Control for Fuzzy Systems With Mismatched Uncertainties
Zhang, J., Shi, P., & Xia, Y. (2010) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2010.2047506 · Cited by 304
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Metadata
- Authors
- Shi, P., Xia, Y., Liu, G. P., & Rees, D.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2006-01
- Volume
- 51
- Issue
- 1
- Pages
- 97-103
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2138611498
- Cited by
- 649
- References
- 0
- FWCI
- 52.59
- Type
- journal article
- Language
- en
- Open access
- closed
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- Shi, P., Xia, Y., Liu, G. P., & Rees, D. (2006). On Designing of Sliding-Mode Control for Stochastic Jump Systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2005.861716
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