In this thesis a new linear parameter-varying sliding mode control (LPVSMC) approach is developed for linear parameter-varying time-delayed systems (LPVTDS). This approach combines sliding mode control (SMC), linear parameter-varying (LPV) control theory, and time delay stability analysis to solve an LPVTDS control problem. A new linear parameter-varying sliding surface is proposed to achieve the control objectives. The time-varying parameters of the sliding surface are calculated according to a parameter-dependent Lyapunov-Krasovskii functional analysis which ensures asymptotic stability of the closed-loop system. It is anticipated that this method will lead to significant improvement over existing SMC approaches in aerospace applications with parameter variations.