# Curriculum Map

# Course: Control Systems

**Description**

This curriculum map provides a mapping of content from *Standard Handbook of Electronic Engineering* to standard Control Systems course topics. The author carefully selected relevant examples, videos, tables and figures which she felt would be valuable supplements to any standard Control Systems textbook. You can easily incorporate the content into your course by using our copy link functionality to paste a direct link into your school's LMS.

**Author**

Carlotta A. Berry, Ph.D., Assistant Professor, Department of Electrical and Computer Engineering, Rose-Hulman Institute of Technology

## Course Topics

## System Modeling

Relevant Material | Type | Description | Source |
---|---|---|---|

Differential Equation Description |
Figure | Figure 19.1.2 and Figure 19.1.3 show the dual relationship between an RLC circuit and the spring, mass, damper system that can be described by a second order differential equation |
Standard Handbook of Electronic Engineering |

State Variable Description | Text | This text describes the derivation of the state variable model from a second order differential equation to describe a system | Standard Handbook of Electronic Engineering |

Transfer Function Model |
Figure | Figure 19.1.4 shows the transfer function model to illustrate the frequency response to a system by using G(s) = Y(s)/U(s) | Standard Handbook of Electronic Engineering |

Differential Equation to Transfer Function | Example | Derivation of the transfer function of a system given the differential equation |
Standard Handbook of Electronic Engineering |

Problem 6.44: Transfer Function Example 1 | Video | Video shows how to find the transfer function of an RC Circuit. |
Schaum's Outline of Feedback and Control Systems |

Problem 7.29: Transfer Function Example 2 | Video | Video shows how to find the transfer function of a system given the block diagram. |
Schaum's Outline of Feedback and Control Systems |

Problem 3.55: Transfer Functions Example 1 | Video | Video demonstrates how to find the transfer function of a system described by a block diagram. |
Schaum's Outline of Signals and Systems |

Problem 8.21: Mason's Gain Rule | Video | Video shows how to find the transfer function of a system by using the Mason's Gain Rule. |
Schaum's Outline of Feedback and Control Systems |

State Space to Transfer Function | Example |
Derivation of the transfer function of a system given the state space description |
Standard Handbook of Electronic Engineering |

Poles and Zeros | Example | Finding the poles and zeros of a system described by a transfer function |
Standard Handbook of Electronic Engineering |

Problem 2.23: Block Diagrams | Video | Video demonstrates the creation of a block diagram for a closed loop system. |
Schaum's Outline of Feedback and Control Systems |

## Classical Control

Relevant Material | Type | Description | Source |
---|---|---|---|

Motion Control Example |
Video | Video describes the design of a P and PD controller for motion control |
Standard Handbook of Electronic Engineering |

Motion Control System | Figure | Figure 19.1.14 illustrates the simulation model for the feedback control of a motion control system |
Standard Handbook of Electronic Engineering |

Root Locus | Figure | Figure 19.1.15 shows the root locus plot for the motion control system design problem |
Standard Handbook of Electronic Engineering |

Solved Problems | Examples | Problems and solutions on root locus analysis. |
Schaum's Outline of Feedback and Control Systems |

Problem 13.48: Root Locus Construction | Video | Video demonstrates how to construct the root-locus for the transfer function of a system. |
Schaum's Outline of Feedback and Control Systems |

Solved Problems | Examples | Problems and solutions on root locus design. |
Schaum's Outline of Feedback and Control Systems |

Problem 14.18: Root Locus Design Ex. 1 | Video | Video demonstrates how to use root locus design to select the gain, K such that a closed loop system has required dominant poles. |
Schaum's Outline of Feedback and Control Systems |

Problem 14.19: Root Locus Design Ex. 2 | Video | Video demonstrates how to use root locus to design a compensator for a system to have a certain overshoot, rise time and gain margin. |
Schaum's Outline of Feedback and Control Systems |

Sensitivity | Text | Designing a PD controller to be less sensitive to sensor noise |
Standard Handbook of Electronic Engineering |

Controller Sensitivity | Video | Video demonstrates how to make a controller less sensitive to sensor noise |
Standard Handbook of Electronic Engineering |

Problem 9.21: Sensitivity | Video | Video demonstrates how to find the sensitivity of a system to variations in a parameter. |
Schaum's Outline of Feedback and Control Systems |

Phase and Gain Margin | Video | Video describes how to find the gain and phase margin on the Bode plot for a system |
Standard Handbook of Electronic Engineering |

Problem 10.16: Gain and Phase Margin | Video | Video demonstrates how to find the gain and phase margin of a system given the open loop gain. |
Schaum's Outline of Feedback and Control Systems |

Problem 10.17: Phase Margin and Bandwidth | Video |
Video demonstrates how to find the phase margin and bandwidth for a system given the open loop gain. |
Schaum's Outline of Feedback and Control Systems |

Problem 15.14: Bode Analysis | Video |
Video demonstrates how to construct a Bode diagram and use it to determine the gain and phase margin. |
Schaum's Outline of Feedback and Control Systems |

Problem 6.12/6.13/6.14: Bode Design | Video |
Video demonstrates the Bode design of a compensator for a system to have a required phase margin and gain margin. |
Schaum's Outline of Feedback and Control Systems |

Problem 12.17: Nyquist Design | Video |
Video demonstrates how to use gain factor compensation to yield a required resonant peak. |
Schaum's Outline of Feedback and Control Systems |

Problem 13.43: S-Plane Example | Video |
Video shows how to find the angle and magnitude of a system given the open loop gain and a pole-zero diagram. |
Schaum's Outline of Feedback and Control Systems |

## Modern Control

Relevant Material | Type | Description | Source |
---|---|---|---|

Eigenvalue Assignment Design |
Text | Illustration of state space design by using eigenvalue assignment |
Standard Handbook of Electronic Engineering |

Eigenvalue Assignment Design | Video | Video demonstrates state space design by using eigenvalue assignment |
Standard Handbook of Electronic Engineering |

Linear Quadratic Regulator | Text | Minimize the quadratic cost by designing a linear quadratic regulator for a system |
Standard Handbook of Electronic Engineering |

Linear Quadratic Regulator Problem | Video | Video demonstrates how to use a Linear Quadratic Regulator on a control system |
Standard Handbook of Electronic Engineering |

Solution to the State Space Description | Example | Example shows how to find the solution of a system defined by a state space description. |
Standard Handbook of Electronic Engineering |

Solved Problems | Examples | Problems and solutions on state space analysis. | Schaum's Outline of Signals and Systems |

Problem 7.65: State Space Representation | Video | Video demonstrates how to find the state space representation of a system. |
Schaum's Outline of Signals and Systems |

Problem 7.73: State Space Method | Video |
Video demonstrates how to use the state space method to solve a linear differential equation. |
Schaum's Outline of Signals and Systems |

## Robust Control Systems

Relevant Material | Type | Description | Source |
---|---|---|---|

System Stability |
Video | Video describes how to design a controller to stabilize an unstable system with uncertain parameters |
Standard Handbook of Electronic Engineering |

Problem 7.68: Asymptotically Stable System | Video | Video demonstrates how to find the state space representation of a system and determine whether it is asymptotically and/or BIBO stable. |
Schaum's Outline of Signals and Systems |

Problem 5.30: Stable Systems | Video | Video demonstrates how to determine whether a system is stable based upon the characteristic polynomial. |
Schaum's Outline of Feedback and Control Systems |

Problem 11.73/11.75: Nyquist Stability Criterion | Video | Video demonstrates how to use the Nyquist Stability criterion to determine if a closed loop system is stable. |
Schaum's Outline of Feedback and Control Systems |