How does the response of a nonminimum-phase system, such as the one in Figure 4.27, differ from a standard first-order response?
Explanation
A nonminimum-phase system, caused by a zero in the right half-plane, has a unique and often undesirable response characteristic: it initially moves away from its final value before reversing course. This is because the derivative component of its response is of opposite sign to the main response.
Other questions
The output response of a system is the sum of which two responses?
What are the values of the Laplace transform variable, s, that cause the transfer function to become infinite?
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A system has a transfer function G(s) = 50 / (s + 50). What is the settling time, Ts, for this system?
A second-order system response that is characterized by two real poles and a non-oscillatory step response is called what?
What is the natural frequency (omega_n) of a second-order system?
For a system with the transfer function G(s) = 36 / (s^2 + 4.2s + 36), what are the values of the natural frequency (omega_n) and the damping ratio (zeta)?
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For an underdamped second-order system, what is the definition of Peak Time (Tp)?
Given a system with the transfer function G(s) = 100 / (s^2 + 15s + 100), what is its percent overshoot (percent OS)?
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When can a system with more than two poles be approximated as a second-order system?
What is a system that initially responds in the opposite direction of its final value known as?
How does adding a zero to a two-pole system generally affect the percent overshoot of its step response?
In a state-space representation, what are the roots of the equation det(sI - A) = 0 called?
What is the state-transition matrix, Phi(t), in the time-domain solution of state equations?
The total response of a system solved using the time-domain state equation method is partitioned into which two components?
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For an underdamped second-order system with transfer function G(s) = omega_n^2 / (s^2 + 2*zeta*omega_n*s + omega_n^2), the peak time (Tp) is given by which formula?
What is the primary factor that determines the percent overshoot (percent OS) of an underdamped second-order system?
Consider the system with transfer function T(s) = 24.542 / (s^2 + 4s + 24.542). If a third pole is added at s = -3, how would the step response compare to the original second-order response?
Which physical nonlinearity is characterized by a system's inability to respond to small input signals, requiring the input to exceed a certain threshold before an output is produced?
What is the correct expression for the Laplace transform of the state vector, X(s), for a system with initial state x(0) and input U(s)?
A second-order system with a transfer function G(s) = 900 / (s^2 + 90s + 900) would be characterized as:
In the time-domain solution of state equations, the part of the response that depends only on the initial state vector x(0) is called the:
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Pole-zero cancellation is considered a valid approximation when:
What does a pole on the real axis of the s-plane generate in the time response?
What is the damped frequency of oscillation (omega_d) for a system with poles at s = -3 +/- j4?
For a rotational mechanical system, what physical parameters determine the damping ratio (zeta)?
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If two underdamped systems have poles with the same real part but different imaginary parts, what aspect of their step responses will be virtually the same?
A second-order system transfer function is T(s) = 225 / (s^2 + 30s + 225). What is the nature of its response?
The response of a system with a zero can be thought of as the sum of what two components?
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The eigenvalues of a system's A matrix are -10 and -2. The system is:
What is the primary characteristic of the transient response caused by backlash in a gear system?
To find the poles of a system represented in state space, one must find the roots of which equation?