{"title":"Determination of Q and R Matrices for Optimal Pitch Aircraft Control","authors":"N. Popovich, P. Yan","country":null,"institution":"","volume":50,"journal":"International Journal of Aerospace and Mechanical Engineering","pagesStart":445,"pagesEnd":452,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9945","abstract":"In this paper, the process of obtaining Q and R\r\nmatrices for optimal pitch aircraft control system has been described.\r\nSince the innovation of optimal control method, the determination of\r\nQ and R matrices for such system has not been fully specified. The\r\nvalue of Q and R for optimal pitch aircraft control application, have\r\nbeen simulated and calculated. The suitable results for Q and R have\r\nbeen observed through the performance index (PI). If the PI is small\r\n\u201cenough\", we would say the Q & R values are suitable for that\r\ncertain type of optimal control system. Moreover, for the same value\r\nof PI, we could have different Q and R sets. Due to the rule-free\r\ndetermination of Q and R matrices, a specific method is brought to\r\nfind out the rough value of Q and R referring to rather small value of\r\nPI.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 50, 2011"}