This chapter presents an uncertainty-based sliding mode control (SMC) framework designed for spacecraft attitude tracking subject to incomplete information and interval parameter uncertainties. To address the challenge of data scarcity in aerospace missions, the methodology employs the set theory-based interval analysis strategy. The aforementioned interval dimension-wise analysis (IDWA) method is utilized for uncertainty bound estimation. The control architecture is established by transforming a nominal SMC into an interval-valued controller capable of managing trajectory boundaries. To rigorously evaluate spacecraft operational safety, an interval-based time-dependent reliability model is constructed, employing time-varying critical thresholds to adapt to dynamic mission phases. Furthermore, a multi-objective optimization scheme is implemented to tune the control parameters under these strict reliability constraints. Numerical validations confirm that this interval-based approach achieves tracking precision and safety assessment capabilities comparable to Monte Carlo simulations (MCSs), while offering significantly higher computational efficiency.