Robust Sliding Mode Control of Uncertain Time-Delay Systems Based on T-S Model

摘要

The sliding mode controller is designed for a class of nonlinear uncertain time-delay systems based on T-S fuzzy model. In the approximation T-S system, the time-delay term and uncertainty term are added into the consequent of the model. The hitting condition is tested to be satisfied by using the designed controller. Based on Lyapunov stability theorem, the stability of the system can be assured, and the stability problem can be further transferred into the solvability of a linear matrix inequality, which can be solved easily by utilizing the LMI toolbox of Matlab.