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The problem of active fault-tolerant control for vehicle active suspension systems in finite-frequency domain is investigated. First, a linear model of vehicle active suspension systems is given. With an observer-based fault estimator, a new H∞ controller in generalised internal model control architecture is proposed. By using the Kalman-Yakubovich-Popov lemma, sufficient conditions ensuring simultaneous finite-frequency estimation and control performance are derived. In terms of the linear matric inequalities, fault compensation is also proposed. Finally, simulation results are given to illustrate the effectiveness of the proposed results.