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Furthermore, in view of the tedious and time-consuming of the empirical method to choose state-weighted matrix<jats:italic>Q<\/jats:italic>, stepping quantum genetic algorithm (SQGA) is proposed to improve the performance of the controller. Finally, the time-frequency characteristic curves of the lateral vibration acceleration and the vibration displacement of the car system are compared and analyzed by MATLAB to verify the effectiveness of the proposed controller.<\/jats:p>","DOI":"10.1515\/auto-2021-0154","type":"journal-article","created":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T18:04:01Z","timestamp":1656698641000},"page":"623-634","source":"Crossref","is-referenced-by-count":9,"title":["Stepping quantum genetic algorithm-based LQR control strategy for lateral vibration of high-speed elevator"],"prefix":"10.1515","volume":"70","author":[{"given":"Li","family":"Li","sequence":"first","affiliation":[{"name":"Shandong Jianzhu University , Shandong Jinan , China"}]},{"given":"Tian","family":"Qiu","sequence":"additional","affiliation":[{"name":"Shandong Jianzhu University , Shandong Jinan , China"}]},{"given":"Tichang","family":"Jia","sequence":"additional","affiliation":[{"name":"Shandong Jianzhu University , Shandong Jinan , China"}]},{"given":"Chen","family":"Chen","sequence":"additional","affiliation":[{"name":"Shandong Jianzhu University , Shandong Jinan , China"}]}],"member":"374","published-online":{"date-parts":[[2022,7,2]]},"reference":[{"key":"2022070118040320232_j_auto-2021-0154_ref_001","doi-asserted-by":"crossref","unstructured":"Peng, Q.F., P. 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