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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
  • Classical Control
  • Modern Control
  • Robust Control Systems

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

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