{"title":"采用改进的沃尔什函数积公式设计线性二次高斯控制","authors":"Li Jin, A. Watanabe, S. Kawata","doi":"10.1109/SICE.1995.526712","DOIUrl":null,"url":null,"abstract":"By using the Walsh functions an approximate solution is obtained for the linear-quadratic-Gaussian control design problem. An improved formula of Walsh functions is derived for giving a simple expression of products of two or more arbitrary matrix time functions. It is shown that the Riccati matrix equation can directly be solved with the improved formula. Calculation results are presented to illustrate the validity and applicability of this method.","PeriodicalId":344374,"journal":{"name":"SICE '95. Proceedings of the 34th SICE Annual Conference. International Session Papers","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"The linear-quadratic-Gaussian control design using an improved product formula of Walsh functions\",\"authors\":\"Li Jin, A. Watanabe, S. Kawata\",\"doi\":\"10.1109/SICE.1995.526712\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By using the Walsh functions an approximate solution is obtained for the linear-quadratic-Gaussian control design problem. An improved formula of Walsh functions is derived for giving a simple expression of products of two or more arbitrary matrix time functions. It is shown that the Riccati matrix equation can directly be solved with the improved formula. Calculation results are presented to illustrate the validity and applicability of this method.\",\"PeriodicalId\":344374,\"journal\":{\"name\":\"SICE '95. Proceedings of the 34th SICE Annual Conference. International Session Papers\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SICE '95. Proceedings of the 34th SICE Annual Conference. International Session Papers\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SICE.1995.526712\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SICE '95. Proceedings of the 34th SICE Annual Conference. International Session Papers","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.1995.526712","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The linear-quadratic-Gaussian control design using an improved product formula of Walsh functions
By using the Walsh functions an approximate solution is obtained for the linear-quadratic-Gaussian control design problem. An improved formula of Walsh functions is derived for giving a simple expression of products of two or more arbitrary matrix time functions. It is shown that the Riccati matrix equation can directly be solved with the improved formula. Calculation results are presented to illustrate the validity and applicability of this method.
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