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Journal articles on the topic 'Control of distributed parameter systems'

Author: Grafiati

Published: 4 June 2021

Last updated: 19 February 2022

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1

Capitani, G., M. Tibaldi, G. Bertoni, and A. Yousuff. "Integrated Control of Distributed Parameter Systems." IFAC Proceedings Volumes 20, no. 1 (June 1987): 269–74. http://dx.doi.org/10.1016/s1474-6670(17)59310-6.

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2

Hulkó, G., C. Belavý, J. Belanský, M. Lavrinc, and I. Hurák. "Boundary Control of Distributed Parameter Systems." IFAC Proceedings Volumes 33, no. 13 (June 2000): 521–24. http://dx.doi.org/10.1016/s1474-6670(17)37243-9.

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3

Hulkó, G., and C. Belavý. "PID Control of Distributed Parameter Systems." IFAC Proceedings Volumes 36, no. 18 (September 2003): 101–6. http://dx.doi.org/10.1016/s1474-6670(17)34652-9.

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4

Song, Yuhua, Xiuyu He, Zhijie Liu, Wei He, Changyin Sun, and Fei-Yue Wang. "Parallel Control of Distributed Parameter Systems." IEEE Transactions on Cybernetics 48, no. 12 (December 2018): 3291–301. http://dx.doi.org/10.1109/tcyb.2018.2849569.

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5

Pohjolainen, Seppo. "Mobile control of distributed parameter systems." Automatica 25, no. 4 (July 1989): 640–42. http://dx.doi.org/10.1016/0005-1098(89)90111-8.

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6

Mansimov, K. B. "Singular controls in control problems for distributed-parameter systems." Journal of Mathematical Sciences 148, no. 3 (January 2008): 331–81. http://dx.doi.org/10.1007/s10958-008-0009-0.

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7

Xing, Hai Long, and Wen Shan Cui. "Feedback Control of Parabolic Distributed Parameter Systems." Applied Mechanics and Materials 455 (November 2013): 337–43. http://dx.doi.org/10.4028/www.scientific.net/amm.455.337.

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In this paper, the feedback control problem is considered for a class of parabolic distributed parameter systems (DPS). By employing a new Lyapunov-Krasovskii functional as well as the linear matrix inequality (LMI), a novel feedback controller is developed, which can guarantee the closed-loop system states uniformly convergent to zero. The stability conditions for closed-loop systems can be easily checked by utilizing the numerically efficient Matlab LMI toolbox. At last, a numerical example shows the effectiveness of the presented LMI-based methods.

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8

Szuda, J., M. Antoniová, B. Rohal’-Il’kiv, and G. Hulkó. "Adaptive Predictive Control of Distributed Parameter Systems." IFAC Proceedings Volumes 30, no. 21 (September 1997): 487–93. http://dx.doi.org/10.1016/s1474-6670(17)41486-8.

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9

Henrı́quez, Hernán R. "Stabilization of hereditary distributed parameter control systems." Systems & Control Letters 44, no. 1 (September 2001): 35–43. http://dx.doi.org/10.1016/s0167-6911(01)00104-9.

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10

Hulkó, G., M. Antoniová, J. Belanský, C. Belavý, and J. Szuda. "Design of distributed parameter systems of control." IFAC Proceedings Volumes 27, no. 11 (September 1994): 423–28. http://dx.doi.org/10.1016/s1474-6670(17)47686-5.

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11

Kouvaritakis, B., M. Cannon, B. Rohal'-Ilkiv, and C. Belavý. "Predictive Control of Linear Distributed Parameter Systems." IFAC Proceedings Volumes 33, no. 13 (June 2000): 225–32. http://dx.doi.org/10.1016/s1474-6670(17)37194-x.

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12

Helmicki, A. J., C. A. Jacobson, and C. N. Nett. "Control-Oriented Modeling of Distributed Parameter Systems." Journal of Dynamic Systems, Measurement, and Control 114, no. 3 (September 1, 1992): 339–46. http://dx.doi.org/10.1115/1.2897353.

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In this paper the use of linear, time-invariant, distributed parameter systems (LTI-DPS) as models of physical processes is considered from a control viewpoint. Specifically, recent theoretical results obtained by the authors for the control-oriented modeling of LTI-DPS are concisely reviewed and then a series of applications is given in order to illustrate the practical ramifications of these results.

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13

Gómez, Juan C., Daniel E. Viassolo, and Sergio Junco. "Adaptive Control Of Nonlinear Distributed Parameter Systems." International Journal of Modelling and Simulation 19, no. 2 (January 1999): 194–204. http://dx.doi.org/10.1080/02286203.1999.11759971.

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14

Yurkevich, V. D. "Control of distributed parameter systems: localisation method." IEE Proceedings D Control Theory and Applications 139, no. 2 (1992): 141. http://dx.doi.org/10.1049/ip-d.1992.0020.

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15

Shang, Huilan, J. Fraser Forbes, and Martin Guay. "Feedback control of hyperbolic distributed parameter systems." Chemical Engineering Science 60, no. 4 (February 2005): 969–80. http://dx.doi.org/10.1016/j.ces.2004.09.067.

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16

Lun, Shuxian, and Zhixin Tai. "Dissipativity for Lur’e distributed parameter control systems." Applied Mathematics Letters 25, no. 4 (April 2012): 682–86. http://dx.doi.org/10.1016/j.aml.2011.09.003.

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17

Li, Kam-Chi, Tin-Pui Leung, and Yue-Ming Hu. "Sliding mode control of distributed parameter systems." Automatica 30, no. 12 (December 1994): 1961–66. http://dx.doi.org/10.1016/0005-1098(94)90057-4.

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18

Plotnikov, A. V. "Control of distributed-parameter systems under uncertainty." Cybernetics and Systems Analysis 27, no. 6 (November 1991): 940–43. http://dx.doi.org/10.1007/bf01246529.

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19

Hulkó, G., C. Belavý, J. Belanský, A. Heugerová, and M. Lavrinc. "Control of Distributed Parameter Systems as Lumped Input and Distributed Output Systems." IFAC Proceedings Volumes 31, no. 18 (July 1998): 781–86. http://dx.doi.org/10.1016/s1474-6670(17)42086-6.

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20

Kharitonov, A., and O. Sawodny. "Flatness-based feedforward control for parabolic distributed parameter systems with distributed control." International Journal of Control 79, no. 7 (July 2006): 677–87. http://dx.doi.org/10.1080/00207170600622858.

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21

Hubbard, James E. "Vibration control of distributed parameter systems using spatially distributed transducers." Journal of the Acoustical Society of America 88, S1 (November 1990): S99. http://dx.doi.org/10.1121/1.2029244.

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22

Kravaris, Costas, and John H. Seinfeld. "Identification of Parameters in Distributed Parameter Systems by Regularization." SIAM Journal on Control and Optimization 23, no. 2 (March 1985): 217–41. http://dx.doi.org/10.1137/0323017.

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23

Wen, J. "Robust Model Reference Control for Distributed Parameter Systems." IFAC Proceedings Volumes 20, no. 1 (June 1987): 241–45. http://dx.doi.org/10.1016/s1474-6670(17)59306-4.

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24

Christofides, Panagiotis D. "Special volume on ‘control of distributed parameter systems’." Computers & Chemical Engineering 26, no. 7-8 (August 2002): 939–40. http://dx.doi.org/10.1016/s0098-1354(02)00019-4.

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25

Hulkó, G., C. Belavý, I. Hurák, and M. Lavrinc. "Control of Smart Structures as Distributed Parameter Systems." IFAC Proceedings Volumes 33, no. 13 (June 2000): 501–6. http://dx.doi.org/10.1016/s1474-6670(17)37240-3.

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26

Rohal-Ilkiv, B., R. Richter, I. Sroka, Z. Országhová, and P. Zelinka. "Spline-Based Adaptive Control of Distributed Parameter Systems." IFAC Proceedings Volumes 24, no. 8 (September 1991): 427–32. http://dx.doi.org/10.1016/s1474-6670(17)54208-1.

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27

Do, K. D. "Inverse optimal control of linear distributed parameter systems." Applied Mathematical Sciences 8 (2014): 293–313. http://dx.doi.org/10.12988/ams.2014.310563.

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28

Kouvaritakis *, B., M. Cannon, B. Rohal-Ilkiv, A. Karas, and C. Belavý. "Constrained predictive control of linear distributed parameter systems." International Journal of Control 77, no. 10 (July 10, 2004): 941–48. http://dx.doi.org/10.1080/00207170412331270541.

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29

Koivo, H. N., and J. Kniivilä. "Self-tuning Control of Parabolic Distributed Parameter Systems." IFAC Proceedings Volumes 20, no. 2 (July 1987): 115–18. http://dx.doi.org/10.1016/s1474-6670(17)55946-7.

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30

Helmicki, A. J., C. A. Jacobson, and C. N. Nett. "Ill-posed distributed parameter systems: a control viewpoint." IEEE Transactions on Automatic Control 36, no. 9 (1991): 1053–57. http://dx.doi.org/10.1109/9.83536.

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31

Böhm, Michael, M. A. Demetriou, Simeon Reich, and I. G. Rosen. "Model Reference Adaptive Control of Distributed Parameter Systems." SIAM Journal on Control and Optimization 36, no. 1 (January 1998): 33–81. http://dx.doi.org/10.1137/s0363012995279717.

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32

Nihtilä, Markku, Jouko Tervo, and Petri Kokkonen. "CONTROL DESIGN FOR DISTRIBUTED-PARAMETER SYSTEMS VIA PARAMETRIZATION." IFAC Proceedings Volumes 38, no. 1 (2005): 486–91. http://dx.doi.org/10.3182/20050703-6-cz-1902.00481.

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33

Bao, Leping, Shumin Fei, and Lin Chai. "Control synthesis of linear distributed parameter switched systems." Journal of Systems Engineering and Electronics 26, no. 3 (June 2015): 565–72. http://dx.doi.org/10.1109/jsee.2015.00064.

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34

Kugi, Andreas, and Kurt Schlacher. "Modelling of distributed-parameter systems for control purposes." Mathematical and Computer Modelling of Dynamical Systems 14, no. 3 (June 2008): 177–78. http://dx.doi.org/10.1080/13873950701844816.

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35

Schlacher, Kurt, and Markus Schöberl. "Modelling, analysis and control of distributed parameter systems." Mathematical and Computer Modelling of Dynamical Systems 17, no. 1 (January 24, 2011): 1–2. http://dx.doi.org/10.1080/13873954.2010.537507.

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36

Wu, F. "Distributed control for interconnected linear parameter-dependent systems." IEE Proceedings - Control Theory and Applications 150, no. 5 (September 1, 2003): 518–27. http://dx.doi.org/10.1049/ip-cta:20030706.

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37

Aniţa, Sebastian. "Optimal control of parameter distributed systems with impulses." Applied Mathematics & Optimization 29, no. 1 (January 1994): 93–107. http://dx.doi.org/10.1007/bf01191108.

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38

Patwardhan, Ashutosh A., Glenn T. Wright, and Thomas F. Edgar. "Nonlinear Model-Predictive Control of Distributed-Parameter Systems." Chemical Engineering Science 47, no. 4 (1992): 721–35. http://dx.doi.org/10.1016/0009-2509(92)80264-d.

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39

Mustafayev, Mammad I., Mohammad Mirzazadeh, and Mehmet Ekici. "On Boundary Control Problem of Distributed Parameter Systems." International Journal of Applied and Computational Mathematics 3, S1 (July 26, 2017): 961–69. http://dx.doi.org/10.1007/s40819-017-0393-6.

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40

Meirovitch, L., and L. M. Silverberg. "Control of non-self-adjoint distributed-parameter systems." Journal of Optimization Theory and Applications 47, no. 1 (September 1985): 77–90. http://dx.doi.org/10.1007/bf00941317.

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41

KOBAYASHI, TOSHIHIRO. "Zeros and design of control systems for distributed parameter systems." International Journal of Systems Science 23, no. 9 (September 1992): 1507–15. http://dx.doi.org/10.1080/00207729208949402.

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42

WANYI, CHEN, and FENGSHENG TU. "Quadratic stability of uncertain distributed–parameter systems." IMA Journal of Mathematical Control and Information 11, no. 3 (1994): 201–8. http://dx.doi.org/10.1093/imamci/11.3.201.

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43

EL JAI, A., M. C. SIMON, E. ZERRIK, and A. J. PRITCHARD. "Regional controllability of distributed parameter systems." International Journal of Control 62, no. 6 (December 1995): 1351–65. http://dx.doi.org/10.1080/00207179508921603.

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44

REBIAI, S. E., and A. S. I. ZINOBER. "Stabilization of uncertain distributed parameter systems." International Journal of Control 57, no. 5 (May 1993): 1167–75. http://dx.doi.org/10.1080/00207179308934438.

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45

Hwang, Jai Hyuk, Doo Man Kim, and Kyoung Ho Lim. "Robustness of Natural Controls of Distributed-Parameter Systems." Journal of Vibration and Acoustics 118, no. 1 (January 1, 1996): 56–63. http://dx.doi.org/10.1115/1.2889635.

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In this paper, the effect of parameter and spatial discretization errors on the closed-loop behavior of distributed-parameter systems is analyzed for natural controls. If the control force designed on the basis of the postulated system with the parameter and discretization errors is applied to control the actual system, the closed-loop performance of the actual system will be degraded depending on the degree of the errors. The extent of deviation of the closed-loop performance from the expected one is derived and evaluated using operator techniques. It has been found that the extent of the deviation is proportional to the magnitude of the parameter and discretization errors, and that the proportional coeffecient depends on the structures of the natural controls.

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46

Burke, S. E., and J. E. Hubbard. "Spatial Filtering Concepts in Distributed Parameter Control." Journal of Dynamic Systems, Measurement, and Control 112, no. 4 (December 1, 1990): 565–73. http://dx.doi.org/10.1115/1.2896181.

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A new method of analyzing distributed parameter control systems is presented, based upon their input/output representation in a spatially and temporally transformed frequency space. The classes of distributed systems amenable to the analysis are described in terms of their Green’s functions. The plants’ input/output relations are studied in the transformed space using the singular value decomposition to determine the system’s spatial performance. Performance is quantified in terms of generalized command following, disturbance rejection, noise rejection, controllability, and observability over spatial and temporal bandwidths, with suitable design measures presented. The analysis provides insight into the performance of sensor and actuator distributions in achieving spatial frequency performance specifications, determines spatial regimes where the response is directional, and quantifies sensor and actuator placement with respect to limitations of system and transducer spatial modelling. The analysis is shown to be applicable to discrete as well as distributed sensors and actuators, and utilizes commonly available numerical analysis techniques. An example problem is considered.

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47

ZHANG, WEIJIAN. "Gain of optical distributed sensing in distributed parameter systems." International Journal of Systems Science 22, no. 12 (December 1991): 2521–40. http://dx.doi.org/10.1080/00207729108910811.

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48

Sano, Hideki. "Finite-Dimensional H ∞ Control of Semilinear Distributed Parameter Systems." IFAC Proceedings Volumes 31, no. 17 (July 1998): 173–78. http://dx.doi.org/10.1016/s1474-6670(17)40330-2.

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49

Franke, D. "Robust Variable Structure Control of Uncertain Distributed Parameter Systems." IFAC Proceedings Volumes 20, no. 1 (June 1987): 263–68. http://dx.doi.org/10.1016/s1474-6670(17)59309-x.

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50

Kassara, Khalid. "Feedback spreading control laws for semilinear distributed parameter systems." Systems & Control Letters 40, no. 4 (July 2000): 289–95. http://dx.doi.org/10.1016/s0167-6911(00)00036-0.

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