In this research, the problem of robust control of hybrid systems is investigated. The hybrid systems under study are characterized as systems whose inputs contain both analog variables and discrete actions; and whose behavior belongs to an uncertainty set which includes both metric modelling errors and discrete uncertainties.; A control structure is introduced which consists of robust controllers for analog control and supervisors for discrete events at lower levels, and managers to make switching decisions at higher levels. For a generic class of uncertain nonlinear hybrid systems, a design methodology for managers is developed based on system performance. Robust stability and performance of the closed-loop hybrid systems are established for systems subject to both analog modeling errors and structural uncertainties.; The hybrid design methods, as well as feedback linearization and nonlinear robust Hinfinity control, are applied to automotive powertrain systems. A feasible powertrain control strategy is developed. |