Abstract
The paper studies the effect of networks with transmission delay in the feedback loop of a nonlinear networked control system (NCS). The nonlinear system is modeled by a T-S fuzzy model, and transmission delays are modeled by a finite state Markov process. The fuzzy controller’s membership functions can be different from the plant’s. The membership functions of the plant and the fuzzy controller are incorporated into the controller design. System performance is measured via an norm from disturbance to error and the controller is computed by sum of square approach. Finally we applied these results to an inverted pendulum system. Theoretical analysis and simulation results show that the control strategy studied in this paper is effective and feasible.
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