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A hysteresis model considering dynamic effects is established based on the modified Bouc\u2013Wen (MBW) model, which can describe the asymmetry and frequency-dependence behaviors. The effectiveness of the modified model is verified by the experimental comparison. A feedforward controller is designed to compensate for hysteresis nonlinearity based on the inverse multiplicative structure of the modified model. A feedback controller with the Kalman observer is designed based on a modified model predictive control (MMPC). The proportional term and integral term of feedback error are introduced into the MPC control law to improve the response speed and reduce the steady-state error. The proposed MBW\u2009+\u2009MMPC is compared with MBW\u2009+\u2009proportional\u2013integral\u2013derivative (PID), and MBW\u2009+\u2009MPC. The experimental tracking results of continuously differentiable signals and non-differentiable signals verify MBW\u2009+\u2009MMPC feasibility and show that it can improve tracking performance. <\/jats:p>","DOI":"10.1177\/01423312221141900","type":"journal-article","created":{"date-parts":[[2023,1,18]],"date-time":"2023-01-18T06:15:52Z","timestamp":1674022552000},"page":"1910-1922","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["A new composite controller for trajectory tracking control of a piezo-driven bridge displacement amplifier"],"prefix":"10.1177","volume":"45","author":[{"given":"Zhicheng","family":"Song","sequence":"first","affiliation":[{"name":"College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics & Astronautics, China"}]},{"given":"Xiang","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mechanical & Electrical Engineering, Nanjing 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