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Applications of Impulse Analysis to Control Problems
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accuracy approximation autocorrelation function calculation central difference closed form coefficients Consider the system control system convolution convolution integral corresponding curve ddddd ddddd ddddd deconvolution derivative digital computer Duhamel integral evaluate exact sequence exact solution Example 2.4 frequency response given I I I I I impulse analysis impulse response input and output integrating operators intermediate area sequence intermediate sequences intermediate value sequence Laplace transform linear interpolation linear system matrix notation maximum error nonlinear element O O O O O obtain ooooo percent plot polynomial presented in Sec Problem procedure ramp round-off errors rS(A S(Gmx S(Gnx Sa(F sample interval sequence notation sequence of impulses sequence S(B shown in Fig Simpson's rule solved step response SV(F System identification system response system shown Table tabular algorithm tabulation transfer function trapezoidal integration trapezoidal rule truncation error tu(t unit functions yields z-transform