Design of Fractional Order Sliding Mode Controller Based on Parameters Tuning

• Autorzy: Zhang B. , Pi Y.

Warianty tytułu

PL

Projekt sterownika ślizgowego ułamkowego rzędu bazujący na dobieraniu parametrów<

• Języki publikacji: EN

Abstrakty

EN

For dealing with the chattering phenomenon existing in conventional first order sliding mode controller, in this paper, a fractional order sliding mode controller (FOSMC) is proposed. Based on the advantage of fractional order differential and integral calculus, the sliding mode surface is designed with fractional order differential but not integral order. Under the stable performance of system, the parameters of sliding mode surface are tuned by given crossover frequency and phase margin. Furthermore, the soft-switching gain is obtained used fuzzy logic inference system. Simulations and experiments demonstrate that the proposed fractional order sliding mode controller not only achieve high control performance, but also is robust with regard to external disturbance.

PL

W artykule zaproponowano ułamkowy sterownik ślizgowy FOSMC. Przy ustalonych parametrach systemu powierzchnia ślizgowa jest dobierana przez uwzględnianie częstotliwości i marginesu fazy. Przełączane wzmocnienie jest realizowane po zastosowaniu układu logiki rozmytej. Układ jest bardziej odporny na zewnętrzne zakłócenia. (Projekt sterownika ślizgowego ułamkowego rzędu bazujący na dobieraniu parametrów)

Słowa kluczowe

EN

fractional order; sliding mode control; chattering; parameter tuning

PL

sterowanie ślizgowe; rząd ułamkowy

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2012
• Tom: R. 88, nr 10a
• Strony: 172--175
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Zhang B.

autor

Pi Y.

• Colleague of Automation Science and Engineering, South China University of Technology, Guangzhou, P.R. China,

Bibliografia

• [1] L. Fridman, "Singularly perturbed analysis of chattering in relay control systems," IEEE Trans. Autom. Control, 47(2002),no.12,pp. 2079–2084.
• [2] Baik, I. C., Kim, K. H. & Youn, M. J. "Robust nonlinear speed control of PM synchronous motor using boundary layer integral sliding mode control technique". IEEE Transactions on Control Systems Technology.33(2000),no.8,pp. 47-54.
• [3] Bondarev, A. G., Bondarev, S. A., Kostylyeva, N. Y., & Utkin, V. I..Sliding modes in systems with asymptotic state observers. Automatica i telemechanica (Automation and Remote Control).46(1985),no.5, 679–684.
• [4] Giorgio Bartolini, Alessandro Pisano, Elio Usai."On the secondorder sliding mode control of nonlinear systems with uncertain control direction". Automatica.45(2009).no. 3,pp. 2982-2985.
• [5] I. Boikoa, L. Fridmanb, R. Iriarteb,A. Pisanoc, E. Usai. Parameter tuning of second-order sliding mode controllers for linear plants with dynamic actuators. Automatica. 42(2006),no.33, pp. 833 – 839.
• [6] A.R. Ghafari-Kashani J. Faiz M.J. Yazdanpanah. "Integration of non-linear H∞and sliding mode control techniques for motion control of a permanent magnet synchronous motor," IET Electr. Power, 4(2010),no.4,pp. 267– 280.
• [7] S.H. Chang P.Y. Chen Y.H. Ting S.W. Hung, "Robust current control-based sliding mode control with simple uncertainties estimation in permanent magnet synchronous motor drive systems," IET Electr. Power, 4(2010),no.6,pp. 441– 450.
• [8] Gilbert Foo, M. F. Rahman,"Sensorless Sliding-Mode MTPA Control of an IPM Synchronous Motor Drive Using a Sliding-Mode Observer and HF Signal Injection," IEEE Trans. Ind.Electron, 57 (2010),no.4,pp. 33-43.
• [9] HongSheng Li, Ying Luo, and YangQuan Chen,A Fractional Order Proportional and Derivative (FOPD) Motion Controller: Tuning Rule and Experiments ,IEEE Transactions on Control Systems Technology, 18(2010), no. 2, 516-520.
• [10] Ying Luo, YangQuanChen, Hyo-SungAhn, YouGuoPi, Fractional order robust control for cogging effect compensation in PMSM position servo systems: Stability analysis and experiments, Control Engineering Practice, 18(2010),no.2, 1022–1036.
• [11] Ching-Hung Lee, Fu-Kai Chang,Fractional-order PID controller optimization via improved electromagnetism-like algorithm, Expert Systems with Applications, 37(2010), 8871–8878.
• [12] Concepcio A. Monjea, Blas M. Vinagreb, Vicente Feliuc, YangQuan Chen,Tuning and auto-tuning of fractional order controllers for industry applications Control Engineering Practice, 16(2008), 798–812,.
• [13] I. Podlubny, Fractional Differential Equations, Academic Press, NewYork, 1999.