deck_15807719 (1) Flashcards
The stability of a continuous or discrete time system is determined by its response to…?
input
which of the following must be done first in order to convert a transfer function in a state equations in phase variable form
convert the transfer function into a differential equation
it refers modern, or time- domain, approach
state space approach
in a canonical form of feedback control system shown in the figure , E/R is the____?
error ratio
the output response is____
the sum of forced response and natural response
what type of second order response is described by the graph shown in the figure
c(t)=1-cos3t
undamped
identify the zeros of the transfer function 5s+5/(s^2-6s)
S=-1
what do you call to any variable that responds to an initial condition in a system
system variable
in a canonical form of feedback control system shown in the figure, C/R is the ____
control ratio
what do you call to a vector whose elements are the state variables?
state vector
the reciprocal of time constant is___
frequency
identify the zeros of the transfer function s+3/(s=2)(s+5)
S=-3
what type of second order response is described by the graph shown in the figure
C(t)= 1-3te^3t-e^3t
critically damped
Given a transfer function shown and its equivalent state space representation. what are the missing values in matrix A
in equation 20 /s^3+5s^2+4s+3
[-3,-4,-5]
what type of second order response is described by the graph shown in the figure
c(t)=1+0.171e^-7.854t - 1.17e^-1.146t
overdamped
what type of second order response is described by the graph shown in the figure
c(t)=1-e^t(cos squareroot8t + squarerootof8/8 sin squareroot8t) =1-1.06e^-t cos(squareroot8t-19.47degree)
underdamped
the forced response is also called
particular solution
modelling systems by using linear, time invariant differential equations and subsequent transfer functions became inadequate with the arrival of space exploration, because requirements for control systems increased in scope.
True or False
true
using the sfg below. Find x4/x1
abc+d
in the equation C/R=1+- GH, what does the negative sign means?
positive feedback
the signal flow graph and block diagram of a systems provides the same information.
true or false
true
what do you call the part of the total response which approaches zero as time approaches infinity
steady state response
in signal flow graph, what do you call to the transmission function represented by a line with an arrow?
branch
if the system is stable for a certain range of system component values, then it is known as what?
conditionally stable
what do you call to any variable that responds to an initial condition in a system ?
system variable
what do you call to a vector whose elements are the state variables
state vector
what is the routh table of the given system (s^3+6s^2+10s+10) determine if it is stable or unstable.
stable
s3- 1,6,10
s2-6,10,0
s1-10,0
s0-10
if the system for all the range of system component values, then it is known as what?
absolutely stable
Given a transfer function shown and its equivalent state space representation. choose the correct values that can be put in a matrix A
H(s)= s+7/ s^4+5s^3+4s^2+4s+6
[-6,-4,-4,-5] or [1,7,0,0]
it refers to modern, or time domain approach
state-space approach
it is a unified method for modeling, analyzing, and designing a wide range of systems
state-space approach
