Module No. IV: Analysis and response of control system –hrs 08 IV.1) Open and closed loop systems, Transfer function modeling (Electrical only), Block diagram reduction techniques and Signal flow graph. IV.2) Dynamic Response: Standard test signals, transient and steady state behavior of first and second order systems, steady state errors in feedback control systems and their types.
Time response analysis of control system: It means to see the variation of output with respect to time The complete base of stability analysis, system accuracy & complete evaluation lies in the time response analysis Time response analysis : Steady state analysis Transients response
Definitions:- Time response: the response given by the system which is function of time, to the applied Input is called time response of control system Transient Response: the output variation during the time, it takes to achieve its final value is called as Transient Response. The time required to achieve the final value is called transient period This can also be defined as that part of time response which decays to zero after some time as system output reaches to its final value. The Transient Response may be exponential or oscillatory in nature
Steady state response: It is that part of time response which remains after complete transient response vanishes from the system output . It is also be define as response of the system as time approaches infinity from the time at which Transient Response completely dies out . The Steady state response indicates the accuracy of the system.
The difference between the desired output and the actual output of the system is called steady state error which is denoted as ess
Standard Test Inputs
Laplace transform of test inputs
Effect of change in G(s)H(s) on steady state error (type of system)