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This paper addresses synthesis approaches to output feedback model predictive control (OFMPC) for systems with Hammerstein-Wiener nonlinearity and bounded disturbance/noise. The Hammerstein nonlinearity is removed (or partially removed) by constructing its inverse (or pseudo-inverse). The remaining nonlinearities in the model are incorporated by polytopic descriptions. At each sampling time, OFMPC finds a feedback gain and an estimator, such that the state of the closed-loop system asymptotically converges to a neighbourhood of the origin. A numerical example is given to illustrate the effectiveness of the controller.