Sliding mode control based on robust parametric approach for spacecraft rendezvous

A sliding mode control scheme incorporated with robust parametric approach is proposed for a class of second-order mechanical system subject to parameter uncertainties and unmodeled dynamics. The robust parametric approach is introduced to the design of sliding mode dynamics. Further, with considering parameter uncertainties and unmodeled dynamics, the finite time convergence in reaching phase is guaranteed by the Lyapunov stability theory. What's more, the proposed approach is applied to spacecraft rendezvous with angular velocity uncertainty and gravitational high-order term. Finally, numerical simulations are conducted on the nonlinear Clohessy-Wiltshire equations to validate the previous analysis and results have shown the performance of proposed sliding mode control scheme.