References
- Baz, A. (1997). Boundary control of beams using active constrained layer damping. Journal of Vibration and Acoustics, 119(2), 166–172. https://doi.org/https://doi.org/10.1115/1.2889698
- Cao, F., & Liu, J. (2017). An adaptive iterative learning algorithm for boundary control of a coupled ODE–PDE two-link rigid–flexible manipulator. Journal of the Franklin Institute, 354(1), 277–297. https://doi.org/https://doi.org/10.1016/j.jfranklin.2016.10.013
- Chentouf, B. (2003). Boundary feedback stabilization of a variant of the SCOLE model. Journal of Dynamical and Control Systems, 9(2), 201–232. https://doi.org/https://doi.org/10.1023/A:1023285605469
- Chentouf, B., & Mansouri, S. (2020). On the exponential stabilization of a flexible structure with dynamic delayed boundary conditions via one boundary control only. Journal of the Franklin Institute, https://doi.org/https://doi.org/10.1016/j.jfranklin.2020.10.027
- Chentouf, B., & Smaoui, N. (2020). Time-delayed feedback control of a hydraulic model governed by a diffusive wave system. Complexity, 2020, 1–15. https://doi.org/https://doi.org/10.1155/2020/4986026
- Chentouf, B., & Wang, J.-M. (2006). Stabilization and optimal decay rate for a non-homogeneous rotating body-beam with dynamic boundary controls. Journal of Mathematical Analysis and Applications, 318(2), 667–691. https://doi.org/https://doi.org/10.1016/j.jmaa.2005.06.003
- Chentouf, B., & Wang, J.-M. (2007). Optimal energy decay for a nonhomogeneous flexible beam with a tip mass. Journal of Dynamical and Control Systems, 13(1), 37–53. https://doi.org/https://doi.org/10.1007/s10883-006-9002-4
- de Queiroz, M., Dawson, D., Nagarkatti, S., Zhang, F., & Bentsman, J. (2001). Lyapunov-based control of mechanical systems. Applied Mechanics Reviews, 54(5), B81. https://doi.org/https://doi.org/10.1115/1.1399379
- De Queiroz, M. S., & Rahn, C. D. (2002). Boundary control of vibration and noise in distributed parameter systems: An overview. Mechanical Systems and Signal Processing, 16(1), 19–38. https://doi.org/https://doi.org/10.1006/mssp.2001.1438
- Do, K. D. (2017). Boundary control design for extensible marine risers in three dimensional space. Journal of Sound and Vibration, 388, 1–19. https://doi.org/https://doi.org/10.1016/j.jsv.2016.10.011
- Do, K. D. (2020). Boundary tracking control of flexible beams for transferring motions. International Journal of Systems Science, 51(12), 2091–2114. https://doi.org/https://doi.org/10.1080/00207721.2020.1772401
- Do, K. D., & Pan, J. (2008). Boundary control of transverse motion of marine risers with actuator dynamics. Journal of Sound and Vibration, 318(4–5), 768–791. https://doi.org/https://doi.org/10.1016/j.jsv.2008.05.009
- Do, K. D., & Pan, J. (2009). Boundary control of three-dimensional inextensible marine risers. Journal of Sound and Vibration, 327(3–5), 299–321. https://doi.org/https://doi.org/10.1016/j.jsv.2009.07.009
- Entessari, F., Najafi Ardekany, A., & Alasty, A. (2020). Exponential stabilization of flexural sway vibration of gantry crane via boundary control method. Journal of Vibration and Control, 26(1–2), 36–55. https://doi.org/https://doi.org/10.1177/1077546319876147
- Fung, R.-F., Wu, J.-W., & Lu, P.-Y. (2002). Adaptive boundary control of an axially moving string system. Journal of Vibration and Acoustics, 124(3), 435–440. https://doi.org/https://doi.org/10.1115/1.1476381
- Ge, S. S., Zhang, S., & He, W. (2011). Vibration control of an Euler–Bernoulli beam under unknown spatiotemporally varying disturbance. International Journal of Control, 84(5), 947–960. https://doi.org/https://doi.org/10.1080/00207179.2011.584197
- Guo, B. Z., & Ivanov, S. A. (2005). Boundary controllability and observability of a one-dimensional nonuniform SCOLE system. Journal of Optimization Theory and Applications, 127(1), 89–108. https://doi.org/https://doi.org/10.1007/s10957-005-6394-3
- Halim, D., & Cazzolato, B. S. (2006). A multiple-sensor method for control of structural vibration with spatial objectives. Journal of Sound and Vibration, 296(1–2), 226–242. https://doi.org/https://doi.org/10.1016/j.jsv.2006.02.017
- Hardy, G. H., Littlewood, J. E., & Polya, G. (1959). Inequalities. Cambridge Univ. Press.
- He, W., & Ge, S. S. (2015). Dynamic modeling and vibration control of a flexible satellite. IEEE Transactions on Aerospace and Electronic Systems, 51(2), 1422–1431. https://doi.org/https://doi.org/10.1109/TAES.2014.130804
- He, W., & Ge, S. S. (2016). Cooperative control of a nonuniform gantry crane with constrained tension. Automatica, 66, 146–154. https://doi.org/https://doi.org/10.1016/j.automatica.2015.12.026
- He, W., Ge, S. S., & Huang, D. (2015). Modeling and vibration control for a nonlinear moving string With output constraint. IEEE/ASME Transactions on Mechatronics, 20(4), 1886–1897. https://doi.org/https://doi.org/10.1109/TMECH.2014.2358500
- He, W., He, X., & Ge, S. S. (2015). Boundary output feedback control of a flexible string system with input saturation. Nonlinear Dynamics, 80(1–2), 871–888. https://doi.org/https://doi.org/10.1007/s11071-015-1913-8
- He, W., & Liu, J. (2019). Vibration control of a flexible beam with input saturation. In Active vibration control and stability Analysis of flexible beam systems (pp. 75–83). Springer. https://doi.org/https://doi.org/10.1007/978-981-10-7539-1_5
- He, W., Member, S., & Ge, S. S. (2012). Robust Adaptive boundary control of a vibrating String under unknown time-varying disturbance. IEEE Transactions on Control Systems Technology, 20(1), 48–58. https://doi.org/https://doi.org/10.1109/TCST.2010.2099230
- He, W., & Sun, C. (2016). Boundary feedback stabilisation of a flexible robotic manipulator with constraint. International Journal of Control, 89(3), 635–651. https://doi.org/https://doi.org/10.1080/00207179.2015.1088966
- He, W., Zhang, S., & Ge, S. S. (2013a). Boundary output-feedback stabilization of a timoshenko beam using disturbance observer. IEEE Transactions on Industrial Electronics, 60(11), 5186–5194. https://doi.org/https://doi.org/10.1109/TIE.2012.2219835
- He, W., Zhang, S., & Ge, S. S. (2013b). Boundary control of a flexible riser with the application to marine installation. IEEE Transactions on Industrial Electronics, 60(12), 5802–5810. https://doi.org/https://doi.org/10.1109/TIE.2013.2238873
- He, X., He, W., Chen, Y., Mu, X., Yu, Y., & Sun, C. (2018). Boundary control of flexible aircraft wings for vibration suppression. International Journal of Control, 1–10. https://doi.org/https://doi.org/10.1080/00207179.2018.1442025
- He, X., He, W., Shi, J., & Sun, C. (2017). Boundary vibration control of variable length crane systems in Two-dimensional space with output constraints. IEEE/ASME Transactions on Mechatronics, 22(5), 1952–1962. https://doi.org/https://doi.org/10.1109/TMECH.2017.2721553
- He, X., He, W., & Sun, C. (2017). Robust adaptive vibration control for an uncertain flexible timoshenko robotic manipulator with input and output constraints. International Journal of Systems Science, 48(13), 2860–2870. https://doi.org/https://doi.org/10.1080/00207721.2017.1360963
- He, X., Song, Y., Han, Z., Zhang, S., Jing, P., & Qi, S. (2020). Adaptive inverse backlash boundary vibration control design for an Euler–bernoulli beam system. Journal of the Franklin Institute, 357(6), 3434–3450. https://doi.org/https://doi.org/10.1016/j.jfranklin.2019.12.034
- Krstic, M. (2009). Compensating a string PDE in the actuation or sensing path of an unstable ODE. IEEE Transactions on Automatic Control, 54(6), 1362–1368. https://doi.org/https://doi.org/10.1109/TAC.2009.2015557
- Liu, Y., Zhao, Z., & He, W. (2017). Boundary control of an axially moving system with high acceleration/deceleration and disturbance observer. Journal of the Franklin Institute, 354(7), 2905–2923. https://doi.org/https://doi.org/10.1016/j.jfranklin.2017.01.026
- Liu, Z., Liu, J., & He, W. (2017). Partial differential equation boundary control of a flexible manipulator with input saturation. International Journal of Systems Science, 48(1), 53–62. https://doi.org/https://doi.org/10.1080/00207721.2016.1152416
- Liu, Z., Liu, J., & He, W. (2018). Dynamic modeling and vibration control for a nonlinear 3-dimensional flexible manipulator. International Journal of Robust and Nonlinear Control, 28(13), 3927–3945. https://doi.org/https://doi.org/10.1002/rnc.4113
- Lotfazar, A., Eghtesad, M., & Najafi, A. (2008). Vibration control and trajectory tracking for general In-plane motion of an Euler–Bernoulli beam via two-time scale and boundary control methods. Journal of Vibration and Acoustics, 130(5), 051009. https://doi.org/https://doi.org/10.1115/1.2948406
- Luo, B., Huang, H., Shan, J., & Nishimura, H. (2014). Active vibration control of flexible manipulator using auto disturbance rejection and input shaping. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 228(10), 1909–1922. https://doi.org/https://doi.org/10.1177/0954410013505951
- Meirovitch, L., & Baruh, H. (1983). On the problem of observation spillover in self-adjoint distributed-parameter systems. Journal of Optimization Theory and Applications, 39(2), 269–291. https://doi.org/https://doi.org/10.1007/BF00934533
- Morgul, O. (1992). Dynamic boundary control of a Euler-Bernoulli beam. IEEE Transactions on Automatic Control, 37(5), 639–642. https://doi.org/https://doi.org/10.1109/9.135504
- Najafi, A., Eghtesad, M., Daneshmand, F., & Lotfazar, A. (2011). Boundary stabilization of parachute dams in contact With fluid. Journal of Vibration and Acoustics, 133(6), 061009. https://doi.org/https://doi.org/10.1115/1.4004662
- Nguyen, Q. C., & Hong, K. S. (2010). Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control. Journal of Sound and Vibration, 329(22), 4588–4603. https://doi.org/https://doi.org/10.1016/j.jsv.2010.05.021
- Queiroz, M. S. D., Dawson, D. M., Agarwal, M., & Zhang, F. (1999a). Adaptive nonlinear boundary control of a flexible link robot arm. IEEE Transactions on Robotics and Automation, 15(4), 779–787. https://doi.org/https://doi.org/10.1109/70.782034
- Queiroz, M. S. D., Dawson, D. M., Agarwal, M., & Zhang, F. (1999b). Adaptive nonlinear boundary control of a flexible link robot arm. IEEE Transactions on Robotics and Automation, 15(4), 779–787. https://doi.org/https://doi.org/10.1109/70.782034
- Rahn, C. D. (2001). Mechatronic control of distributed noise and vibration. Springer Berlin Heidelberg. https://doi.org/https://doi.org/10.1007/978-3-662-04641-8
- Siciliano, B., & Book, W. J. (1988). A singular perturbation approach to control of lightweight flexible manipulators. The International Journal of Robotics Research, 7(4), 79–90. https://doi.org/https://doi.org/10.1177/027836498800700404
- Tavasoli, A. (2018). Well-posedness and exponential stability of two-dimensional vibration model of a boundary-controlled curved beam with tip mass. International Journal of Systems Science, 49(13), 2847–2860. https://doi.org/https://doi.org/10.1080/00207721.2018.1526348
- Tavasoli, A., & Enjilela, V. (2017). Active disturbance rejection and lyapunov redesign approaches for robust boundary control of plate vibration. International Journal of Systems Science, 48(8), 1656–1670. https://doi.org/https://doi.org/10.1080/00207721.2017.1280553
- Tavasoli, A., & Mohammadpour, O. (2018). Dynamic modeling and adaptive robust boundary control of a flexible robotic arm with 2-dimensional rigid body rotation. International Journal of Adaptive Control and Signal Processing, 32(6), 891–907. https://doi.org/https://doi.org/10.1002/acs.2874
- Vatankhah, R., Najafi, A., Salarieh, H., & Alasty, A. (2015). Lyapunov-based boundary control of strain gradient microscale beams with exponential decay rate. Journal of Vibration and Acoustics, 137(3), 031003. https://doi.org/https://doi.org/10.1115/1.4028964
- Yamaguchi, K., Endo, T., Kawai, Y., & Matsuno, F. (2020). Non-collocated boundary control for contact-force control of a one-link flexible arm. Journal of the Franklin Institute, 357(7), 4109–4131. https://doi.org/https://doi.org/10.1016/j.jfranklin.2020.01.018
- Zhao, X., & Weiss, G. (2010). Well-posedness, regularity and exact controllability of the SCOLE model. Mathematics of Control, Signals, and Systems, 22(2), 91–127. https://doi.org/https://doi.org/10.1007/s00498-010-0053-4