This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

EstimatorRegulator

 EstimatorRegulator constructs the feedback regulator for the StateSpaceModel object ss with estimator and feedback gain matrices l and , respectively. EstimatorRegulatoruses only sensors as the measured outputs of ss. EstimatorRegulatorspecifies finputs as the feedback inputs of ss. EstimatorRegulatorspecifies einputs as the exogenous deterministic inputs.
• The state-space model ss can be given as StateSpaceModel, 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 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 .
• Block diagram of the system with its regulator:
Construct a state-feedback regulator from known estimator and state-feedback gains:
Construct a state-feedback regulator from known estimator and state-feedback gains:
 Out[1]=
 Scope   (3)
The regulator for a SISO system with estimator gain and regulator gain :
Its transfer function:
The closed-loop system:
A state-feedback regulator for a system with two sensor outputs, one feedback input, one exogenous deterministic input, and one stochastic input:
An observer-based optimal regulator for a deterministic continuous-time system:
The transfer function of the estimator-regulator:
 Applications   (3)
A state-feedback regulator for the discrete-time model of a satellite's attitude control system:
A regulator for a simple pendulum:
An LQ regulator for a SISO system:
The closed-loop poles are the poles of the state-feedback and estimator subsystems:
Construct an LQG regulator using optimal estimator gains and state-feedback gains:
LQGRegulator gives the same result:
New in 8