Direct Adaptive H∞ Control for a Class of Nonlinear Systems based on LS-SVM

Abstract

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.

Effect of hydroxyl on dye-sensitized solar cells assembled with TiO 2 nanorods

“…The electrons are then injected into the porous TiO2 photoelectrode and propagate through it until they are collected and transferred to the external electric circuit. The electron transport, recombination and collection processes are three very important processes in DSSC and have been extensive studied [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] . In order to improve the conversion efficiency, the charge recombination possibility must be reduced.…”

On topological indices of carbon nanocones and nanotori

“…Long computation is required to compute topological indices, and in order to simplify the computation of the degree indices, which form a subclass of degree-based topological indices of utmost importance: in Loghman et al, [19] computing two types of geometric-arithmetic indices of some benzenoid graphs, in Kulli, [20] multiplicative connectivity indices of Nanostructures, in Kulli, [21] F-indices of chemical networks, in Zhao et al, [22] redefined Zagreb indices of some nanostructures, in Gao et al, [23] the redefined first, second, and third Zagreb indices of titania nanotubes TiO 2 [m,n], in Gao et al, [24] on the first and second Zagreb and first and second hyper-Zagreb indices of carbon nanocones CNC k [n], in Mehdipour et al, [25] computing eccentric connectivity index of nanostar dendrimers and in Imran, [26] on topological properties of nanocones CNC k [n].…”