Modern Control Engineering
aa 210 Chapter 5 / Transient and Steady-State Response Analyses MATLAB Program 5–16 t = 0:0.05:3; A = [0 1;-10 -5]; B = [0;0]; C ...
aa Section 5–5 / Transient-Response Analysis with MATLAB 211 MATLAB Program 5–17 t = 0:0.05:10; A = [0 1 0;0 0 1;-10 -17 -8]; B ...
aa 212 Chapter 5 / Transient and Steady-State Response Analyses 5–6 Routh’s Stability Criterion The most important problem in li ...
aa Section 5–6 / Routh’s Stability Criterion 213 3.If all coefficients are positive, arrange the coefficients of the polynomial ...
aa 214 Chapter 5 / Transient and Steady-State Response Analyses and This process is continued until the nth row has been complet ...
aa Section 5–6 / Routh’s Stability Criterion 215 obtained from these. If any coefficients are missing, they may be replaced by z ...
aa 216 Chapter 5 / Transient and Steady-State Response Analyses If all the coefficients in any derived row are zero, it indicate ...
aa Section 5–6 / Routh’s Stability Criterion 217 These two pairs of roots of P(s)are a part of the roots of the original equatio ...
aa 218 Chapter 5 / Transient and Steady-State Response Analyses For stability,Kmust be positive, and all coefficients in the fir ...
aa Section 5–7 / Effects of Integral and Derivative Control Actions on System Performance 219 Proportional Control of Systems. W ...
aa 220 Chapter 5 / Transient and Steady-State Response Analyses Integral Control of Systems. Consider the system shown in Figure ...
aa Section 5–7 / Effects of Integral and Derivative Control Actions on System Performance 221 Hence The steady-state error due t ...
aa 222 Chapter 5 / Transient and Steady-State Response Analyses If this control system is stable—that is, if the roots of the ch ...
aa Section 5–7 / Effects of Integral and Derivative Control Actions on System Performance 223 + R(s) C(s) (a) (b) Kp^1 Js^2 ...
aa 224 Chapter 5 / Transient and Steady-State Response Analyses Consider the system shown in Figure 5–44(a). The closed-loop tra ...
aa Section 5–8 / Steady-State Errors in Unity-Feedback Control Systems 225 The effective damping coefficient of this system is t ...
aa 226 Chapter 5 / Transient and Steady-State Response Analyses Steady-State Errors. Consider the system shown in Figure 5–46. T ...
aa Section 5–8 / Steady-State Errors in Unity-Feedback Control Systems 227 For a type 0 system, For a type 1 or higher system, f ...
aa 228 Chapter 5 / Transient and Steady-State Response Analyses For a type 1 system, For a type 2 or higher system, forN 2 The ...
aa Section 5–8 / Steady-State Errors in Unity-Feedback Control Systems 229 is given by The static acceleration error constant Ka ...
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