Reduced-order observer based output feedback control for a Timoshenko beam

References

• Byrnes, C. I., Lauko, I. G., Gilliam, D. S., & Shubov, V. I. (2000). Output regulation for linear distributed parameter systems. IEEE Transactions on Automatic Control, 45(12), 2236–2252. https://doi.org/10.1109/9.895561
   Web of Science ®Google Scholar
• Deutscher, J. (2016). Backstepping design of robust output feedback regulators for boundary controlled parabolic PDEs. IEEE Transactions on Automatic Control, 61(8), 2288–2294. https://doi.org/10.1109/TAC.2015.2491718
   Web of Science ®Google Scholar
• Feng, H., Guo, B. Z., & Wu, X. H. (2020). Trajectory planning approach to output tracking for a 1-D wave equation. IEEE Transactions on Automatic Control, 65(5), 1841–1854. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar
• Fu, Q., Wang, X., Zou, Y., & He, W. (2022). A miniature video stabilization system for flapping-wing aerial vehicles. Guidance, Navigation and Control, 2(1), 2250001:1–22. https://doi.org/10.1142/S2737480722500017
   Google Scholar
• Guo, B. Z., & Meng, T. T. (2020). Robust error based non-collocated output tracking control for a heat equation. Automatica, 114, 108818, 11 pp. https://doi.org/10.1016/j.automatica.2020.108818
   Web of Science ®Google Scholar
• Guo, B. Z., & Meng, T. T. (2021a). Robust tracking error feedback control for output regulation of Euler-Bernoulli beam equation. Mathematics of Control, Signals, and Systems, 33(4), 707–754. https://doi.org/10.1007/s00498-021-00298-8
   Web of Science ®Google Scholar
• Guo, B. Z., & Meng, T. T. (2021b). Robust output regulation for Timoshenko beam equation with two inputs and two outputs. International Journal of Robust and Nonlinear Control, 31(4), 1245–1269. https://doi.org/10.1002/rnc.v31.4
   Web of Science ®Google Scholar
• Guo, W., & Jin, F.-F. (2020). Adaptive error feedback regulator design for 1D heat equation. Automatica, 113(108810), 9. https://doi.org/10.1016/j.automatica.2020.108810.
   Google Scholar
• Hamalainen, T., & Pohjolainen, S. (2010). Robust regulation of distributed parameter systems with infinite-dimensional exosystems. SIAM Journal on Control and Optimization, 48(8), 4846–4873. https://doi.org/10.1137/090757976
   Web of Science ®Google Scholar
• Han, Z., Liu, Z., Kang, W., & He, W. (2022). Boundary feedback control of a nonhomogeneous wind turbine tower with exogenous disturbances. IEEE Transactions on Automatic Control, 67(4), 1952–1959. https://doi.org/10.1109/TAC.2021.3071021
   Web of Science ®Google Scholar
• He, W., Meng, T. T., Zhang, S., Liu, J.-K., Li, G., & Sun, C. (2019). Dual-loop adaptive iterative learning control for a Timoshenko beam with output constraint and input backlash. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 49(5), 1027–1038. https://doi.org/10.1109/TSMC.6221021
   Web of Science ®Google Scholar
• He, W., Mu, X., Zhang, L., & Zou, Y. (2021). Modeling and trajectory tracking control for flapping-wing micro aerial vehicles. IEEE/CAA Journal of Automatica Sinica, 8(1),148–156. https://doi.org/10.1109/JAS.6570654
   Google Scholar
• He, W., Tang, X., Wang, T., & Liu, Z. (2022). Trajectory tracking control for a three-dimensional flexible wing. IEEE Transactions on Control Systems Technology, 30(5), 2243–2250. https://doi.org/10.1109/TCST.2021.3139087
   Web of Science ®Google Scholar
• Huang, J. (2004). Nonlinear output regulation theory and application. SIAM.
   Google Scholar
• Jin, F. F., & Guo, B. Z. (2019). Performance boundary output tracking for a wave equation with control unmatched disturbance. European Journal of Control, 50, 30–40. https://doi.org/10.1016/j.ejcon.2019.04.006
   Web of Science ®Google Scholar
• Kong, L., He, W., Chen, W., Zhang, H., & Wang, Y. (2022). Dynamic movement primitives based robot skills learning. Machine Intelligence Research, in press, 2022. https://doi.org/10.1007/s11633-022-1346-z
   Google Scholar
• Li, Z., Li, X., Li, Q., Su, H., Kan, Z., & He, W. (2022). Human-in-the-loop control of soft exosuits using impedance learning on different terrains. IEEE Transactions on Robotics, 38(5), 2979–2993. https://doi.org/10.1109/TRO.2022.3160052
   Web of Science ®Google Scholar
• Liu, S., Liu, Z., Li, Y., & He, W. (2022). Nonlinear disturbance observer-based direct joint control for manipulation of a flexible payload with output constraints. International Journal of Control. https://doi.org/10.1080/00207179.2022.2046858
   Google Scholar
• Liu, W., & Huang, J. (2019). Global robust practical output regulation for nonlinearsystems in output feedback form by output-basedevent-triggered control. International Journal of Robust and Nonlinear Control, 29(6), 2007–2025. https://doi.org/10.1002/rnc.v29.6
   Google Scholar
• Liu, Y., Chen, X., Mei, Y., & Wu, Y. (2020). Observer-based boundary control for an asymmetric output-constrained flexible robotic manipulator. Science China Information Sciences. https://doi.org/10.1007/s11432-019-2893-y
   Web of Science ®Google Scholar
• Liu, Z., Han, Z., Zhao, Z., & He, W. (2020). Modeling and adaptive control for a spatial flexible spacecraft with unknown actuator failures. Science China Information Sciences. https://doi.org/10.1007/s11432-020-3109-x
   Web of Science ®Google Scholar
• Liu, Z., He, X., Zhao, Z., Ahn, C. K., & Li, H.-X. (2020). Vibration control for spatial aerial refueling hoses with bounded actuators. IEEE Transactions on Industrial Electronics. https://doi.org/10.1109/TIE.2020.2984442
   Web of Science ®Google Scholar
• Paunonen, L. (2016). Controller design for robust output regulation of regular linear systems. IEEE Transactions on Automatic Control, 61(10), 2974–2986. https://doi.org/10.1109/TAC.2015.2509439
   Web of Science ®Google Scholar
• Paunonen, L., & Phan, D. (2013). Reduced order internal models in robust output regulation. IEEE Transactions on Automatic Control, 58(9), 2307–2318. https://doi.org/10.1109/TAC.2013.2257596
   Web of Science ®Google Scholar
• Peng, Y., & Liu, J. (2017). Modeling and vibration control for a flexible pendulum inverted system based on a PDE observer. International Journal of Control, 90(8), 1736–1751. https://doi.org/10.1080/00207179.2016.1221136
   Web of Science ®Google Scholar
• Ren, Y., Chen, M., & Liu, J. (2020). Bilateral coordinate boundary adaptive control for a helicopter lifting system with backlash-like hysteresis. Science China Information Sciences, 63(1), 119203. https://doi.org/10.1007/s11432-018-9636-3
   Web of Science ®Google Scholar
• Vu, Q. P., Wang, J. M., Xu, G. Q., & Yung, S. P. (2005). Spectral analysis and system of fundamental solutions for Timoshenko beams. Applied Mathematics Letters, 18, 127–134. https://doi.org/10.1016/j.aml.2004.09.001
   Web of Science ®Google Scholar
• Wang, J.-W. (2021). Exponentially stabilizing observer-based feedback control of a sampled-data linear parabolic multiple-input-multiple-output PDE. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(9), 5742–5751. https://doi.org/10.1109/TSMC.2019.2957389
   Web of Science ®Google Scholar
• Wang, J.-W., & Wang, J-M (2021). Spatiotemporally asynchronous sampled-data control of a linear parabolic PDE on a hypercube. International Journal of Control. https://doi.org/10.1080/00207179.2021.1971768
   Web of Science ®Google Scholar
• Wu, H.-N., Zhang, X. M., Wang, J. W, & Zhu, H. Y. (2021). Observer-based output feedback fuzzy control for nonlinear parabolic PDE-ODE coupled systems. Fuzzy Sets and Systems, 402, 105–123. https://doi.org/10.1016/j.fss.2020.02.012
   Web of Science ®Google Scholar
• Wu, H.-N., & Zhang, X. W. (2020). Static output feedback stabilization for a linear parabolic PDE system with time-varying delay via mobile collocated actuator/sensor pairs. Automatica, 117, 108993, 9 pp. https://doi.org/10.1016/j.automatica.2020.108993
   Web of Science ®Google Scholar
• Wu, Z. H., Deng, F., Guo, B.-Z., Wu, C., & Xiang, Q. (2021). Backstepping active disturbance rejection control for lower triangular nonlinear systems with mismatched stochastic disturbances. IEEE Transactions on Systems, Man, and Cybernetics: Systems. https://doi.org/10.1109/TSMC.2021.3050820
   Google Scholar
• Wu, Z. H., Zhou, H.-C., Guo, B. Z., & Deng, F. (2020). Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems. Nonlinear Dynamics, 101(2), 935–959. https://doi.org/10.1007/s11071-020-05845-7
   Web of Science ®Google Scholar
• Xu, G. Q. (2005). Boundary feedback exponential stabilization of a Timoshenko beam with both ends free. International Journal of Control, 78, 286–297. https://doi.org/10.1080/00207170500095148
   Web of Science ®Google Scholar
• Xu, X. D., & Dubljevic, S. (2017a). Output and error feedback regulator designs for linear infinite-dimensional systems. Automatica, 83, 170–178. https://doi.org/10.1016/j.automatica.2017.06.003
   Web of Science ®Google Scholar
• Xu, X. D., & Dubljevic, S. (2017b). Output regulation for a class of linear boundary controlled first-order hyperbolic PIDE systems. Automatica, 85, 43–52. https://doi.org/10.1016/j.automatica.2017.07.036
   Web of Science ®Google Scholar
• Zhao, Z., & Ahn, C. K. (2021). Boundary output constrained control for a flexible beam system with prescribed performance. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(8), 4650–4658. https://doi.org/10.1109/TSMC.2019.2944900
   Web of Science ®Google Scholar
• Zhou, H.-C., Guo, B. Z., & Xiang, S.-H. (2020). Performance output tracking for multidimensional heat equation subject to unmatched disturbance and noncollocated control. IEEE Transactions on Automatic Control, 65(5), 1940–1955. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar