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A Modified Robust Adaptive Super-twisting Sliding Mode Controller for Grid-connected Converters
Guilherme Vieira Hollweg,Wencong Su,Paulo Jefferson Dias de Oliveira Evald,Rodrigo Varella Tambara,Hilton Abílio Gründling 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.10
This work introduces the application of a new adaptive control structure, which is a modification of the robust model reference adaptive controller (RMRAC) and adaptive super-twisting sliding mode (ASTSM). This controller was previously proposed in the literature and applied to the current control of a grid-connected converter under uncertain grid environments. However, its STSM structure used the tracking error signal function as a sliding surface, which tends to impose considerable chattering in the system. The proposed controller maintains the characteristics of the known structure but replaces the signal function in the STSM equations with a sigmoid function, reducing the current tracking error and improving the system regulation since it is smoother. As the control structure lies in RMRAC theory and some core equations change, stability analysis of the adaptation algorithm is also carried out. Experimental results in a 7.5 kW converter are presented in which the known RMRAC-ASTSM controller presents 2.45% total harmonic distortion while the modified adaptive structure obtains 2.22% total harmonic distortion and better regulation performance.
Discrete-time Analysis of a Robust Model Reference Adaptive Sliding Mode Control
Deise Maria Cirolini Milbradt,Guilherme Vieira Hollweg,Hilton Abílio Gründling,Paulo Jefferson Dias de Oliveira Evald 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.5
In real-world applications, plants with parametric variations and unmodelled dynamics are very common, and, in most cases, fixed-gain controllers can not ensure global stability and hardly have high performance for large system variations. To overcome this challenge, this paper presents a Robust Model Reference Adaptive Sliding Mode Control, whose structure combines a Robust Model Reference Adaptive controller (RMRAC) and an adaptive first-order Sliding Mode controller (SMC). Its discrete-time robustness analysis and stability proofs by means of Lyapunov theory are provided. The mathematical analyses show that this hybrid adaptive controller is robust to parametric variations and unmodelled plant dynamics. Besides, it ensures that tracking error tends to a residual set in steady state, maintaining global stability. Simulation results are presented to show the controller effectiveness applied in a non-minimum phase unstable plant with unmodelled dynamics. Furthermore, a comparison with a Proportional-Resonant controller is also provided.