{"title":"Optimal Linear Quadratic Digital Tracker for the Discrete-Time Proper System with an Unknown Disturbance","authors":"Jason Sheng-Hong Tsai, Faezeh Ebrahimzadeh, Min-Ching Chung, Shu-Mei Guo, Leang-San Shieh, Tzong-Jiy Tsai, Li Wang","volume":113,"journal":"International Journal of Computer and Information Engineering","pagesStart":929,"pagesEnd":936,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10004637","abstract":"
In this paper, we first construct a new state and disturbance estimator using discrete-time proportional plus integral observer to estimate the system state and the unknown external disturbance for the discrete-time system with an input-to-output direct-feedthrough term. Then, the generalized optimal linear quadratic digital tracker design is applied to construct a proportional plus integral observer-based tracker for the system with an unknown external disturbance to have a desired tracking performance. Finally, a numerical simulation is given to demonstrate the effectiveness of the new application of our proposed approach.<\/p>\r\n","references":"[1]\tB. D. O. Anderson and J. B. Moore, Optimal Control: Linear Quadratic Methods. NJ: Prentice-Hall, 1989.\r\n[2]\tJ. L. Chang, \u201cApplying discrete-time proportional integral observers for state and disturbance estimations,\u201d IEEE Transactions on Automatic Control, vol. 51, no. 5, pp. 814-818, May 2006.\r\n[3]\tZ. Gao, T. Breikin, and H. Wang, \u201cDiscrete-time proportional-integral observer and observer-based controller for systems with unknown disturbances,\u201d European Control Conference, 2007.\r\n[4]\tF. Ebrahimzadeh, J. S. H. Tsai, M. C. Chung, Y. T. Liao, S. M. Guo, Shieh, L. S, and L. Wang, \u201cA novel generalized optimal linear quadratic tracker with universal applications - Part 2: Discrete-time systems,\u201d International Journal of Systems Science, accepted for publication.\r\n[5]\tF. Ebrahimzadeh, J. S. H. Tsai, Y. T. Liao, M. C. Chung, S. M. Guo, L. S. Shieh, and L. Wang, \u201cA novel generalized optimal linear quadratic tracker with universal applications - Part 1: Continuous-time systems,\u201d International Journal of Systems Science, accepted for publication.\r\n[6]\tF. L. Lewis and V. L. Syrmos, Optimal Control. NJ: John Wiley and Sons, Inc., 1995.\r\n[7]\tK. Ogata, Discrete-time Control Systems. NJ: Prentice-Hall, Englewood Cliffs, 1987.\r\n[8]\tS. Skogestad and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design. NY: John Wiley and Sons, Inc., 2005.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 113, 2016"}