Extending Lyapunov redesign method for robust stabilization of non-affine quadratic polynomial systems

• Autorzy: Binazadeh T. , Rahgoshay M.
• Języki publikacji: EN

Abstrakty

EN

The Lyapunov redesign method is basically used for robust stabilization of nonlinear systems with an affine structure. In this paper, for the first time, by suggestion of a simple but effective idea, this approach is developed for robust stabilization of non-affine quadratic polynomial systems in the presence of uncertainties and external disturbances. In the proposed method, according to the upper bound of an uncertain term, a quadratic polynomial is constructed and with respect to the position of the roots of this polynomial, the additional feedback law is designed for robustness of the quadratic polynomial system. The proposed technique is also used for robust stabilizing of a magnetic ball levitation system. When the coil current is the control input of the magnetic ball levitation system, equations of this system are increasingly nonlinear with respect to control input and have quadratic polynomial structure. The effectiveness of the proposed control law is also demonstrated through computer simulations.

Słowa kluczowe

EN

Lyapunov redesign; non-affine; quadratic polynomial systems; magnetic ball levitation system

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2016
• Tom: Vol. 45, no. 3
• Strony: 373--384
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Binazadeh T.

• Department of Electrical and Electronic Engineering, Shiraz University of Technology, Modares Blvd., Shiraz, P.O. Box 71555/313, Iran

autor

Rahgoshay M.

• Department of Electrical and Electronic Engineering, Shiraz University of Technology, Modares Blvd., Shiraz, P.O. Box 71555/313, Iran

Bibliografia

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• [15] Wang, Z.-W., Chen, X., and Huang, Y.-S. (2013) Decentralised direct adaptive fuzzy control for a class of large-scale nonaffine nonlinear systems and application to ahs. International Journal of Systems Science, 44(2):321– 328.
• [16] Yang, X., Liu, D., Wei, Q., and Wang, D. (2015) Direct adaptive control for a class of discrete-time unknown nonaffine nonlinear systems using neural networks. International Journal of Robust and Nonlinear Control, 25(12):1844–1861.
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).