Semi-Markov jump linear systems (S-MJLSs) are more general than Markov jump linear systems in modeling practical systems. This paper investigates the control problem for a class of semi-Markov jump linear systems with time-varying delays. The sojourn-time partition technique is firstly proposed for the delayed stochastic switching system. A sufficient condition for designing the state feedback controller is then established. Moreover, the sufficient condition is expressed as a set of linear matrix inequalities which can be readily solved. A numerical example illustrates the effectiveness of the proposed controller design technique.
H∞ State-Feedback Control for Semi-Markov Jump Linear Systems With Time-Varying Delays
Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received February 2, 2012; final manuscript received March 1, 2013; published online May 21, 2013. Assoc. Editor: Eugenio Schuster.
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Huang, J., and Shi, Y. (May 21, 2013). "H∞ State-Feedback Control for Semi-Markov Jump Linear Systems With Time-Varying Delays." ASME. J. Dyn. Sys., Meas., Control. July 2013; 135(4): 041012. https://doi.org/10.1115/1.4024009
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