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Direct Adaptive H∞ Control for a Class of Nonlinear Systems based on LS-SVM |
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PP: 287-292 |
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Author(s) |
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Dan-Dan Zhao,
Chun-Li Xie,
Pei-Chang Wang,
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Abstract |
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A scheme of direct adaptive H∞ control based on least squares support vector machines (LS-SVM) is proposed for a class
of nonlinear uncertain systems. In this method, LS-SVM is employed to construct the adaptive controller, and an on-line learning rule
for the weighting vector and bias is derived. A parameter selection method based on the genetic algorithm (GA) is given for LS-SVM
regression with Gauss kernel. H∞ control is used to attenuate the effect on the tracking error caused by LS-SVM approximation errors
and external disturbances. Lyapunov theory is used to prove the uniformly ultimately bounded stability of the close-loop system. The
simulation result shows the effectiveness and feasibility of the proposed method. |
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