Abstract
This paper presents a new method for sliding mode control to create a compromise between duration of reaching phase and response rate of the stochastic time-delay systems. A natural logarithm sliding surface is first constructed and then, the asymptotic stability with probability one for the closed-loop system has been analyzed by Lyapunov method. Some practical considerations are uncertain parameter variations, environmental matched disturbances, actuator degradation, stochastic environmental mismatched disturbances, and unmodeled dynamics. Finally, the simulation results show how to adjust the response rate and the sensitivity of the closed-loop system to the variations by regulating a special parameter.
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