Title: Global Stability of a System with State-Dependent Riccati Equation Controller
Abstract: No AccessEngineering NoteGlobal Stability of a System with State-Dependent Riccati Equation ControllerChih-Chiang Chen, Yew-Wen Liang and Wei-Ming JhuChih-Chiang ChenInstitute of Electrical Control Engineering, National Chiao Tung University, Hsinchu 300, Taiwan, Republic of China*Ph.D. Candidate, Institute of Electrical Control Engineering.Search for more papers by this author, Yew-Wen LiangInstitute of Electrical Control Engineering, National Chiao Tung University, Hsinchu 300, Taiwan, Republic of China†Professor, Institute of Electrical Control Engineering.Search for more papers by this author and Wei-Ming JhuInstitute of Electrical Control Engineering, National Chiao Tung University, Hsinchu 300, Taiwan, Republic of China‡Master, Institute of Electrical Control Engineering.Search for more papers by this authorPublished Online:22 Jul 2015https://doi.org/10.2514/1.G000989SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Çimen T., “Survey of State-Dependent Riccati Equation in Nonlinear Optimal Feedback Control Synthesis,” Journal of Guidance, Control, and Dynamics, Vol. 35, No. 4, 2012, pp. 1025–1047. doi:https://doi.org/10.2514/1.55821 JGCDDT 0162-3192 LinkGoogle Scholar[2] Liang Y.-W. and Lin L.-G., “Analysis of SDC Matrices for Successfully Implementing the SDRE Scheme,” Automatica, Vol. 49, No. 10, 2013, pp. 3120–3124. doi:https://doi.org/10.1016/j.automatica.2013.07.026 ATCAA9 0005-1098 CrossrefGoogle Scholar[3] Cloutier J. R., D’Souza C. N. and Mracek C. P., “Nonlinear Regulation and Nonlinear H∞ Control via the State-Dependent Riccati Equation Technique: Part 1, Theory,” Proceedings of the First International Conference on Nonlinear Problems in Aviation and Aerospace, Embry-Riddle Aeronautical Univ. Press, Daytona Beach, FL, 1996, pp. 117–130. Google Scholar[4] Cloutier J. R., D’Souza C. N. and Mracek C. P., “Nonlinear Regulation and Nonlinear H∞ Control via the State-Dependent Riccati Equation Technique: Part 2, Examples,” Proceedings of the First International Conference on Nonlinear Problems in Aviation and Aerospace, Embry-Riddle Aeronautical Univ. Press, Daytona Beach, FL, 1996, pp. 131–141. Google Scholar[5] Hammett K. D., “Control of Nonlinear Systems via State Feedback State Dependent Riccati Equation Techniques,” Ph.D. Thesis, U.S. Air Force Inst. of Technology, Wright–Patterson AFB, OH, June 1997. Google Scholar[6] Langson W. and Alleyne A., “A Stability Result with Application to Nonlinear Regulation,” Journal of Dynamic Systems, Measurement, and Control, Vol. 124, No. 3, 2002, pp. 452–456. doi:https://doi.org/10.1115/1.1486011 JDSMAA 0022-0434 CrossrefGoogle Scholar[7] Erdem E. and Alleyne A., “Design of a Class of Nonlinear Controllers via State Dependent Riccati Equations,” IEEE Transactions on Control Systems Technology, Vol. 12, No. 1, 2004, pp. 133–137. doi:https://doi.org/10.1109/TCST.2003.819588 IETTE2 1063-6536 CrossrefGoogle Scholar[8] Bogdanov A. and Wan E., “State-Dependent Riccati Equation Control for Small Autonomous Helicopters,” Journal of Guidance, Control, and Dynamics, Vol. 30, No. 1, 2007, pp. 47–60. doi:https://doi.org/10.2514/1.21910 JGCDDT 0162-3192 LinkGoogle Scholar[9] Bracci A., Innocenti M. and Pollini L., “Estimation of the Region of Attraction for State-Dependent Riccati Equation Controllers,” Journal of Guidance, Control, and Dynamics, Vol. 29, No. 6, 2006, pp. 1427–1430. doi:https://doi.org/10.2514/1.22122 JGCDDT 0162-3192 LinkGoogle Scholar[10] Hammett K. D., Hall C. D. and Ridgely D. B., “Controllability Issues in Nonlinear State-Dependent Riccati Equation Control,” Journal of Guidance, Control, and Dynamics, Vol. 21, No. 5, 1998, pp. 767–773. doi:https://doi.org/10.2514/2.4304 JGCDDT 0162-3192 LinkGoogle Scholar[11] Shamma J. S. and Cloutier J. R., “Existence of SDRE Stabilizing Feedback,” IEEE Transactions on Automatic Control, Vol. 48, No. 3, 2003, pp. 513–517. doi:https://doi.org/10.1109/TAC.2002.808473 IETAA9 0018-9286 CrossrefGoogle Scholar[12] Slotine J.-J. E. and Li W., Applied Nonlinear Control, Prentice–Hall, Upper Saddle River, NJ, 1991, pp. 74–75. Google Scholar[13] Chobotov V. A., Spacecraft Attitude Dynamics and Control, Krieger, Melbourne, FL, 1991, pp. 91–103. Google Scholar[14] Liang Y.-W., Xu S.-D. and Tsai C.-L., “Study of VSC Reliable Designs with Application to Spacecraft Attitude Stabilization,” IEEE Transactions on Control Systems Technology, Vol. 15, No. 2, 2007, pp. 332–338. doi:https://doi.org/10.1109/TCST.2006.883186 IETTE2 1063-6536 CrossrefGoogle Scholar Previous article
Publication Year: 2015
Publication Date: 2015-07-22
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 10
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