Stabilization of Flexible Spacecraft with Probabilistic Faults via Reliable Memory Sampled-data Control

Abstract

This paper investigates the problem of stability analysis for a flexible spacecraft model via the reliable memory sampled-data control technique. Unlike the previous studies, the actuator fault under the stochastic environment and signal transmission delay are considered to tackle the stabilization problem of flexible spacecraft model. In this regard, the random variable is introduced to characterize the probabilistic actuator fault, which satisfies the Bernoulli distribution. The delay-dependent looped Lyapunov-Krasovskii functional (LKF) is constructed with full information about the whole sampling interval to derive the stability and stabilization analysis of the proposed results. Thus, the designed memory sampled-data control for the given spacecraft model guarantees the asymptotic stability performance in the formation of linear matrix inequalities (LMIs). The numerical section illustrates the effectiveness of the proposed theoretical results.