**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**33065

##### Modeling and FOS Feedback Based Control of SISO Intelligent Structures with Embedded Shear Sensors and Actuators

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

**Abstract:**

**Keywords:**
Smart structure,
Timoshenko beam theory,
Fast output sampling feedback control,
Finite Element Method,
State space model,
SISO,
Vibration control,
LMI

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1082465

**References:**

[1] S.M. Yang, and Y.J. Lee, "Optimization of non-collocated sensor / actuator location and feedback gain in control systems," Smart materials and Structures, vol. 8, pp. 157-166, 1993.

[2] E. Crawley, and J. Luis, "Use Of Piezoelectric Actuators As Elements Of Intelligent Structures," AIAA Journal, vol.25, no. 10, pp. 1373-1385, 1987.

[3] S. Hanagud, M.W. Obal, and A.J. Callise, "Optimal Vibration Control By The Use Of Piezoelectric Sensors And Actuators," Journal of Guidance Control and Dynamics, vol. 15, no. 5, pp. 1199 - 1206, 1992.

[4] B. Bona, M. Indri, and A. Tornamble, "Flexible Piezoelectric Structures-Approximate Motion Equations and Control Algorithms," IEEE Transactions on Automatic Control, vol. 42, no. 1, pp. 94- 101, 1997.

[5] J.E. Hubbard Jr., and T. Baily, "Distributed Piezoelectric Polymer Active Vibration Control Of A Cantilever Beam," Journal Guidance Dynamics and Control, vol. 8, no. 5, pp. 605 - 611, 1985.

[6] 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.

[7] Yong-Yan Cao, J. Lam, and Y.X. Sun, "Static Output Feedback Stabilization: An LMI Approach", Automatica, vol. 34, no. 12, pp. 1641-1645, 1998.

[8] P. Donthireddy, and K. Chandrashekhara, "Modeling and Shape Control of Composite Beam with Embedded Piezoelectric Actuators", Composite Structures, vol. 35, no. 2, pp. 237- 244, 1996.

[9] C.T. Sun, and X.D. Zhang, "Use of Thickness-Shear Mode in Adaptive Sandwich Structures", Smart Materials and Structures, vol. 4, no. 3, pp. 202 - 206, 1995.

[10] W. Hwang, and H.C. Park, "Finite Element Modeling of Piezoelectric Sensors and Actuators", AIAA Journal, vol. 31, no. 5, pp. 930-937,1993.

[11] C. Doschner, and M. Enzmann, "On Model based Controller Design for Smart Structure", Smart Mechanical Systems Adaptronics SAE International USA, pp. 157-166, , 1998.

[12] K. Chandrashekhara, and S. Varadarajan, "Adaptive Shape Control of Composite Beams with Piezoelectric Actuators", J. of Intelligent Materials Systems and Structures, vol. 8, pp. 112-124, 1997.

[13] O.J. Aldraihem, R.C. Wetherhold, and T. Singh, "Distributed Control of Laminated Beams: Timoshenko vs. Euler-Bernoulli Theory", Journal of Intelligent Materials Systems and Structures, vol. 8, pp. 149-157, 1997.

[14] H. Abramovich, "Deflection Control of Laminated Composite Beam with Piezoceramic Layers-Closed Form Solution", Composite Structures, vol. 43, no. 3, pp. 217-231, 1998.

[15] X.D. Zhang, and C.T. Sun, "Formulation of an Adaptive Sandwich Beam", Smart Materials and Structures, vol. 5, no. 6, pp. 814-823, 1996.

[16] S. Raja, G. Prathap, and P.K. Sinha, "Active Vibration Control of Composite Sandwich Beams with Piezoelectric Extension-Bending and Shear Actuators", Smart Materials and Structures, vol. 11, no. 1, pp. 63-71, 2002,

[17] A. Benjeddou, M.A. Trindade, and R. Ohayon, "New Shear Actuated Smart Structure Beam Finite Element", AIAA Journal, vol. 37, pp. 378 - 383, 1998.

[18] O.J. Aldraihem, and A.A. Khdeir, "Smart Beams with Extension and Thickness-Shear Piezoelectric Actuators", Smart Materials and Structures, vol. 9, no. 1, pp. 1- 9, 2000.

[19] V.L. Syrmos, P. Abdallah, P. Dorato, and K. Grigoriadis, "Static Output Feedback A Survey", Automatica, vol. 33, no. 2, pp. 125-137,1997.

[20] H. Werner, and K. Furuta, "Simultaneous Stabilization Based on Output Measurements", Kybernetika, vol. 31, no. 4, pp. 395 - 411,1995

[21] Herbert Werner, 1998, "Multimodal Robust Control by Fast Output Sampling-An LMI Approach," Automatica, Vol. 34, No. 12, pp. 1625-1630.

[22] B. Culshaw, "Smart Structure A Concept or A Reality," Journal of Systems and Control Engg., vol. 26, no. 206, pp. 1-8, 1992.

[23] 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.

[24] 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 Materi. and Struct., vol. 14, no. 4, pp. 624-636, Aug. 2005.

[25] T. C. Manjunath, and B. Bandyopadhyay, "Control of vibrations in flexible smart structures using FOS feedback technique," Int. Journal of Computational Intelligence, vol. 3, no. 2, pp. 127-141, Apr. 2006.

[26] J. B. Kosmataka, and Z. Friedman, "An improved two-node Timoshenko beam finite element", Computers and Struct., vol. 47, no. 3, pp. 473 - 481, 1993.

[27] L. E. Azulay, and H. Abramovich, "Piezoelectric actuation and sensing mechanisms-Closed form solutions," Composite Structures J., vol. 64, pp. 443 - 453, 2004.

[28] A. K. Ahmed, and J. A. Osama, "Deflection analysis of beams with extension and shear piezoelectric patches using discontinuity functions" Smart Materials and Structures, vol. 10, no. 1, pp. 212 -220, 2001.

[29] J.S.M. Moita, I.F.P. Coreia, C.M.M. Soares, and C.A.M. Soares, "Active Control of Adaptive Laminated Structures With Bonded Piezoelectric Sensors and Actuators," in Computers and Structures, 82, 1349 - 1358, 2004.

[30] J.A. Zapfe, and G.A. Lesieutre, "A Discrete Layer Beam Finite Element for The Dynamic Analysis of Composite Sandwiched Beams With Integral Damping Layers," in Computers and Structures, vol. 70, pp. 647 - 666, 1999.

[31] J. Lee, "Free Vibration Analysis of Delaminated Composite Beams," in Computers and Structures, vol. 74, pp. 121 - 129, 2000.

[32] R.C. Louis, C.S. Edward, and M. Brian, "Induced Shear Piezoelectric Actuators for Rotor Blade Trailing Edge Flaps," in Smart Materials and Structures, vol. 11, pp. 24 - 35, 2002.

[33] H. Abramovich, and A. Lishvits, "Free Vibrations of Non-symmetric Cross-ply Laminated Composite Beams," in Journal of Sound and Vibration, vol. 176, no. 5, pp. 597 - 612, 1994.

[34] J.L. Fanson, and et al., "Positive position feedback control for structures," AIAA J., vol. 18, no. 4, pp. 717 - 723, 1992.

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

[36] 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.

[37] T. C. Manjunath, and B. Bandyopadhyay, "Modeling and fast output sampling feedback control of a smart Timoshenko cantilever beam", Smart Structures and Systems, vol. 1, no. 3, pp. 283-308, Sept. 2005.