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| Research on fractional-order control method of frame based on LMI |
| Received:August 04, 2021 Revised:March 11, 2022 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210804002 |
| KeyWord:frame fractional-order LMI additional parameters adjustment |
| Author | Institution |
| 杨柳 |
中国地震局工程力学研究所, 哈尔滨 |
| 周星德 |
河海大学 土木与交通学院, 南京 |
| 石贤增 |
河海大学 土木与交通学院, 南京 |
| 金波 |
中国地震局工程力学研究所, 哈尔滨 |
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| Abstract: |
| In this paper, a frame is taken as the research object.The fractional order state equation(FOSE) is used to design the controller, and a LMI-based controller design method is proposed.The concrete ideas are as follows:first, the original system vibration equation is changed to the FOSE of order between 1~2 meanwhile, the fractional order controller state equation of the same order is constructed, and then is assembled into a whole state equation.Secondly, the inequality is acquired according to the stability condition of the fractional order system.In order to obtain a feasible solution, two parameters are added to the LMI, and the parameter matrix of the controller remains symmetric.Thirdly, from the simulation results, the control effects are better but the control force is larger, so an adjustment factor is suggested to reduce the control force under the condition of control demand.Finally, an example is given to illustrate the feasibility of the proposed method. |
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