192x Filetype PPTX File size 1.90 MB Source: courses.minia.edu.eg
Time Domain System Dynamic Response Time domain dynamic response (1) • Because time is used as an independent variable in most control systems, it is usually of interest to evaluate the state and output responses with respect to time or, simply, the time response. • In the analysis problem, a reference input signal is applied to a system, and the performance of the system is evaluated by studying the system response in the time domain. • Time response: is the response given by the system which is function of the time to applied excitation. Time domain dynamic response (2) The time response of a control system is usually divided into two parts: the transient response and the steady-state response. (t): transient response is defined as the part of the time response that goes to zero as time becomes very large. (t):The steady-state response is simply the part of the total response that remains after the transient has died out. (final accuracy of the system) All real, stable control systems exhibit transient phenomena to some extent before the steady state is reached Time domain dynamic response (3) • Steady state error: it is the difference between the desired output and actual output (reference input) at infinite time or at steady state. ess=lim t→∞ (r(t)-c(t)) Where : r(t) desired output c(t) Actual output Time domain dynamic response (4) Advantages of studying time dynamic response: - Classifying the response of some standard systems to standard inputs can provide an insight into more complicated systems. oEx system: first order – second order oEx inputs: unit- ramp- sinusoid - Time domain standard Characteristics of a standard dynamic response can be used for inferring system specifications. - Response to simple inputs can be used for system identification, i.e. for black box modeling.
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