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Discretization of continuous-time T-S fuzzy system: Delta operator approach. (Chinese. English summary) Zbl 1150.93481

Summary: The Delta operator approach is used to discretize a class of continuous-time T-S fuzzy systems. The linear time-invariable dynamic equation in the post-part of fuzzy rule is discretized locally, and then the fuzzy dynamic model of the system is discretized globally. To acquire the polyhedral structure of T-S fuzzy systems, the global discretization model is expanded using Taylor series to obtain an approximate global discretization model. Based on Linear Matrix Inequality (LMI), a state-feedback controller is designed corresponding to approximate global discretization model so as to stabilize asymptotically the closed-loop system. Using the Delta operator to discretize the continuous systems, the discretization model tends to approach to the original continuous model with the increasing sampling frequency, while the original dynamical property is kept up. The simulation result verifies theoretically the validity of the approach proposed.

MSC:

93C42 Fuzzy control/observation systems
93C55 Discrete-time control/observation systems