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