<p>This article studies the integrated control of inlet and engine under supersonic conditions based on the inlet wave system construction model. An inlet wave system construction (IWSC) modeling approach for a mixed-compression two-dimensional inlet is proposed. The modeling method improved the calculation accuracy by two aspects. One is the construction of an in-tube shock wave system (external/ internal shock wave system) under design/off-design states, addressing the limitation of traditional inlet models that only consider external shock structures; the other is to consider the modification of the shock wave system structure under the influence of boundary layer. Based on these above, considering the incoming flow conditions and backpressure effects, a comprehensive inlet model with the normal shock position as the iterative variable was developed. The IWSC model can accurately predict the main structure of the in-tube wave system under the design/off-design state, with a maximum error in the terminal normal shock position of 8.5% and the calculation cycle within 18&#xa0;ms, meeting the real-time requirements of the control system. Based on the proposed IWSC model, the research on inlet/engine integrated control is conducted. Under the influence of upstream environmental disturbances, integrated control system reduces the fluctuation amplitude of the normal shock wave by 57.7% and the fluctuation amplitude of engine thrust by 77.27%. Under the influence of downstream engine state, integrated control system ensures that the normal shock wave position consistently remains at the optimal operating position.</p>