**Commenced**in January 2007

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**Edition:**International

**Paper Count:**33030

##### Controller Design for Euler-Bernoulli Smart Structures Using Robust Decentralized POF via Reduced Order Modeling

**Authors:**
T.C. Manjunath,
B. Bandyopadhyay

**Abstract:**

**Keywords:**
Smart structure,
Euler-Bernoulli beam theory,
Periodic output feedback control,
Finite Element Method,
State space
model,
SISO,
Embedded sensors and actuators,
Vibration control,
Reduced order model

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1071738

**References:**

[1] M. Aoki, "Control of large scale dynamic systems by aggregation," IEEE Trans. Auto. Contr., vol. AC-13, pp. 246 - 253, 1968.

[2] T. Baily, and J. E. Hubbard Jr., "Distributed piezoelectric polymer active vibration control of a cantilever beam", J. of Guidance, Control and Dynamics, vol. 8, pp, 605 - 611, 1985.

[3] E. F. Crawley, and J. De Luis, "Use of piezoelectric actuators as elements of intelligent structures," AIAA J, vol. 25, pp. 1373 - 1385, 1987.

[4] A. B. Chammas, and C. T. Leondes, "Pole placement by piecewise constant output feedback," Int. J. Contr., vol. 29, pp. 31 - 38, 1979.

[5] A. B. Chammas, and C. T. Leondes, "On the design of LTI systems by periodic output feedback, Part-I, Discrete Time pole assignment," Int. J. Ctrl., vol. 27, pp. 885 - 894, 1978.

[6] A. B. Chammas, and C. T. Leondes, "On the design of LTI systems by periodic output feedback, Part-II, Output feedback controllability," Int. J. Ctrl., vol. 27, pp. 895 - 903, 1978.

[7] B. Culshaw, "Smart Structures : A concept or a reality," J. of Systems and Control Engg., vol. 26, no. 206, pp. 1 - 8, 1992.

[8] S. B. Choi, C. Cheong, and S. Kini, "Control of flexible structures by distributed piezo-film actuators and sensors," J. of Intelligent Materials and Structures, vol. 16, pp. 430 - 435, 1995.

[9] E. J. Davison, "A method for simplifying linear dynamical systems," IEEE Trans. Auto. Contr., vol. AC-11, pp. 93 - 101, 1966.

[10] J. L. Fanson, and T. K. Caughey, "Positive position feedback control for structures," AIAA J., vol. 18, no. 4, pp. 717 - 723, 1990.

[11] P. Gahnet, A. Nemirovski, A. J. Laub, and M. Chilali, "LMI Tool box for Matlab", The Math works Inc., Natick MA, 1995.

[12] W. Hwang, and H. C. Park, "Finite element modeling of piezoelectric sensors and actuators", AIAA J., vol. 31, no. 5, pp. 930 - 937, 1993.

[13] S. Hanagud, M. W. Obal, and A. J. Callise, "Optimal vibration control by the use of piezoceramic sensors and actuators," J. of Guidance, Control and Dyn., vol. 15, no. 5, pp. 1199 - 1206, 1992.

[14] S. S. Lamba, and S. Vittal Rao, "On the suboptimal control via the simplified model of Davison," IEEE Trans. Auto. Contr., vol. AC-19, pp. 448 - 450, 1974.

[15] W. S. Levine, and M. Athans, "On the determination of the optimal constant output feedback gains for linear multivariable systems," IEEE Trans. Auto. Contr., vol. AC-15, pp. 44 - 48, 1970.

[16] J. Mark Balas, "Feedback control of flexible structures," IEEE Trans. Automat. Contr., vol. AC-23, pp. 673 - 679, 1978.

[17] T. C. Manjunath, and B. Bandyopadhyay, "Vibration control of a smart flexible cantilever beam using periodic output feedback control technique," Proc. Fourth Asian Control Conference ASCC-2002, paper no. 1679, pp. 1302 - 1307, Sept. 25-27, 2002.

[18] T. C. Manjunath, and B. Bandyopadhyay, "Vibration control of a smart flexible cantilever beam using periodic output feedback," Asian Journal of Control, vol. 6, no. 1, pp. 74 - 87, Mar. 2004.

[19] T. C. Manjunath, and B. Bandyopadhyay, "Fault tolerant control of flexible smart structures using robust decentralized periodic output sampling feedback technique," International Journal of Smart Mater. and Struct., vol. 14, no. 4, pp. 624 - 636, Aug. 2005.

[20] T. C. Manjunath, and B. Bandyopadhyay, R. Gupta, and M. Umapathy, "Multivariable control of a smart structure using periodic output feedback control technique," Proc. of the Seventh International Conference on Control, Automation, Robotics and Computer Vision, ICARCV 2002, Singapore, Paper No. 2002P1283, pp. 1481-1486, Dec. 2-5, 2002.

[21] M. S. Mahmoud, and G. M. Singh, "Large scale systems modeling," Pergamon Press, Oxford, 1981.

[22] S. Rao, and M. Sunar, "Piezoelectricity and its uses in disturbance sensing and control of flexible structures : A survey," Applied Mechanics Rev., vol. 47, no. 2, pp. 113 - 119, 1994.

[23] V. L. Syrmos, P. Abdallah, P. Dorato, and K. Grigoriadis, "Static output feedback : A survey," Automatica, vol. 33, no. 2, pp. 125 - 137, 1997.

[24] P. Seshu, "Textbook of Finite Element Analysis," 1st Ed. Prentice Hall of India, New Delhi, 2004.

[25] M. Umapathy, and B. Bandyopadhyay, "Control of flexible beam through smart structure concept using periodic output feedback," System Science Journal, vol. 26, no. 1, pp. 23 - 46, 2000.

[26] H. Werner, and K. Furuta, "Simultaneous stabilization based on output measurements," Kybernetika, vol. 31, no. 4, pp. 395 - 411, 1995.

[27] H. Werner, "Robust multivariable control of a turbo-generator by periodic output feedback," vol. 31, no. 4, pp. 395 - 411, 1997.

[28] Y. C. Yan, J. Lam, and Y. X. Sun, "Static output feedback stabilization: An LMI approach," Automatica, vol. 34, no. 12, pp. 1641 - 1645, 1998.