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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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 wit

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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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (2018): 2171–84. http://dx.doi.org/10.1177/0142331218778748.

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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

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50

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

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