Which one of the following information is necessary to formulate the problem of control systems optimization?
For arbitrary pole placement, the following combination is necessary.
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For a linear time invariant system, an optimal controller can be designed if
The eigen values of linear system are the location of
If the system matrix of a linear time invariant continuous system is given by
Its characteristic equation will be given by
The state-variable description of a linear autonomous system is is a two-dimensional state vector and A is a matrix given by
The poles of the system are located at
Assertion (A): The eigen values of a linear continuous-data time invariant system controls the stability of the system.
Reason (R): The roots of the characteristic equation are the same as the eigen values of system matrix A of the state equations.
The vector matrix differential equation of a system is given by
The state transition matrix of the system is
The system matrix of a continous time system is given by:
The characteristic equation is
A system is described by the following equations:
The transfer function of the system is