- (PDF) Undergraduate Lecture Notes on LQG/LQR controller design | Duy Khuong - rodubakuhiqe.gq
- Description
- Controllability and Observability
- Inverted Pendulum: State-Space Methods for Controller Design

The Scopes subsystem contains scopes that allow you to see the simulation results.

A state-feedback speed-control structure for a DC motor. The Control subsystem includes the state-feedback control loop, and the PWM generation. The state vector includes the rotor speed which is measured, and the dc motor current, which is estimated using an observer. Both the observer and state-feedback controller are synthesized by pole placement using the state-space model of the system.

- Discrete state-space;
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## (PDF) Undergraduate Lecture Notes on LQG/LQR controller design | Duy Khuong - rodubakuhiqe.gq

Toggle Main Navigation. All Examples Functions Blocks More. Search MathWorks. All Examples Functions Blocks. Toggle navigation. Trial Software Product Updates. This is machine translation Translated by. State-Feedback Controller Discrete-time state-feedback controller with integral action expand all in page. Equations The integral of the tracking error, x i , is an additional state that ensures zero steady-state error for the closed-loop system.

Assumptions System state measurement and estimation occur outside the controller. Input expand all r — Plant reference scalar. Plant system reference signal. Data Types: single double. Measured or estimated system state vector. Reset — Integrator reset scalar.

### Description

External reset signal rising edge for the integrator. Data Types: Boolean. Plant system output signal. Output expand all u — Controller output scalar. Control system output signal. Parameters expand all State-feedback design — Controller generation State-feedback gain default Desired eigenvalues. Select the strategy for parameterizing controller gain: State-feedback gain — Specify the controller gain directly Desired eigenvalues — Specify the plant model and desired eigenvalues from which to generate the controller gain.

State-feedback parameterization — State-feedback parameterization Discrete-time default Continuous-time. Dependencies To enable this parameter, set State-feedback design to Desired eigenvalues. Controller matrix — Controller matrix [1 1] default matrix. Dependencies To enable this parameter, set State-feedback design to State-feedback gain. Discrete-time A matrix — A matrix in discrete time 1 default real scalar or matrix.

### Controllability and Observability

Dependencies To enable this parameter, set State-feedback parameterization to Discrete-time. Discrete-time B matrix — B matrix in discrete time 1 default real scalar or matrix. Discrete-time C matrix — C matrix in discrete time 1 default real scalar or matrix. Discrete-time D matrix — D matrix in discrete time 1 default real scalar or matrix.

Continuous-time A matrix — A matrix in continuous time 1 default real scalar or matrix. Dependencies To enable this parameter, set State-feedback parameterization to Continuous-time. Continuous-time B matrix — B matrix in continuous time 1 default real scalar or matrix. Continuous-time C matrix — C matrix in continuous time 1 default real scalar or matrix. Continuous-time D matrix — D matrix in continuous time 1 default real scalar or matrix.

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Discretization sample time — Discretization sample time 0. Dependencies To enable this parameter, set State-feedback parameterization to Continuous-time and Sample time -1 for inherited to Desired eigenvalues discrete — Observer eigenvalues 0 default real vector. Control action upper limit — u max 5 default scalar greater than the value of the Control action lower limit parameter.

Upper limit for the control output signal. Control action lower limit — u min 0 default scalar. Lower limit for the control output signal.

## Inverted Pendulum: State-Space Methods for Controller Design

Sample time -1 for inherited — Sampling interval -1 default default value or a positive number. Model Examples. Advanced Search Find a Library. Your list has reached the maximum number of items. Please create a new list with a new name; move some items to a new or existing list; or delete some items. Your request to send this item has been completed. APA 6th ed. Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study.

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