A Discrete-time Approach for System Analysis |
Contents
Preface | 1 |
Approximate Solution of Differential Equations | 81 |
Accuracy Considerations | 106 |
Copyright | |
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a₁ accuracy approximation autocorrelation function b₁ B₂ Boxer-Thaler C₁ calculation Consider the system control system convolution cross-correlation curve deconvolution determine differential equation digital computer Error amplitude Error characteristics evaluate exact solution EXAMPLE Frequency characteristics frequency response function f(t given grators H(jw impulse analysis impulse response increment integrating operators interpolation interval k₁ k₂ Laplace transform linear system Madwed 23 measured step response nonlinear element obtain PA(z percent plot polynomial Problem random variables round-off errors S(Gmx S(Gmy S(Gnx S(Gxx S(Gyx S(Gyy S(m₂ S(n₁ S(n₂ S(x₁ S(yk sample sequence notation sequence S(B shown in Fig step response system identification system response system shown T₁ Table tabular algorithm tabulation technique term transfer function trapezoidal integration trapezoidal rule truncation error Tsypkin's method tu(t Tustin 45 X₁ y₁ yields z-transform Halijak 16 Z₁ Σι ΧΩ ωτ