Optimal Adaptive Sliding Mode Control for a Class of Nonlinear Affine Systems

[1] Artitthang, P., Xu, M., Lin, M., He, Y. (2022). “Robust optimal sliding mode control for the deployment of Coulomb spacecraft formation flying”, Advance in Space Research, 71(1), 439-455.

[2] Bkekri, R., Benamor, A., Alouane, M.A., Fried, G., Messaoud, H.(2018).“Robust adaptive sliding mode control for a human-driven knee joint orthosis”, Industrial Robot, 45(3), 379-389.

[3] Chawla, I., Singla, A. (2021). “Real time stabilization control of a rotary inverted pendulum using LQR based sliding mode controller”, Arabian Journal for Science and Engineering, 46, 2589-2596.

[4] Chairez, I., Utkin, V. (2022). “Electrocardiographically signal simulator based on a sliding mode controlled buck DC-DC power converter”, IFAC-PapersOnLine 55(9), 419-425.

[5] Chen, K. (2018). “Robust optimal adaptive sliding mode control with the disturbance observer for a manipulator robot system”, International Journal of Control, Automation and Systems, 16, 1701-1715.

[6] Das, M. (2016). “Design of optimal sliding mode controller for uncertain systems”, PhD diss. http://gyan.iitg.ernet.in/handle/123456789/789.

[7] Ghamgosar, M., Mirhosseini-Alizamini, S.M. (2021). “Design of optimal sliding mode control based on linear matrix inequality for fractional time-varying delay systems”, International Journal of Industrial Electronics, Control and Optimization (IECO), 5(4).

[8] Ghamgosar, M., Mirhosseini-Alizamini, S.M., Dadkhah, M. (2022). “Sliding mode control of a

class of uncertain nonlinear fractional order time-varying delayed systems based on Razumikhin approach”, Computational Methods for Differential Equations, 10(4), 860-875.

[9] Ghamgosar, M., Mirhosseini-Alizamini, S.M., Khaleghizadeh, S. (2022). “Design of sliding mode control based on Razumikhin approach and linear matrix inequality for nonlinear fractional time-varying delay systems”, Journal of Advanced Mathematical Modeling, 12(2), 271-288, (In Persian).

[10] Hunt, T., Krener A. (2010). “Improved patchy solution to the Hamilton-Jacobi-Bellman equations”, 49th IEEE Conference on Decision and Control (CDC), https://doi.org/10.1109/CDC.2010.5717875.

[11] Jiao, H., Shen, Q. (2020). “Dynamics analysis and vaccination-based sliding mode control of a more generalized SEIR epidemic model”, IEEE Access, 8, 174507-174515.

[12] Irfan, S., Mehmood, A., Razzaq, M.T., Iqbal, J. (2018). “Advanced sliding mode control techniques for inverted Pendulum: Modelling and simulation”, Engineering Science and Technology, an International Journal, 21(4), 753-759.

[13] Khaledi, Gh., Mirhosseini-Alizamini, S.M., Khaleghizadeh, S. (2022). “Sliding mode control design for a class of uncertain time-delay conic nonlinear systems”, Iranian Journal of Science and Technology, Transactions A: Science (46), 583-593.

[14] Kumar, D., Mija, S.J. (2022). “Design and performance evaluation of LQR and optimized sliding mode controllers for a class of under actuated nonlinear systems”, IFAC-PapersOnLine, 55(1), 579-585.

[15] Khalil, H.K. (1996). “Nonlinear system”, Prentice Hall, New Jersey.

[16] Lewis, F.L., Vrabie, D.L., Syrmos, V.L. (2012). “Optimal control”, Third edition, John Wiley & Sons, Inc., Hoboken, NJ.

[17] Liu, J., Wang, X. (2011). “Advanced sliding mode control for mechanical systems”, Springer.

[18] Mahmoodabadi, M.J., Hadipour-Lakmesari, S. (2021). “Adaptive sliding mode control of HIV-1 infection model”, Informatics in Medicine Unlocked, 25, 100703, DOI: 10.1016/j.imu.2021.100703.

[19] Mahmoodabadi, M.J., Soleymani, T. (2020). “Optimum fuzzy combination of robust decoupled sliding mode and adaptive feedback linearization controllers for uncertain under actuated nonlinear systems”, 64, 241-250.

[20] Mahmoodabadi, M.J., Taherkhorsandi, M., Talebipour, M. (2017). “Adaptive robust PID sliding control of a liquid level system based on multi-objective genetic algorithm optimization”, Control and Cybernetics Journal, 46(3), 227-246.

[21] Muljel, S.D., Nagarale, R.M. (2016). “LQR technique based second order sliding mode control for linear uncertain systems”, International Journal of Computer Applications, 137(7), 23-29.

[22] Nezhadhosein, S., Ghanbari, R., Ghorbani-Mogahdam, Kh. (2022).“A numerical solution for fractional linear quadratic optimal control problems via shifted Legendre polynomials”, International Journal of Applied and Computational Mathematics, 8(4), 1-28.

[23] Nezhadhosein, S., Heydari, A., Ghanbari, R. (2015). “A modified hybrid genetic algorithm for solving nonlinear optimal control problems”, Mathematical Problems in Engineering, Article ID: 139036, 21, DOI: 10.1155/2015/139036.

[24] Ngwako, M.T., Nyandoro, O.T. (2021). “Singular optimal control for a high precision linear DC machine haulage”, IFAC-PapersOnLine, 54(11), 25-30.

[25] Nizar, A., Nouri, A.S. (2012). “A new sliding surface for discrete second order sliding mode control of time delay systems”, Proceedings of the 9th International Multi-Conference on System, Signals and Devices, DOI: 10.1109/SSD.2012.6198049.

[26] Olfati, R. (2002). “Normal forms for under actuated mechanical systems with symmetry”, IEEE Transactions on Automatic Control, 47(2), 305-308.

[27] Ozcan, S., Copur, Eh., Arican, AC., Salamci, MU. (2020). “A modified SDRE-based sub-optimal hypersurface design in SMC”, IFAC-PapersOnLine, 53(2), 6250-6255.

[28] Plestan, F., Shtessel, Y. (2011). “New methodologies for adaptive sliding mode control”, International Journal of Control, Taylor & Francis, 83(9), 1907-1919.

[29] Plestan, F., Glumineau, A., Laghrouche, S. (2008). “A new algorithm for high order sliding mode control”, International Journal of Robust and Nonlinear Control, 18(4-5), 441-453.

[30] Ranjbar, E., Yaghubi, M., Suratgar, A.A.(2020).“Robust adaptive sliding mode control of a MEMS tunable capacitor based on dead-zone method”, AUTOMATIKA, 61(4), 587-601.

[31] Riouali, M., Lahid, F., Elbarrai, I., Namir, A. (2022). “Mathematical modeling of the spread of the COVID’19 with optimal control strategies”, Procedia Computer Science, 203, 481-485.

[32] Sanjeewa, D.A., Parnichkun, M.(2021).“Control of rotary double inverted pendulum system using QR sliding surface based sliding mode controller”, Journal of Control and Decision, 9(1), 89-101.

[33] Slotine, J.E., Li, W. (1991). “Applied nonlinear control”, Prentice Hall, New Jersey.

[34] Soon, C.C., Ghazali, R., Jaafar, H.I. (2017). “Sliding mode controller design with optimized PID sliding surface using particle swarm algorithm”, Procedia Computer Science, 105, 235-239.

[35] Vaseei, S., Zarrabi, M.R.(2020).“An adaptive Lyapunov-based controller for HIV treatment”, Control and Optimization in Applied Mathematics (COAM), 5(2), 1-10.

[36] Wang, J., Liu, L., Li, X. (2020). “Adaptive sliding mode control based on equivalence principle and its application to chaos control in a seven-dimensional power system”, Hindawi, Mathematical Problems in Engineering, Article ID 1565460, DOI: 10.1155/2020/1565460.

[37] Wang, X., Shi, L., Katupitiya, J., Astronautica, A. (2022). “Robust control of a dual-arm space robot for in-orbit screw-driving operation”, Acta Astronautica, 200, 139-148.

[38] Xu, R., Ozgunar, U. (2008). “Sliding mode control of a class of under actuated systems”, Automatica, 44(1), 233-248.

[39] Zhang, D., Cao, L., Tang, S. (2017). “Fractional-order sliding mode control for a class of uncertain nonlinear systems based on LQR”, International Journal of Advanced Robotic Systems, 1-15.