Abstract
For a class of double-loop networked control system with differential sampling periods is studied in this paper. Its mathematical model is set up based on time-delay theory, and its stability conditions are obtained based on Lyapunov-Krasovskii functional and free-weighting matrices approach. On this basis, the design method of the controller to stabilize this networked control system with state feedback is explained. Finally, an example of the inverted pendulum is presented to test the validity and effectiveness of the methods proposed in this paper.
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