Robust Passivity-based Sliding Mode Control of a Large Class of Nonlinear Systems Subject to Unmatched Uncertainties: A Robot Manipulator Case Study

References

• M. C. Pai, “Disturbance observer-based global sliding mode control for uncertain time-delay nonlinear systems,” IETE J. Res., Vol. 66, pp. 1–10, May. 2020. doi:10.1080/03772063.2020.1756935
   Web of Science ®Google Scholar
• A. Razzaghian, R. Kardehi Moghaddam, and N. Pariz, “Adaptive neural network conformable fractional-order nonsingular terminal sliding mode control for a class of second-order nonlinear systems,” IETE J. Res., 1–10, Jul. 2020.
   Web of Science ®Google Scholar
• H. Pan, X. Jing, W. Sun, and H. Gao, “A bioinspired dynamics-based adaptive tracking control for nonlinear suspension systems,” IEEE Trans. Control Syst. Technol., Vol. 26, no. 3, pp. 903–914, May. 2018. doi:10.1109/TCST.2017.2699158
   Web of Science ®Google Scholar
• H. Pan, and W. Sun, “Nonlinear output feedback finite-time control for vehicle active suspension systems,” IEEE Trans. Ind. Informatics, Vol. 15, no. 4, pp. 2073–2082, Apr. 2019. doi:10.1109/TII.2018.2866518
   Web of Science ®Google Scholar
• C. C. Wen, and C. C. Cheng, “Design of sliding surface for mismatched uncertain systems to achieve asymptotical stability,” J. Franklin Inst., Vol. 345, no. 8, pp. 926–941, Nov. 2008. doi:10.1016/j.jfranklin.2008.06.003
   Web of Science ®Google Scholar
• M. L. Corradini, R. Giambò, and S. Pettinari, “FO sliding surface for the robust control of integer-order LTI plants,” IFAC Proc., Vol. 19, pp. 2034–2039, Jan. 2014. doi:10.3182/20140824-6-ZA-1003.00092
   Google Scholar
• B. Veselić, B. Draženović, and Č Milosavljević, “Sliding manifold design for linear systems with scalar unmatched disturbances,” in Studies in systems, decision and control, Springer International Publishing, May. 2016, vol. 55, pp. 539–556.
   Google Scholar
• S. Mobayen, “An LMI-based robust controller design using global nonlinear sliding surfaces and application to chaotic systems,” Nonlinear Dyn., Vol. 79, no. 2, pp. 1075–1084, Jan. 2014. doi:10.1007/s11071-014-1724-3
   Web of Science ®Google Scholar
• A. Argha, S. W. Su, A. Savkin, and B. Celler, “Design of optimal sliding-mode control using partial eigenstructure assignment,” Int. J. Control, Vol. 92, no. 7, pp. 1511–1523, Jul. 2019. doi:10.1080/00207179.2017.1398418
   Web of Science ®Google Scholar
• H. Chenarani, and M. M. Fateh, “Robust passivity-based voltage control of robot manipulators,” J. Electr. Comput. Eng. Innov., Vol. 7, no. 2, pp. 145–154, Jun. 2020.
   Google Scholar
• A. Yaghmaei, and M. J. Yazdanpanah, “Output control design and separation principle for a class of port-Hamiltonian systems,” Int. J. Robust Nonlinear Control, Vol. 29, no. 4, pp. 867–881, Mar. 2019. doi:10.1002/rnc.4407
   Web of Science ®Google Scholar
• W. Gil-González, O. D. Montoya, and A. Garces, “Standard passivity-based control for multi-hydro-turbine governing systems with surge tank,” Appl. Math. Model., Vol. 79, pp. 1–17, Mar. 2020. doi:10.1016/j.apm.2019.11.010
   Web of Science ®Google Scholar
• Z. Liu, D. Theilliol, L. Yang, Y. He, and J. Han, “Interconnection and damping assignment passivity-based control design under loss of actuator effectiveness,” J. Intell. Robot. Syst. Theory Appl., Vol. 100, pp. 1–17, Mar. 2020.
   Web of Science ®Google Scholar
• Z. Liu, H. R. Karimi, and J. Yu, “Passivity-based robust sliding mode synthesis for uncertain delayed stochastic systems via state observer,” Automatica. (Oxf), Vol. 111, pp. 1–10, Jan. 2020.
   Web of Science ®Google Scholar
• A. Chalanga, M. Patil, B. Bandyopadhyay, and H. Arya, “Output regulation using new sliding surface with an implementation on inverted pendulum system,” European J. Cont., 85–91, Jan. 2019. doi:10.1016/j.ejcon.2018.09.011
   Web of Science ®Google Scholar
• T. Binazadeh, M. Karimi, and A. R. Tavakolpour-Saleh, “Robust control approach for handling matched and/or unmatched uncertainties in port-controlled Hamiltonian systems,” IET Cyber-Systems Robot., Vol. 1, no. 3, pp. 73–80, Dec. 2019. doi:10.1049/iet-csr.2019.0019
   Google Scholar
• K. Fujimoto, N. Sakata, I. Maruta, and J. Ferguson, “A passivity based sliding mode controller for simple Port-Hamiltonian systems,” IEEE Control Syst. Lett., Vol. 5, no. 3, pp. 839–844, Jul. 2021. doi:10.1109/LCSYS.2020.3005327
   Google Scholar
• X. Wei, and J. E. Mottershead, “Robust passivity-based continuous sliding-mode control for under-actuated nonlinear wing sections,” Aerosp. Sci. Technol., Vol. 60, pp. 9–19, Jan. 2017. doi:10.1016/j.ast.2016.10.024
   Web of Science ®Google Scholar
• A. Castillo, P. García, R. Sanz, and P. Albertos, “Enhanced extended state observer-based control for systems with mismatched uncertainties and disturbances,” ISA Trans., Vol. 73, pp. 1–10, Feb. 2018. doi:10.1016/j.isatra.2017.12.005
   PubMed Web of Science ®Google Scholar
• X. Li, and J. Zhou, “A sliding mode control design for mismatched uncertain systems based on states transformation scheme and chattering alleviating scheme,” Trans. Inst. Meas. Control, Vol. 40, no. 8, pp. 2509–2516, May. 2018. doi:10.1177/0142331216680351
   Web of Science ®Google Scholar
• B. C. Zheng, and J. H. Park, “Sliding mode control design for linear systems subject to quantization parameter mismatch,” J. Franklin Inst., Vol. 353, no. 1, pp. 37–53, Jan. 2016. doi:10.1016/j.jfranklin.2015.10.018
   Web of Science ®Google Scholar
• J. Wang, C. Shao, and Y. Q. Chen, “Fractional order sliding mode control via disturbance observer for a class of fractional order systems with mismatched disturbance,” SSRN Electron. J., Vol. 53, no. 1, pp. 8–19, Aug. 2018.
   Google Scholar
• H. K. Khalil. Nonlinear systems. Michigan: Prentice Hall, 2002.
   Google Scholar
• M. Hosseinzadeh, and M. J. Yazdanpanah, “Robust adaptive passivity-based control of open-loop unstable affine non-linear systems subject to actuator saturation,” IET Control Theory Appl., Vol. 11, no. 16, pp. 2731–2742, Nov. 2017. doi:10.1049/iet-cta.2017.0459
   Web of Science ®Google Scholar
• J. W. C. Robinson, “Block backstepping for nonlinear flight control law design,” Lect. Notes Control Inf. Sci., Vol. 365, pp. 231–257, 2007.
   Google Scholar
• B. Xu, and F. Sun, “Composite intelligent learning control of strict-feedback systems with disturbance,” IEEE Trans. Cybern., Vol. 48, no. 2, pp. 730–741, Jan. 2018. doi:10.1109/TCYB.2017.2655053
   PubMed Web of Science ®Google Scholar
• P. Fedor, and D. Perdukova, “Model-based Fuzzy control applied to a real nonlinear mechanical system,” Iran. J. Sci. Technol. - Trans. Mech. Eng., Vol. 40, no. 2, pp. 113–124, Jun. 2016. doi:10.1007/s40997-016-0005-9
   Web of Science ®Google Scholar
• A. ur Rehman, N. Ali, O. Khan, and M. Pervaiz, “A disturbance observer based sliding mode control for variable speed wind turbine,” IETE J. Res., Vol. 65, pp. 1–8, Oct. 2019.
   Google Scholar
• A. Tony Thomas, R. Parameshwaran, S. Sathiyavathi, and A. Vimala Starbino, “Improved position tracking performance of Electro hydraulic actuator using PID and sliding mode controller,” IETE J. Res., Vol. 18, pp. 1–13, Oct. 2019.
   Google Scholar
• F. J. Lin, S. G. Chen, and I. F. Sun, “Intelligent sliding-mode position control using recurrent wavelet fuzzy neural network for electrical power steering system,” Int. J. Fuzzy Syst., Vol. 19, no. 5, pp. 1344–1361, Oct. 2017. doi:10.1007/s40815-017-0342-x
   Web of Science ®Google Scholar
• M. W. Spong, S. Hutchinson, and M. Vidyasagar. Robot modeling and control. Vol. 26, no. 6. New York: Wiley, 2006.
   Google Scholar
• S. M. Ahmadi, and M. M. Fateh, “Task-space asymptotic tracking control of robots using a direct adaptive taylor series controller,” J. Vib. Control, Vol. 24, no. 23, pp. 5570–5584, Dec. 2018. doi:10.1177/1077546318758800
   Web of Science ®Google Scholar
• J. L. Chang, “Passivity-based sliding mode controller/observer for second-order nonlinear systems,” Int. J. Robust Nonlinear Control, Vol. 29, no. 6, pp. 1976–1989, Apr. 2019. doi:10.1002/rnc.4474
   Web of Science ®Google Scholar