Stability Analysis and Observer-Based Controller Design for Uncertain T-S Fuzzy Systems with Disturbance and Time-Delay

This paper is mainly to solve the stability analysis and observation controller-based design of uncertain T-S fuzzy systems with disturbances and time delays. The innovation of this paper is that the system with observer has no uncertainty and disturbance factors, so the system will have better robustness. And the time derivative derived from the systematic trajectory of the constructed augmented Lyapunov Krasovski functional (LKF) contains integral terms, it can be handled by combining the lemma with Jensen's integral inequality and Wirtinger's integral inequality. By using different integral inequality methods, the stability results of the studied system are obtained and its conservatism is reduced. Finally, numerical simulation examples are used to verify the results of the proposed method are more effective and feasible than those of existing literatures.