Global Robust H-Infinity Control for Non-Minimum-Phase Uncertain Nonlinear Systems without Strict Triangular Structure
| Authors: | Zhao Shengzhi, Key Laboratory of Process Industry Automation, Ministry of Education, China
Zhao Jun, Key Laboratory of Process Industry Automation, Ministry of Education, China
Dimirovski Georgi M., Dogus University, Turkey |
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| Topic: | 3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.) |
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| Session: | Fuzzy Control: LMI Methods |
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| Keywords: | Nonlinear systems, H-infinity Control, L2-gain, state feedback, backstepping |
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Abstract
This paper deals with the robust H-infinity control problem for a class ofmulti-input non-minimum-phase nonlinear systems with parameter uncertainty. Asystem of this class is assumed to be in a special interlaced form, which includesa strict triangular form as a special case. By using an extension of backstepping,nonlinear static-state feedback controllers are designed such that the closed-loopsystem is input-to-state stable with respect to the disturbance input and has theprescribed L2-gain from the disturbance input to the controlled output for alladmissible parameter uncertainties.
