Control Systems
State Variable Analysis
Deriving State Model
Questions mapped to Deriving State Model under State Variable Analysis.
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IncorrectThe state space representation of a first-order system is given as
y = x
where, x is the state variable, u is the control input and y is the controlled output. Let u =-Kx be the control law, where K is the controller gain. To place a closed-loop pole at -2, the value of K is _________.
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Sign in to UnlockThe transfer function of the system Y(s)/U(s) whose state-space equations are given below is
.
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Sign in to UnlockFor the system governed by the set of equations:
the transfer function Y(s)/U(s) is given by
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Sign in to UnlockThe state transition matrix for the system
is
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Sign in to UnlockA discrete system is represented by the difference equation
It has initial conditions. The pole locations of the system for a = 1, are
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Sign in to UnlockThe state equation for the current , shown in the network shown below in terms of the voltage , and the independent source V, is given by
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Sign in to UnlockFor a system with the transfer function, the matrix A in the state space from is equal to
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Sign in to UnlockThe following equation defines a separately excited dc motor in the form of a differential equation
The above equation may be organized in the state-space form as follows
Where the P matrix is given by
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Sign in to UnlockObtain a state variable representation of the system governed by the differential equation, with the choice of state variables as
.
Also find , given that u(t) is a unit step function and.
State variable representation
State variable representation
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Sign in to UnlockConsider the state equation
Given:
(a) Find a set of states and such that
(b) From , find the matrix A.
Data is insufficient to determine and
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Sign in to UnlockFor the network of Figure, obtain the state equation in terms of capacitor voltage,and inductor current .
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Sign in to UnlockThe matrix of any state-space equation for the transfer function of the system, shown below in figure is
[-1]
[3]
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