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Journal articles on the topic 'Linear time-periodic systems'

Author: Grafiati

Published: 13 April 2024

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1

Lopez, MarkJ S., and J. V. R. Prasad. "Linear Time Invariant Approximations of Linear Time Periodic Systems." Journal of the American Helicopter Society 62, no. 1 (January 1, 2017): 1–10. http://dx.doi.org/10.4050/jahs.62.012006.

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2

Chen, Wei. "Phase of linear time-periodic systems." Automatica 151 (May 2023): 110925. http://dx.doi.org/10.1016/j.automatica.2023.110925.

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3

Bolzern, P., P. Colaneri, and R. Scattolini. "Zeros of discrete-time linear periodic systems." IEEE Transactions on Automatic Control 31, no. 11 (November 1986): 1057–58. http://dx.doi.org/10.1109/tac.1986.1104172.

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4

de Souza, Carlos E., and Alexandre Trofino. "Stabilization of Linear Discrete-Time Periodic Systems *." IFAC Proceedings Volumes 31, no. 18 (July 1998): 485–90. http://dx.doi.org/10.1016/s1474-6670(17)42038-6.

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5

NICOLAO, G. DE, G. FERRARI-TRECATE, and S. PINZONI. "Zeros of Continuous-time Linear Periodic Systems." Automatica 34, no. 12 (December 1998): 1651–55. http://dx.doi.org/10.1016/s0005-1098(98)80023-x.

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6

Svobodny, T. P., and D. L. Russell. "Phase identification in linear time-periodic systems." IEEE Transactions on Automatic Control 34, no. 2 (1989): 218–20. http://dx.doi.org/10.1109/9.21104.

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7

Yin, Mingzhou, Andrea Iannelli, and Roy S. Smith. "Subspace Identification of Linear Time-Periodic Systems With Periodic Inputs." IEEE Control Systems Letters 5, no. 1 (January 2021): 145–50. http://dx.doi.org/10.1109/lcsys.2020.3000950.

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8

Zhang, P., S. X. Ding, G. Z. Wang, and D. H. Zhou. "Fault detection of linear discrete-time periodic systems." IEEE Transactions on Automatic Control 50, no. 2 (February 2005): 239–44. http://dx.doi.org/10.1109/tac.2004.841933.

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9

Sandberg, H., E. Mollerstedt, and Bernhardsson. "Frequency-domain analysis of linear time-periodic systems." IEEE Transactions on Automatic Control 50, no. 12 (December 2005): 1971–83. http://dx.doi.org/10.1109/tac.2005.860294.

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10

Calise, Anthony J., Mark E. Wasikowski, and Daniel P. Schrage. "Optimal output feedback for linear time-periodic systems." Journal of Guidance, Control, and Dynamics 15, no. 2 (March 1992): 416–23. http://dx.doi.org/10.2514/3.20852.

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11

Lee, Donghwan, and Jianghai Hu. "Periodic Stabilization of Discrete-Time Switched Linear Systems." IEEE Transactions on Automatic Control 62, no. 7 (July 2017): 3382–94. http://dx.doi.org/10.1109/tac.2017.2651173.

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12

Zhang, P., S. X. Ding, G. Z. Wang, and D. H. Zhou. "Fault detection for linear discrete-time periodic systems." IFAC Proceedings Volumes 36, no. 5 (June 2003): 239–44. http://dx.doi.org/10.1016/s1474-6670(17)36500-x.

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13

Colaneri, P., and S. Longhi. "Discrete-Time Linear Periodic Systems: The Realization Problem." IFAC Proceedings Volumes 26, no. 2 (July 1993): 321–26. http://dx.doi.org/10.1016/s1474-6670(17)48278-4.

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14

Coll, Carmen, Rafael Bru, and Vicente Heranández. "Generalized Bezoutian for Discrete-Time Linear Periodic Systems." IFAC Proceedings Volumes 25, no. 21 (September 1992): 36–39. http://dx.doi.org/10.1016/s1474-6670(17)49710-2.

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15

Montagnier, Pierre, Christopher C. Paige, and Raymond J. Spiteri. "Real Floquet factors of linear time-periodic systems." Systems & Control Letters 50, no. 4 (November 2003): 251–62. http://dx.doi.org/10.1016/s0167-6911(03)00158-0.

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16

Sánchez, Elena, Vicente Hernández, and Rafael Bru. "Minimal realizations for discrete-time linear periodic systems." Linear Algebra and its Applications 162-164 (February 1992): 685–708. http://dx.doi.org/10.1016/0024-3795(92)90402-v.

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17

Liu, Shiqian, Jihong Zhu, and JinChun Hu. "Satisfactory control of discrete-time linear periodic systems." Journal of Control Theory and Applications 5, no. 1 (February 2007): 12–16. http://dx.doi.org/10.1007/s11768-005-5077-9.

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18

Uyanık, İsmail, Uluç Saranlı, Ömer Morgϋl, and M. Mert Ankaralı. "Parametric Identification of Hybrid Linear-Time-Periodic Systems." IFAC-PapersOnLine 49, no. 9 (2016): 7–12. http://dx.doi.org/10.1016/j.ifacol.2016.07.479.

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19

Arambel, Pablo O., and Gilead Tadmor. "RobustH∞ identification of linear periodic discrete-time systems." International Journal of Robust and Nonlinear Control 4, no. 4 (1994): 595–612. http://dx.doi.org/10.1002/rnc.4590040411.

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20

Verhaegen, M. H. "Identification of Descriptor Systems and Periodic Linear, Time-Varying Systems." IFAC Proceedings Volumes 27, no. 8 (July 1994): 443–48. http://dx.doi.org/10.1016/s1474-6670(17)47748-2.

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21

de Souza, Carlos E., and Daniel F. Coutinho. "Stability of Linear Discrete-Time Periodic Systems with Time-Delay*." IFAC Proceedings Volumes 43, no. 11 (2010): 51–56. http://dx.doi.org/10.3182/20100826-3-tr-4016.00013.

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22

Mrabet, Yamina El, and Henri Bourlès. "Periodic-polynomial interpretation for structural properties of linear periodic discrete-time systems." Systems & Control Letters 33, no. 4 (April 1998): 241–51. http://dx.doi.org/10.1016/s0167-6911(97)00099-6.

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23

ZHOU, Jun. "Floquet Factorization Variants in Linear Continuous-Time Periodic Systems." SICE Journal of Control, Measurement, and System Integration 2, no. 6 (2009): 408–14. http://dx.doi.org/10.9746/jcmsi.2.408.

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24

Li, Li, and Yanrong Lu. "Preview repetitive control for linear discrete‐time periodic systems." International Journal of Adaptive Control and Signal Processing 36, no. 3 (December 13, 2021): 412–28. http://dx.doi.org/10.1002/acs.3346.

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25

de Souza, Carlos E., and Daniel F. Coutinho. "Robust Filtering for Linear Polytopic Discrete-Time Periodic Systems*." IFAC Proceedings Volumes 43, no. 11 (2010): 166–71. http://dx.doi.org/10.3182/20100826-3-tr-4016.00033.

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26

HERNÁNDEZ, VICENTE, and ANA URBANO. "Pole-assignment problem for discrete-time linear periodic systems." International Journal of Control 46, no. 2 (August 1987): 687–97. http://dx.doi.org/10.1080/00207178708933923.

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27

HERNÁNDEZ, VICENTE, and ANA M. URBANO. "Pole-placement problem for discrete-time linear periodic systems." International Journal of Control 50, no. 1 (July 1989): 361–71. http://dx.doi.org/10.1080/00207178908953366.

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28

Zhanhua Ma, C. W. Rowley, and G. Tadmor. "Snapshot-Based Balanced Truncation for Linear Time-Periodic Systems." IEEE Transactions on Automatic Control 55, no. 2 (February 2010): 469–73. http://dx.doi.org/10.1109/tac.2009.2036335.

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29

Bittanti, S., and P. Bolzern. "Reachability and controllability of discrete-time linear periodic systems." IEEE Transactions on Automatic Control 30, no. 4 (April 1985): 399–401. http://dx.doi.org/10.1109/tac.1985.1103961.

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30

Sandberg, H., and B. Bernhardsson. "A bode sensitivity integral for linear time-periodic systems." IEEE Transactions on Automatic Control 50, no. 12 (December 2005): 2034–39. http://dx.doi.org/10.1109/tac.2005.860247.

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31

Liao, Fucheng, Mengyuan Sun, and Usman. "Optimal Preview Control for Linear Discrete-Time Periodic Systems." Mathematical Problems in Engineering 2019 (February 11, 2019): 1–11. http://dx.doi.org/10.1155/2019/8434293.

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In this paper, the optimal preview tracking control problem for a class of linear discrete-time periodic systems is investigated and the method to design the optimal preview controller for such systems is given. Initially, by fully considering the characteristic that the coefficient matrices are periodic functions, the system can be converted into a time-invariant system through lifting method. Then, the original problem is also transformed into the scenario of time-invariant system. Later on, the augmented system is constructed and the preview controller of the original system is obtained with the help of existing preview control method. The controller comprises integrator, state feedback, and preview feedforward. Finally, the simulation example shows the effectiveness of the proposed preview controller in improving the tracking performance of the close-loop system.

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32

Cantó, R., C. Coll, and E. Sánchez. "A stability problem for discrete-time linear periodic systems." Applied Mathematics Letters 10, no. 3 (May 1997): 69–73. http://dx.doi.org/10.1016/s0893-9659(97)00037-2.

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33

Simard, Joel D., Christopher Nielsen, and Daniel E. Miller. "Periodic adaptive stabilization of rapidly time-varying linear systems." Mathematics of Control, Signals, and Systems 31, no. 2 (June 2019): 1–42. http://dx.doi.org/10.1007/s00498-019-0236-6.

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34

Grasselli, Osvaldo Maria, and Sauro Longhi. "The geometric approach for linear periodic discrete-time systems." Linear Algebra and its Applications 158 (November 1991): 27–60. http://dx.doi.org/10.1016/0024-3795(91)90049-3.

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35

Bru, Rafael, and Vicente Hernández. "Structural properties of discrete-time linear positive periodic systems." Linear Algebra and its Applications 121 (August 1989): 171–83. http://dx.doi.org/10.1016/0024-3795(89)90700-3.

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36

Kono, M., T. Suzuki, and T. Morishita. "Block decoupling of linear omega -periodic discrete-time systems." IEEE Transactions on Automatic Control 35, no. 11 (1990): 1262–65. http://dx.doi.org/10.1109/9.59816.

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37

De Nicolao, G., and G. Ferrari Trecate. "On the zeros of discrete-time linear periodic systems." Circuits, Systems and Signal Processing 16, no. 6 (November 1997): 703–18. http://dx.doi.org/10.1007/bf01371573.

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38

GRASSELLI, OSVALDO MARIA, and SAURO LONGHI. "Finite zero structure of linear periodic discrete-time systems." International Journal of Systems Science 22, no. 10 (October 1991): 1785–806. http://dx.doi.org/10.1080/00207729108910751.

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39

ER, M. J. "Periodic controllers for finite-dimensional linear time-invariant systems." International Journal of Systems Science 26, no. 10 (October 1995): 1813–22. http://dx.doi.org/10.1080/00207729508929138.

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40

Xie, Xiaochen, James Lam, and Panshuo Li. "Finite-time H∞ control of periodic piecewise linear systems." International Journal of Systems Science 48, no. 11 (April 20, 2017): 2333–44. http://dx.doi.org/10.1080/00207721.2017.1316884.

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41

YOSHII, K., and K. HAKOMORI. "Characteristic multiplier assignment in continuous-time linear periodic systems." International Journal of Control 50, no. 6 (December 1989): 2349–63. http://dx.doi.org/10.1080/00207178908953503.

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42

Zhou, Jun. "Average Floquet factorisations in linear continuous-time periodic systems." International Journal of Control 86, no. 10 (October 2013): 1757–65. http://dx.doi.org/10.1080/00207179.2013.796407.

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43

Benner, Peter, Jonas Denißen, and Ludwig Kohaupt. "Bounds on the Solution of Linear Time-Periodic Systems." PAMM 13, no. 1 (November 29, 2013): 447–48. http://dx.doi.org/10.1002/pamm.201310217.

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44

Jacob, Birgit, Jonathan R. Partington, and Banu Ünalmiş. "On Discrete-Time Linear Systems with Almost-Periodic Kernels." Journal of Mathematical Analysis and Applications 252, no. 2 (December 2000): 549–70. http://dx.doi.org/10.1006/jmaa.2000.6997.

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45

Colaneri, Patrizio. "Zero-error regulation of discrete-time linear periodic systems." Systems & Control Letters 15, no. 2 (August 1990): 161–67. http://dx.doi.org/10.1016/0167-6911(90)90010-r.

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46

Xu, Yashan. "Characterization by detectability inequality for periodic stabilization of linear time-periodic evolution systems." Systems & Control Letters 149 (March 2021): 104871. http://dx.doi.org/10.1016/j.sysconle.2021.104871.

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47

SU, Laiping, Osami SAITO, and Kenichi ABE. "LTI Model Realization of Linear Periodic Discrete-Time Systems by Using Periodic Compensation." Transactions of the Society of Instrument and Control Engineers 28, no. 2 (1992): 208–15. http://dx.doi.org/10.9746/sicetr1965.28.208.

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48

Lopez, Mark J. S., and J. V. R. Prasad. "Estimation of Modal Participation Factors of Linear Time Periodic Systems Using Linear Time Invariant Approximations." Journal of the American Helicopter Society 61, no. 4 (October 1, 2016): 1–4. http://dx.doi.org/10.4050/jahs.61.045001.

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49

Hidir, Elvan Kuzucu, Ismail Uyanik, and Ömer Morgül. "Harmonic transfer functions based controllers for linear time-periodic systems." Transactions of the Institute of Measurement and Control 41, no. 8 (June 20, 2018): 2171–84. http://dx.doi.org/10.1177/0142331218778748.

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Abstract:

The analysis, identification and control of periodic systems has gained increasing interest during the last few decades due to the increased use of dynamical systems that exhibit periodic motion. The vast majority of these studies focus on the analysis and control problem for a known state-space formulation of the linear time-periodic (LTP) system. On the other hand, there are also some studies that focus on data-driven identification of LTP systems with unknown state-space formulations. However, most of these methods provide numerical estimates for the harmonic transfer functions (HTFs) of an LTP system that are extremely difficult to work with during controller design. The goal of this paper is to provide a simple controller design methodology for unknown LTP systems by utilizing so-called HTFs estimates. To this end, we first build a mathematical basis of LTP controller design for known LTP systems using the Nyquist diagrams and analytically derived HTFs. We propose a new methodology to design P-, PD- and PID-type controllers for LTP systems using Nyquist diagrams and the eigenlocus of the HTFs. Having established the HTF-based controller design procedure, we extend our methodology to unknown LTP systems by presenting a new sum-of-cosine signal-based data-driven system identification method. We show that the proposed data-driven controller design method allows estimation of the HTFs and it provides simple tools for optimizing certain time-domain performance metrics. We provide numerical examples for both known and unknown LTP system cases to illustrate the performance of the proposed controller design methodology.

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50

JI, Xiao-Fu. "Robust Stabilization for Linear Time-varying Uncertain Periodic Descriptor Systems." Acta Automatica Sinica 34, no. 9 (March 17, 2009): 1219–20. http://dx.doi.org/10.3724/sp.j.1004.2008.01219.

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