{"title":"Kapitza摆在谐波激励下的吸引区估计及非谐波激励下的摆态分析","authors":"J. Téllez, J. Collado","doi":"10.1109/ICEEE.2013.6676007","DOIUrl":null,"url":null,"abstract":"In this work, we present a stability analysis of the inverted pendulum subjected to a vertical excitation in the suspension point. First we apply a harmonic excitation term and physically determine the attraction region when considering a damping term, this can be seen as the estimation of the degree of robustness of the pendulum subjected to an open loop vibrational control. Next that we apply physically two independent excitations to obtain a non harmonic excitation, which is almost always a quasi periodic function. Physically the second excitation function will be add to the pendulum using a vibrating table, due to this the stability region grows, and presents the beating phenomena that not appears for harmonic excitation.","PeriodicalId":226547,"journal":{"name":"2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimate of the region of attraction of a Kapitza pendulum subject to an harmonic excitation and analysis of the pendulum behavior for a non harmonic excitation\",\"authors\":\"J. Téllez, J. Collado\",\"doi\":\"10.1109/ICEEE.2013.6676007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we present a stability analysis of the inverted pendulum subjected to a vertical excitation in the suspension point. First we apply a harmonic excitation term and physically determine the attraction region when considering a damping term, this can be seen as the estimation of the degree of robustness of the pendulum subjected to an open loop vibrational control. Next that we apply physically two independent excitations to obtain a non harmonic excitation, which is almost always a quasi periodic function. Physically the second excitation function will be add to the pendulum using a vibrating table, due to this the stability region grows, and presents the beating phenomena that not appears for harmonic excitation.\",\"PeriodicalId\":226547,\"journal\":{\"name\":\"2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEEE.2013.6676007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEEE.2013.6676007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Estimate of the region of attraction of a Kapitza pendulum subject to an harmonic excitation and analysis of the pendulum behavior for a non harmonic excitation
In this work, we present a stability analysis of the inverted pendulum subjected to a vertical excitation in the suspension point. First we apply a harmonic excitation term and physically determine the attraction region when considering a damping term, this can be seen as the estimation of the degree of robustness of the pendulum subjected to an open loop vibrational control. Next that we apply physically two independent excitations to obtain a non harmonic excitation, which is almost always a quasi periodic function. Physically the second excitation function will be add to the pendulum using a vibrating table, due to this the stability region grows, and presents the beating phenomena that not appears for harmonic excitation.