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BUILT-IN MATHEMATICA SYMBOL
EstimatorRegulator[ssm, {l, 
}]
constructs the feedback regulator for the StateSpaceModel ssm with estimator and feedback gain matrices l and 
, respectively.
EstimatorRegulator[{ssm, sensors}, {l, }]
uses only sensors as the measured outputs of ssm.
EstimatorRegulator[{ssm, sensors, finputs}, {l, }]
specifies finputs as the feedback inputs of ssm.
EstimatorRegulator[{ssm, sensors, finputs, einputs}, {l, }]
specifies einputs as the exogenous deterministic inputs.
Details and Options
- The standard state-space model ssm can be given as StateSpaceModel[{a, b, c, d}], where a, b, c, and d represent the state, input, output, and transmission matrices in either a continuous-time or a discrete-time system:
-
continuous-time system 
discrete-time system - The descriptor state-space model ssm can be given as StateSpaceModel[{a, b, c, d, e}] in either continuous time or discrete time:
-
continuous-time system 
discrete-time system - The input
can include stochastic inputs 
, feedback inputs 
, and exogenous deterministic inputs 
. - The arguments finputs and einputs are lists of integers specifying the positions of
and 
in 
. - The output
consists of the noisy measurements 
as well as other outputs. - The argument sensors is a list of integers specifying the positions of
in 
. - EstimatorRegulator[ssm, {...}] is equivalent to EstimatorRegulator[{ssm, All, All, None}, {...}].
- The estimator gains l can be computed using EstimatorGains, LQEstimatorGains, or DiscreteLQEstimatorGains.
- The feedback gains
can be computed using StateFeedbackGains, LQRegulatorGains, or DiscreteLQRegulatorGains. - Block diagram of the system with its regulator:
Examplesopen all
Basic Examples (1)
Construct a state-feedback regulator from known estimator and state-feedback gains:
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New in 8 | Last modified in 9
