Resilient Reliable Hθ Load Frequency Control of Power System With Random Gain Fluctuations

This article proposes a resilient reliable <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> load frequency control (LFC) design for power system involving the external load disturbances, stochastic actuator failures, and randomly occurring gain fluctuations. In this regard, the separate random variables are introduced which characterize the actuator failures and gain fluctuations in an individual manner that satisfies the Bernoulli distribution. The resilient reliable proportional–integral (PI)-type LFC is proposed by utilizing the resilient control scheme and the reciprocal convex technique along with the Lyapunov–Krasovskii functional (LKF), which guarantees the mean-square asymptotic stability of power system via <inline-formula> <tex-math notation="LaTeX">$H_{\infty } $ </tex-math></inline-formula> performance index. Finally, the simulations are given to ensure the less conservative results of the proposed method when compared to the existing results.