H2/H∞ control of networked control system with random time delays
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- Qiu, L., Xu, B. & Li, S. Sci. China Inf. Sci. (2011) 54: 2615. doi:10.1007/s11432-011-4463-9
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This paper investigates the H2/H∞ control problem for a class of discrete-time networked control systems with random communication time delays. Both sensor-to-controller (S-C) and controller-to-actuator (C-A) random network-induced delays are considered. Two independent Markov chains are used to model the S-C and C-A random delays. The resulting closed-loop system is a jump linear time-delay system induced by two Markov chains. Sufficient conditions for existence of H2/H∞ controller are established by free-weighting matrix and stochastic Lyapunov functions. A simulation example illustrates the effectiveness of the proposed method.