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State-Space Control Design

LQG/LQR and pole-placement algorithms

State-space control design methods, such as LQG/LQR and pole-placement algorithms, are useful for MIMO design.

Functions

lqr Linear-Quadratic Regulator (LQR) design
lqry Form linear-quadratic (LQ) state-feedback regulator with output weighting
lqi Linear-Quadratic-Integral control
dlqr Linear-quadratic (LQ) state-feedback regulator for discrete-time state-space system
lqrd Design discrete linear-quadratic (LQ) regulator for continuous plant
lqg Linear-Quadratic-Gaussian (LQG) design
lqgreg Form linear-quadratic-Gaussian (LQG) regulator
lqgtrack Form Linear-Quadratic-Gaussian (LQG) servo controller
augstate Append state vector to output vector
norm Norm of linear model
estim Form state estimator given estimator gain
place Pole placement design
reg Form regulator given state-feedback and estimator gains

Topics

Linear-Quadratic-Gaussian (LQG) Design

Linear-quadratic-Gaussian (LQG) control is a state-space technique that allows you to trade off regulation/tracker performance and control effort, and to take into account process disturbances and measurement noise.

LQG Regulation: Rolling Mill Case Study

Use linear-quadratic-Gaussian techniques to regulate the beam thickness in a steel rolling mill.

Design Yaw Damper for Jet Transport

This case study illustrates the classical design process.

Design an LQG Regulator

Design an LQG regulator for a plant output in a system with noise.

Design an LQG Servo Controller

Design an LQG servo controller using a Kalman state estimator.

Design an LQR Servo Controller in Simulink

Design an LQR controller for a system modeled in Simulink®.

Pole Placement

Closed-loop pole locations have a direct impact on time response characteristics such as rise time, settling time, and transient oscillations. Pole placement uses state-space techniques to assign closed-loop poles.

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