Journal
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Volume 61, Issue 12, Pages 6986-6994Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2014.2314057
Keywords
Integral sliding mode control (ISMC); robust control; stochastic quasi-sliding mode (SQSM); stochastic systems; time delay
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Funding
- Research Grants Council of the Hong Kong Special Administrative Region of China [CityU/113212]
- National Natural Science Foundation of China [61374031]
- Program for New Century Excellent Talents in University [NCET-12-0147]
- Alexander von Humboldt Foundation of Germany
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Integral sliding mode control (ISMC) of uncertain stochastic systems with time delay is investigated in this paper. Aiming to remove a very restrictive assumption required in most existing ISMC schemes for stochastic systems, a new ISMC approach is proposed. It is shown that the closed-loop control system trajectories can be kept on the integral sliding surface almost surely since the initial time and the stochastic stability of the sliding motion can be guaranteed in terms of linear matrix inequalities. MATLAB simulation results on a numerical example and a practical stream water quality preserving system are provided to show the effectiveness and advantage of the proposed approaches.
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