Optimal Linear Quadratic Digital Tracker for the Discrete-Time Proper System with an Unknown Disturbance
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.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1124718Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 703
 B. D. O. Anderson and J. B. Moore, Optimal Control: Linear Quadratic Methods. NJ: Prentice-Hall, 1989.
 J. L. Chang, “Applying discrete-time proportional integral observers for state and disturbance estimations,” IEEE Transactions on Automatic Control, vol. 51, no. 5, pp. 814-818, May 2006.
 Z. Gao, T. Breikin, and H. Wang, “Discrete-time proportional-integral observer and observer-based controller for systems with unknown disturbances,” European Control Conference, 2007.
 F. Ebrahimzadeh, J. S. H. Tsai, M. C. Chung, Y. T. Liao, S. M. Guo, Shieh, L. S, and L. Wang, “A novel generalized optimal linear quadratic tracker with universal applications - Part 2: Discrete-time systems,” International Journal of Systems Science, accepted for publication.
 F. Ebrahimzadeh, J. S. H. Tsai, Y. T. Liao, M. C. Chung, S. M. Guo, L. S. Shieh, and L. Wang, “A novel generalized optimal linear quadratic tracker with universal applications - Part 1: Continuous-time systems,” International Journal of Systems Science, accepted for publication.
 F. L. Lewis and V. L. Syrmos, Optimal Control. NJ: John Wiley and Sons, Inc., 1995.
 K. Ogata, Discrete-time Control Systems. NJ: Prentice-Hall, Englewood Cliffs, 1987.
 S. Skogestad and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design. NY: John Wiley and Sons, Inc., 2005.