Delay Dependent Robust Stability of Reset Systems

The dynamic behavior of reset control systems can be upgraded by appropriate implementation of a reset mechanism. Lyapunov-Krasovskii theory plays an effective role in evaluating stability of reset control systems with delays. In this study, we provide a sufficient delay-dependent condition to help in the analysis of robust reset control systems. The condition is cast in terms of linear matrix inequalities that can effectively solved by standard solvers. We then extend the results to address robust stability of reset control systems uncertain time delay rest systems. Computer simulation confirms the performance and effectiveness of the proposed approach.