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BUILT-IN MATHEMATICA SYMBOL
StateFeedbackGains[ssm, {p1, p2, ..., pn}]
gives the state feedback gain matrix for the state-space model ssm, such that the poles of the closed-loop system are 
.
StateFeedbackGains[{ssm, {in1, ...}}, ...]
specifies control inputs 
to use.
Details and Options
- StateFeedbackGains is also known as pole placement gains.
- The state-space model ssm can be given as StateSpaceModel[{a, b, ...}], where a and b represent the state and input matrices in either a continuous-time or a discrete-time system:
-
continuous-time system 
discrete-time system - If ssm is controllable, the eigenvalues of
will be 
, where 
is the computed state feedback gain matrix. - For a descriptor system StateSpaceModel[{a, b, c, d, e}] the number of poles that can be specified is determined by the rank of e and the controllability of the system.
- StateFeedbackGains[{ssm, {in1, ...}}, ...] is equivalent to StateFeedbackGains[ssm1, ...], where ssm1=SystemsModelExtract[ssm, {in1, ...}].
- StateFeedbackGains accepts a Method option with settings given by:
-
Automatic automatic method selection "Ackermann" Ackermann method "KNVD" Kautsky-Nichols-Van Dooren method
New in 8 | Last modified in 9
