Delay-dependent stability analysis of damping compensated generator-excitation control system

In this paper, the problem of delay-dependent stability of a damping compensated closed-loop generator-excitation control system is addressed using Lyapunov-Krasovskii func­tional method. In the closed-loop control system, the use of complex sensor/measurement circuits, signal conditioning systems and data transfer through communication links introduces time- delay in the feedback loop. The feedback-loop delays affects the overall performance and stability of the closed-loop system. In this paper, using Lyapunov-Krasovskii functional approach combined with Wirtinger inequality, a less conservative stability criterion (sufficient condition) is presented in linear matrix inequality (LMI) to compute analytically the maximum bound of the time-delay within which the closed-loop generator-excitation control system under consideration remains asymptotically stable in the sense of Lyapunov. In the sequel, using a standard bench mark example, the proposed analysis is validated through extensive simulation studies.