{"title":"Determination of Q and R Matrices for Optimal Pitch Aircraft Control","authors":"N. Popovich, P. Yan","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":"[1] G. F. Franklin, D. J. Powell, and A. E. Naeini, Feedback Control of\r\nDynamic Systems. New Jersey, The United States of America: Pearson\r\nPrentice Hall, Pearson Education, Inc, 2006.\r\n[2] J. L. Meriam, and L. G. Kraige, Engineering Mechanics Dynamics. The\r\nUnited States of America: John Wiley & Soms, Inc, 2003.\r\n[3] D. S. Naidu, Optimal Control Systems. The United States of America:\r\nCRC Press LLC, 2003.\r\n[4] R. C. Nelson, Flight Stability and Automatic Control. The McGraw-Hill\r\nCompanies, Inc, 1998.\r\n[5] K. Ogata, Discrete Time Control Systems. New Jersey, The United\r\nStates of America: Prentice-Hall, 1995.\r\n[6] K. Ogata, Modern Control Engineering. New Jersey: Prentice-Hall, Inc,\r\n2002.\r\n[7] S. M. Shinners, Advanced Modern Control System Theory and Design.\r\nJohn Wiley & Sons, Inc, 1998.\r\n[8] N. Popovich, P. Yan, Optimal Digital Pitch Aircraft Control,\r\nInternationalConference, ICCESSE 2010, Singapore, December 18-20,\r\n2010.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 50, 2011"}