DC Motor Control Design - Maple Help

DC Motor Control Design

Given a model of a DC motor as a set of differential equations, we want to obtain both the transfer function and the state space model of the system. Then, we want to use the state space model to design a LQR controller and study the effect the R parameter in the LQR control design has on the controlled performance of the system.

System Definition

 • Parameters
 • Variables

System Models

 • Differential Equation Model
 • Transfer Function Model
 • State Space Model
 • Model Analysis

LQR Control Design

 • Step Responses
 • How varying R affects the System Response

A DC motor converts electrical signals (voltage and current) into mechanical motion. The electrical and mechanical characteristics can be illustrated by a circuit diagram and a free body diagram respectively (shown in the diagram above).

System Definition

Define the Variables and the Parameters that describe the system.

System Models

LQR Control Design