Fractional Super-Twisting/Terminal Sliding Mode Protocol for Nonlinear Dynamical Model: Applications on Hovercraft/Chaotic Systems

Reza Ghasemi , Farideh Shahbazi , Mahmood Mahmoodi

Journal of Marine Science and Application ›› 2023, Vol. 22 ›› Issue (3) : 556 -564.

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Journal of Marine Science and Application ›› 2023, Vol. 22 ›› Issue (3) : 556 -564. DOI: 10.1007/s11804-023-00329-7
Research Article

Fractional Super-Twisting/Terminal Sliding Mode Protocol for Nonlinear Dynamical Model: Applications on Hovercraft/Chaotic Systems

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Abstract

Fractional terminal and super-twisting as two types of fractional sliding mode controller are addressed in the present paper. The proposed methodologies are planned for both the nonlinear fractional-order chaotic systems and the nonlinear factional model of Hovercraft. The suggested procedure guarantees the asymptotic stability of fractional-order chaotic systems based on Lyapunov stability theorem, by presenting a set of fractional-order laws. Compared to the previous studies that concentrate on sliding mode controllers with unwanted chattering phenomena, the proposed methodologies deal with chattering reduction of terminal sliding mode controller/super twisting to converge to desired value in finite time, consequently. The main advantages of the offered controllers are 1) closed-loop system stability, 2) robustness against external disturbances and uncertainties, 3) finite time zero-convergence of the output tracking error, and 4) chattering phenomena reduction. Finally, the simulation results show the performance of the approaches both on the chaotic and Hovercraft models.

Keywords

Fractional-order system / Super-twisting algorithm / Terminal methodology / Sliding mode control / Stability / Nonlinear system / Hovercraft

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Reza Ghasemi, Farideh Shahbazi, Mahmood Mahmoodi. Fractional Super-Twisting/Terminal Sliding Mode Protocol for Nonlinear Dynamical Model: Applications on Hovercraft/Chaotic Systems. Journal of Marine Science and Application, 2023, 22(3): 556-564 DOI:10.1007/s11804-023-00329-7

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References

[1]

Aghababa MP. Design of a chatter-free terminal sliding mode controller for nonlinear fractional-order dynamical systems. International Journal of Control, 2013, 86(10): 1744-1756

[2]

Alipour M, Malekzadeh M, Ariaei A. Practical fractional-order nonsingular terminal sliding mode control of spacecraft. ISA Transactions, 2022, 128(4): 162-173

[3]

Aslam MS, Raja MAZ. A new adaptive strategy to improve online secondary path modeling in active noise control systems using fractional. Signal Processing Approach, 2015, 107: 433-443

[4]

Cabecinhas D, Batista P, Oliveira P, Silvestre C. Hovercraft control with dynamic parameters identification. IEEE Transactions on Control Systems Technology, 2017, 26(3): 785-796

[5]

Couceiro MS, Ferreira NF, Machado JT. Application of fractional algorithms in the control of a robotic bird. Communications in Nonlinear Science and Numerical Simulation, 2010, 15(4): 1-11

[6]

Djeghali N, Bettaye M, Djennoune S. Sliding mode active disturbance rejection control for uncertain nonlinear fractional-order systems. European Journal of Control, 2021, 57(1): 54-67

[7]

Hu R, Deng H, Zhang Y. Novel dynamic-sliding-mode-manifold-based continuous fractional-order nonsingular terminal sliding mode control for a class of second-order nonlinear systems. IEEE Access, 2020, 8: 20-29

[8]

Jeong S, Chwa D. Coupled multiple sliding-mode control for robust trajectory tracking of hovercraft with external disturbances. IEEE Trans Ind Electron, 2017, 65(5): 4103-4113

[9]

Karami H, Ghasemi R. Fixed time terminal sliding mode trajectory tracking design for a class of nonlinear dynamical model of air cushion vehicle. SN Applied Sciences, 2020, 2: 98

[10]

Levantovsky LV, Levant A. High order sliding modes and their application for controlling uncertain processes. Moscow: Institute for System Studies of the USSR Academy of Science, 1987, 18: 381-384

[11]

Li R, Zhang X. Adaptive sliding mode observer design for a class of T–S fuzzy descriptor fractional order systems. IEEE Transactions on Fuzzy Systems, 2022, 28(9): 1951-1960

[12]

Li Y, Chen YQ, Podlubny I. Mittag-Leffler stability of fractional-order non-linear dynamic systems. Automatica, 2009, 45(8): 1965-1969

[13]

Lorenz EN. Deterministic non-periodic flow. Journal of the Atmospheric Sciences, 1963, 20: 130-141

[14]

Magin RL (2006) Fractional calculus in bioengineering. Begell House Redding

[15]

Modiri A, Mobayen S. Adaptive terminal sliding mode control scheme for synchronization of fractional-order uncertain chaotic systems. ISA Transactions, 2020, 105(1): 33-50

[16]

Munoz E, Gaviria C, Vivas A (2007) Terminal sliding mode control for a SCARAR robot. International Conference on Control, Instrumentation and Mechatronics Engineering, Johor Bahru, Johor, Malaysia

[17]

Ott E, Grebogi C, Yorke J. Controlling chaos. Physical Review Letter, 1990, 64(11): 1196-1199

[18]

Petras I. Fractional-order nonlinear systems-modeling, analysis, and simulation, 2010, Berlin: Spring-Verlag

[19]

Podlubny I (1998) Fractional differential equations: An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Academic Press, 198

[20]

Rabah K, Ladaci S, Lashab M. A novel fractional sliding mode control configuration for synchronizing disturbed fractional-order chaotic systems. Pramana - J Phys, 2017, 89(46): 1443-1447

[21]

Rook S, Ghasemi R. Fuzzy fractional sliding mode observer design for a class of nonlinear dynamics of the cancer disease. International Journal of Automation and Control, 2018, 12(1): 62-77

[22]

Shahbazi F, Ghasemi R, Mahmoodi M. Fractional nonsingular terminal sliding mode controller design for the special class of nonlinear fractional-order chaotic systems. International Journal of Smart Electrical Engineering, 2021, 11(2): 83-88

[23]

Sharafian A, Ghasemi R. A novel terminal sliding mode observer with RBF neural network for a class of nonlinear systems. International Journal of Systems, Control and Communications, 2019, 9(4): 369-385

[24]

Sharafian A, Ghasemi R. Fractional neural observer design for a class of nonlinear fractional chaotic systems. Neural Computing and Applications, 2019, 31(4): 1201-1213

[25]

Sira-Ramírez H. Dynamic second-order sliding mode control of the hovercraft vessel. IEEE Transactions on Control Systems Technology, 2002, 10(6): 860-865

[26]

Song S, Zhang B, Xia J, Zhang Z. Adaptive back stepping hybrid fuzzy sliding mode control for uncertain fractional-order nonlinear systems based on finite-time scheme. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018, 20(4): 1559-1569

[27]

Tavazoei MS, Haeri M, Jafari S, Bolouki S, Siami M. Some applications of fractional calculus in suppression of chaotic oscillations. IEEE Transactions on Industrial Electronics, 2008, 55(11): 4094-4101

[28]

Utkin V. Sliding mode in control and optimization, 1992, Berlin: Springer Verlag

[29]

Wang N, Gao Y, Zhang X. Data-driven performance-prescribed reinforcement learning control of an unmanned surface vehicle. IEEE Transactions on Neural Networks and Learning Systems, 2021, 32(12): 5456-5467

[30]

Wang N, Su SF. Finite-time unknown observer-based interactive trajectory tracking control of asymmetric under actuated surface vehicles. IEEE Transactions on Control Systems Technology, 2019, 29(2): 794-803

[31]

Xu H, Fossen TI, Guedes Soares C. Uniformly semiglobally exponential stability of vector field guidance law and autopilot for path-following. European Journal of Control, 2020, 53(1): 88-97

[32]

Xu H, Oliveira P, Guedes Soares C. L1 adaptive back stepping control for path-following of under actuated marine surface ships. European Journal of Control, 2021, 58(1): 357-372

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