Multi-objective and reliable control for trajectory-tracking of rendezvous via parameter-dependent Lyapunov functions

► Mixed H∞/H2 control for trajectory-tracking of rendezvous is investigated. ► Actuator faults and exogenous disturbances are taken into account. ► Parameter-dependent Lyapunov functions are adopted to reduce conservatism. ► Slack matrices are introduced to further reduce conservatism. ► A hybrid genetic algorithm is presented to obtain the desired controller.