Document Type : Research Paper
Authors
1 Faculty of Electrical Engineering, K.N. Toosi University of Technology, Tehran, Iran.
2 Electrical and Electronic Engineering Department, Shahed university, Persian Gulf Highway
3 Department of Material, Mechanical and Manufacturing, University of Nottingham, UK
Abstract
This paper introduces a novel adaptive nonsingular fast terminal sliding mode approach that benefits from an interval type-2 fuzzy logic estimator and a gain for control and synchronization of chaotic systems in the presence of uncertainty. The nonsingular fast terminal sliding mode controller is developed to increase the convergence rate and remove the singularity problem of the system. Using the proposed method, the finite-time convergence has been ensured. To eliminate the chattering phenomenon in the conventional sliding mode controller, the discontinuous sign function is estimated using an interval type-2 fuzzy inference system (FIS) based on the center of sets type reduction followed by defuzzification. By adding the proportionate gain to the interval type-2 FIS, the robustness and speed of the controller system is enhanced. An appropriate Lyapunov function is utilized to ensure the closed-loop stability of the control system. The performance of the controller is evaluated for a nonlinear time-varying second-order magnetic space-craft chaotic system with different initial conditions in the presence of uncertainty. The simulation results show the efficacy of the proposed approach for the tracking control problems. The time and frequency domain analysis of the control signal demonstrates that the chattering phenomenon is successfully diminished.
Keywords
- Chaos
- Non-singular terminal sliding mode control
- Adaptive control
- interval type-2 fuzzy inference system
Main Subjects
prices for all types of committed reserve, Computational Economics, 53(1) (2019), 1-26.
Journal of Fuzzy Systems, 18(6) (2021), 133-150.
tions for nonlinear systems and application in chaotic systems, ICEE 2019 - 27th Iranian Conference on Electrical
Engineering, (2019), 1030-1034.
problem of uncertain dynamical systems, ISA Transactions, 77 (2018), 1-19.
of compressed air energy storage: A hybrid robust-stochastic approach, Renewable Energy, 143 (2019), 1-8.
via hybrid control, IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM, 1 (2009),
1365-1370.
(2002), 2159-2167.
to a class of chaotic systems, Nonlinear Dynamics, 100 (2020), 731-748.
Access, 7 (2019), 90922-90930.
Applied Soft Computing, 123 (2022), 108944.
neural network, Journal of Central South University, 29(1) (2022), 197-208.
control design for interval type-2 fuzzy systems, Discrete and Continuous Dynamical Systems, 15(7) (2022), 1839.
Iranian Journal of Fuzzy Systems, 18(6) (2021), 133-150.
using type-2 fuzzy neural networks with elliptic membership functions, IEEE Transactions on Cybernetics, 45(4)
(2015), 858-868.
defuzzi cation for interval type-2 fuzzy systems, 2016 IEEE International Conference on Fuzzy Systems, no. D,
(2016), 1224-1231.
voltage regulator using grasshopper optimization algorithm, Majlesi Journal of Electrical Engineering, 15(2) (2021),
39-45.
lite systems using feedback and adaptive control techniques, International Journal of Adaptive Control and Signal
Processing, 35(4) (2021), 484-497.
system using adaptive non-singular fast terminal sliding mode controller, Transactions of the Institute of Measurement
and Control, 44(14) (2022). DOI:10.1177/01423312221087578.
using fractionalorder manifold for secondorder chaotic systems, Asian Journal of Control, 26(3) (2021), 2653.
for hydrogen storage-based intelligent parking lot of electric vehicles, Journal of Energy Storage, 27 (2020), 101057.
Bioinformatics, 36(1) (2020), 272-279.
Iranian Journal of Fuzzy Systems, 16(2) (2019), 17-29.
system includes parabolic dish solar collector, Stirling engine and thermoelectric device, International Journal of
Energy Research, 45(11) (2021), 16436-16455.
on a sliding mode observer for a quadrotor subject to disturbances, Transactions of the Institute of Measurement
and Control, 42(2) (2020), 214-227.
algorithm and feature selection for wind signal prediction, Evolving Systems, 11(4) (2020), 559-573.
solar output in hybrid power system, Journal of Ambient Intelligence and Humanized Computing, 10(1) (2019),
77-87.
of the Franklin Institute, 351(4) (2014), 2356-2377.
Iranian Journal of Fuzzy Systems, 18(6) (2021), 133-150.
turbine power maximization, International Transactions on Electrical Energy Systems, 28(4) (2018), 1-22.
system, IEEE Access, 7(c) (2019), 42238-42246.
second-order systems, 10954 LNCS. Springer International Publishing, 2018.
International Journal of Electrical Power and Energy Systems, 117 (2020), 105608.
Transactions on Industrial Electronics, 62(6) (2015), 3906-3913.
sources/stationary and mobile energy storage systems, Renewable and Sustainable Energy Reviews, 148 (2021),
111295.
fading channels, ISA Transactions, 110(xxxx) (2021), 53-62.
Journal of Robust and Nonlinear Control, 21(16) (2011), 1865-1879.
networked control systems with actuator saturation, Nonlinear Dynamics, 95(2) (2019), 1415-1434.
)