Podcast
Questions and Answers
What is the general form of the state-space model?
What is the general form of the state-space model?
- x(t) = f(x(t), v(t), t) and y(t) = g(x(t), v(t), t) (correct)
- x(t) = Aẋ(t) + Bv(t) and y(t) = Cx(t) + Dv(t)
- ẋ(t) = Ax(t) + Bv(t) and y(t) = Cx(t) + Dv(t)
- x(t) = f(ẋ(t), v(t), t) and y(t) = g(ẋ(t), v(t), t)
What does the system matrix A represent in the state-space equations?
What does the system matrix A represent in the state-space equations?
- The system inputs
- The time-domain analysis
- The order of the differential equation
- The dynamics of the state variables (correct)
When constructing state equations from a differential equation, what should the dimension of the state equations be equal to?
When constructing state equations from a differential equation, what should the dimension of the state equations be equal to?
- The order of the differential equation (correct)
- The output matrix C
- Twice the order of the differential equation
- Half the order of the differential equation
In terms of time invariance, what type of system is represented by constant A, B, C, D matrices?
In terms of time invariance, what type of system is represented by constant A, B, C, D matrices?
What concept does the time-domain analysis and design of control systems utilize?
What concept does the time-domain analysis and design of control systems utilize?
In the state-space model, which matrix represents the input to the system?
In the state-space model, which matrix represents the input to the system?
What does the output matrix, C, represent in the state-space equations?
What does the output matrix, C, represent in the state-space equations?
When constructing state equations from a differential equation, what should the dimension of the state equations be equal to?
When constructing state equations from a differential equation, what should the dimension of the state equations be equal to?
What concept is utilized in the time-domain analysis and design of control systems?
What concept is utilized in the time-domain analysis and design of control systems?
If A, B, C, and D are constant over time, what type of system is represented?
If A, B, C, and D are constant over time, what type of system is represented?
In the state-space model, what is represented by the matrix B(t)?
In the state-space model, what is represented by the matrix B(t)?
What is the role of the matrix D in the state-space model?
What is the role of the matrix D in the state-space model?
What does the state variable technique primarily focus on in a linear system?
What does the state variable technique primarily focus on in a linear system?
What is the primary function of the transition matrix in a state-space model?
What is the primary function of the transition matrix in a state-space model?
Which vector does the matrix C(t) represent in a state-space model?
Which vector does the matrix C(t) represent in a state-space model?
