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The paper considers the robust H2 state feedback control design for a class of linear uncertain systems with input quantization. The uncertainties are assumed to be time-varying, unknown, but bounded. The state feedback controller includes two parts. The first part, u1(t), whose gains updating automatically between the lower bounds and upper bounds of uncertain parameters, is obtained according to...
Fractional-order derivative spectroscopy has been developed to resolve the overlapped Lorentzian peak-signals. Resolutions are directly characterized by spectral parameters extracted from the overlapped peak-signals. For this purpose, using the Haar wavelet as a tool we design a fractional-order differentiator to develop the fractional-order derivative spectroscopy. As the application of the proposed...
Fractional-order systems, because of its long-memory nature. have been used increasingly to model natural phenomena. However, Computational difficulties of the fractional-order calculus have delayed application of fractional-order systems in engineering. For this purpose, after deriving the fractional-order integral matrix of the Haar wavelet we present a method for analysis of the fractional-order...
Using the Haar wavelets to expand the input signal and the output signal, then using the generalized Haar wavelet operational matrix of integration, we present a method to solve numerically the fractional Riccati differential equations. The results of the comparison with other methods indicate that the proposed method is simple and feasible.
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