Robust event-triggered reliable control for T-S fuzzy uncertain systems via weighted based inequality

This paper is concerned with the design of event-triggered reliable control scheme for a class of uncertain Takagi-Sugeno (T-S) fuzzy nonlinear systems involving network transmission delays. Moreover, the designed fuzzy controller is reliable in the sense that the stability and the satisfactory performance of the closed-loop system are achieved not only under normal operation but in the presence of some actuator faults as well. For this notion, a reliable event-trigger scheme is designed for the nonlinear system in transmitting the sampled state information to the controller. By employing Lyapunov-Kraskovskii functional (LKF) and by using the weighted integral inequality, the exponential stability conditions are derived in the form of linear matrix inequalities (LMIs). By solving the proposed LMI conditions the triggering and control gain matrices are obtained via the computational toolbox. Finally, the effectiveness and the less conservativeness of the proposed robust event-triggered controller have been illustrated via some real control systems such as mass-spring-damper physical system, flexible-joint robot arm and variable speed wind turbine system. (C) 2019 Elsevier Inc. All rights reserved.