This paper investigates mode-independent stabilization of Markovian jump systems with time-varying delays via a sliding mode approach. A sufficient condition is proposed to guarantee the existence of a mode-independent sliding surface. Because the real plant regime mode is not directly accessible and instantly available, a controller is reconfigured online by calculating a detection function such that the closed-loop system converges to the sliding surface in finite time. A comparison example is presented to illustrate merits of the developed theory.
Mode-Independent Stabilization of Markovian Jump Systems With Time-Varying Delays: A Sliding Mode Approach
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Huang, R., Lin, Y., and Lin, Z. (July 27, 2012). "Mode-Independent Stabilization of Markovian Jump Systems With Time-Varying Delays: A Sliding Mode Approach." ASME. J. Dyn. Sys., Meas., Control. September 2012; 134(5): 051009. https://doi.org/10.1115/1.4006373
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