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Network-based control of discrete-time descriptor systems with random delays. (English) Zbl 1228.93076
Summary: This paper addresses the network-based control problem for a class of descriptor systems in the discrete-time domain with random delays. By modeling the sensor-to-controller and controller-to-actuator delays as Markovian chains, the closed-loop system can be expressed as a jump linear descriptor system with two modes. The stochastically admissible necessary and sufficient condition for the closed-loop system is constructed. An explicit expression for the desired controller is given without any system decomposition. The obtained results are formulated in terms of strict Linear Matrix Inequalities (LMIs). In addition, an example is given to illustrate the effectiveness of the proposed approach.

93C55Discrete-time control systems
60J10Markov chains (discrete-time Markov processes on discrete state spaces)
93E03General theory of stochastic systems
Full Text: DOI
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