Podcast
Questions and Answers
What happens if an unstable system's natural response grows without bound?
What happens if an unstable system's natural response grows without bound?
- It does not affect the system
- It remains constant
- It approaches a steady state value
- It can cause damage to the system, adjacent property, or human life (correct)
How is instability displayed in the time response plot of a physical system?
How is instability displayed in the time response plot of a physical system?
- By transients that grow without bound (correct)
- By the forced response only
- By a total response that approaches a steady state value
- By the natural response approaching zero
When is a linear, time-invariant system considered stable?
When is a linear, time-invariant system considered stable?
- If the natural response neither decays nor grows but remains constant or oscillates
- If the natural response grows without bound as time approaches infinity
- If every bounded input yields a bounded output
- If the natural response approaches zero as time approaches infinity (correct)
What does marginal stability imply about the natural response of a system?
What does marginal stability imply about the natural response of a system?
What is the alternate definition of stability for a system?
What is the alternate definition of stability for a system?
Why can we control the output of a system if the steady-state response consists of only the forced response?
Why can we control the output of a system if the steady-state response consists of only the forced response?
What condition makes a system unstable?
What condition makes a system unstable?
What kind of natural responses do poles in the left half-plane yield?
What kind of natural responses do poles in the left half-plane yield?
How does a system with poles in the right half-plane behave?
How does a system with poles in the right half-plane behave?
What kind of systems have closed-loop transfer functions with poles only in the left half-plane?
What kind of systems have closed-loop transfer functions with poles only in the left half-plane?
When is a system considered marginally stable?
When is a system considered marginally stable?
What is the Routh-Hurwitz criterion for stability used for?
What is the Routh-Hurwitz criterion for stability used for?
What is required as the first step in the Routh-Hurwitz criterion?
What is required as the first step in the Routh-Hurwitz criterion?
What kind of information does the Routh-Hurwitz criterion provide?
What kind of information does the Routh-Hurwitz criterion provide?
What type of system has poles of multiplicity greater than 1 on the imaginary axis?
What type of system has poles of multiplicity greater than 1 on the imaginary axis?
What happens when a system has imaginary axis poles of multiplicity greater than 1?
What happens when a system has imaginary axis poles of multiplicity greater than 1?
What does a pole of the input function determine?
What does a pole of the input function determine?
What is the significance of parameter 'a' in a first-order system?
What is the significance of parameter 'a' in a first-order system?
What does a pole on the real axis generate?
What does a pole on the real axis generate?
What does the time constant represent in a first-order system?
What does the time constant represent in a first-order system?
What is the function of a zero in a transfer function?
What is the function of a zero in a transfer function?
What determines the forced response in a first-order system?
What determines the forced response in a first-order system?
How is instability displayed in the time response plot of a physical system?
How is instability displayed in the time response plot of a physical system?
What type of system can be described by a first-order system without zeros?
What type of system can be described by a first-order system without zeros?
What happens when a system has poles in the right half-plane?
What happens when a system has poles in the right half-plane?
What kind of responses do poles in the left half-plane yield?
What kind of responses do poles in the left half-plane yield?
What is the output response of a system composed of?
What is the output response of a system composed of?
What do the poles of a transfer function represent?
What do the poles of a transfer function represent?
What are the zeros of a transfer function?
What are the zeros of a transfer function?
What technique enables the evaluation of the output response, but is laborious and time-consuming?
What technique enables the evaluation of the output response, but is laborious and time-consuming?
What is a fast and fundamental qualitative technique for the analysis and design of control systems by inspection?
What is a fast and fundamental qualitative technique for the analysis and design of control systems by inspection?
What are the steady-state and transient responses analyzed for in a subsystem?
What are the steady-state and transient responses analyzed for in a subsystem?