{"title":"二阶动态系统P-D反馈特征结构最小控制力分配","authors":"G. Duan, Guo-sheng Wang","doi":"10.1109/CACSD.2004.1393900","DOIUrl":null,"url":null,"abstract":"The design of proportional plus derivative (P-D) feedback eigenstructure assignment with minimum control effort is considered in a class of second-order dynamic systems. By utilizing the result of parametric eigenstructure assignment via P-D feedback proposed in, the design problem is formulated as a constrained minimization problem and a corresponding algorithm for this minimization problem is then proposed. This minimization involves the closed-loop eigenvalues as well as a group of parameter vectors when the closed-loop eigenvalues are not prescribed. Due to the simplicity, explicity and completeness of eigenstructure assignment, the proposed algorithm is simple and efficient. A three lumped mass-spring dashpot system and the simulation results show the effect of this proposed algorithm","PeriodicalId":111199,"journal":{"name":"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"P-D feedback eigenstructure assignment with minimum control effort in second-order dynamic systems\",\"authors\":\"G. Duan, Guo-sheng Wang\",\"doi\":\"10.1109/CACSD.2004.1393900\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The design of proportional plus derivative (P-D) feedback eigenstructure assignment with minimum control effort is considered in a class of second-order dynamic systems. By utilizing the result of parametric eigenstructure assignment via P-D feedback proposed in, the design problem is formulated as a constrained minimization problem and a corresponding algorithm for this minimization problem is then proposed. This minimization involves the closed-loop eigenvalues as well as a group of parameter vectors when the closed-loop eigenvalues are not prescribed. Due to the simplicity, explicity and completeness of eigenstructure assignment, the proposed algorithm is simple and efficient. A three lumped mass-spring dashpot system and the simulation results show the effect of this proposed algorithm\",\"PeriodicalId\":111199,\"journal\":{\"name\":\"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)\",\"volume\":\"46 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CACSD.2004.1393900\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CACSD.2004.1393900","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
P-D feedback eigenstructure assignment with minimum control effort in second-order dynamic systems
The design of proportional plus derivative (P-D) feedback eigenstructure assignment with minimum control effort is considered in a class of second-order dynamic systems. By utilizing the result of parametric eigenstructure assignment via P-D feedback proposed in, the design problem is formulated as a constrained minimization problem and a corresponding algorithm for this minimization problem is then proposed. This minimization involves the closed-loop eigenvalues as well as a group of parameter vectors when the closed-loop eigenvalues are not prescribed. Due to the simplicity, explicity and completeness of eigenstructure assignment, the proposed algorithm is simple and efficient. A three lumped mass-spring dashpot system and the simulation results show the effect of this proposed algorithm