Abstract
In this paper, new results are presented for ascertaining delay-dependent stability of network controlled multi-area load frequency control (LFC) systems with time-invariant delay using Lyapunov-Krasovskii (LK) functional approach. In a networked control system, the feedback information (for effecting closed-loop control) is processed through a communication channel; as a result, time-delay appears in the feedback path. This delay adversely affects the performance of the closed-loop system and paves way to system instability. Delay-dependent stability analysis is carried out to compute the maximum value of the time-delay within which the system under consideration remains asymptotically stable in the sense of Lyapunov. In the presented stability analysis, to ascertain delay-dependent stability of the LFC system in a less conservative manner, an augmented LK functional is formulated, and the time-derivative of the functional is bounded without neglecting any useful terms using Wirtinger inequality. The presented stability criterion is tested on standard benchmark one-area and two-area LFC systems, and the obtained delay margins are compared with an existing result in literature. Simulation results are also presented to corroborate the effectiveness of the theoretical results.
Published Version
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