Abstract
This paper discusses the robust preview control problem for uncertain discrete-time systems, where future reference and disturbance signals over a finite horizon can be previewed. First, in order to utilize future information for the controller design, an augmented error system including future information on previewable signals is constructed by using two new auxiliary variables related to the original system state and input. Second, sufficient conditions for designing a robust state feedback preview controller are given in terms of solutions to a set of linear matrix inequalities (LMIs). A preview controller is designed, one which guarantees that for admissible uncertainties and disturbances, the output of the closed-loop system can asymptotically track the reference signal. Finally, numerical simulation examples illustrate the superiority of the desired preview controller for the uncertain system.
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Recommended by Associate Editor Soohee Han under the direction of Editor Young IL Lee. This work was supported by National Natural Science Foundation of China[61903130] and Hubei Provincial Natural Science Foundation of China [2019CFB227].
Li Li received her Ph.D. degree in General and Fundamental Dynamics from University of Science and Technology Bei**g in 2017. Her current research interests are in the area of preview control and robust control.
Fucheng Liao received his B.S. degree in Mathematics from Yanan University, Yanan, China, in 1982. an M.S. degree in Mathematics from Northeastern University, Shenyang, China, in 1984. and a Ph.D. degree in Control Theory and Control Engineering from University of Science and Technology Bei**g, Bei**g, China, in 2007. Currently, he is a professor in School of Mathematics and Physics, University of Science and Technology Bei**g, China. His current research interests are in the area of preview control and robust control.
Zhenqin Ren received her Ph.D. degree in Control Science and Engineering from University of Science and Technology Bei**g, Bei**g, China, in 2016. Her main research interests include the preview control theory of descriptor systems, nonlinear systems, control, and system identification.
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Li, L., Liao, F. & Ren, Z. Robust Tracking Control with Preview Action for Uncertain Discrete-time Systems. Int. J. Control Autom. Syst. 18, 719–729 (2020). https://doi.org/10.1007/s12555-018-0353-x
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DOI: https://doi.org/10.1007/s12555-018-0353-x