The parameters of the step response of the standard 2

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The parameters of the step response of the standard 2 nd –order system can also be related to the pole locations of the transfer function. DR CHONG 22 2 2 2 2 ) ( n n n s s s G ω ςω ω + + = 2 1,2 1 n n s ςω ω ς = ± Location of poles: Time Response and Pole Location DR CHONG 23 cos n n ςω α ς ω = = 2 1 1 1 tan cos ς α ς ς = = Decreasing the angle α reduces the percent overshoot. Hence, specifying the %OS to be less than a particular value restricts the pole locations to the region of the s-plane (Fig. c) The radial distance from the origin to the pole is natural frequency, ω n Summary & Exercises § Today topic § 3.1 Poles, zeros and system response § 3.2 First-order and second-order system § 3.3 System response with additional pole and zero § Next Chapter 3.4 Steady-state error § 3.4.1 Introduction § 3.4.2 Steady-state error for unity feedback § 3.4.3 Static error constant and system type § Exercise § Tutorial 3.1 and problems in Revision Book DR CHONG 24
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  • Spring '19
  • Dr.Saifulza
  • Dr Chong

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