A grid-connected wind-energy converter system including a matrix converter (MC) is proposed. Two dynamic models are addressed: MC dynamic model, and proposed wind turbine system overall model. The MC dynamic model is valid for both steady-state and transient analyses. In developing the system overall dynamic model, individual models of the aerodynamic conversion, drive train, MC, and induction generator are developed. The constraint constant V/f strategy is included in the final dynamic model. The model is intended to be useful for controller design purposes. The model dynamic behavior is investigated by simulating the response of the overall model to step changes in selected input variables. Moreover, a linearized model is developed at a typical operating point, and stability, controllability, and observability of the system are investigated. Two control design methods are adopted for the design of the closed-loop controller: a state-feedback controller and an output feedback controller. Finally, a maximum power point tracking method, referred to as mechanical speed-sensorless power signal feedback, is developed for the system.