COURSE DESCRIPTION: (Prerequisite, EEL 3123C, including diff equations, Laplace transform techniques, circuit transfer functions, network theory). Control system theory, including dynamic system representation in terms of differential equations and transfer functions, Mason's rule for transfer function determination, linearization, the response of first and second order systems (bandwidth, rise time, settling time), control system characteristics (speed of response, disturbance rejection, steady state accuracy, and sensitivity to parameter variations), root locus analysis, Routh-Hurwitz and Nyquist stability criteria, relative stability (gain margin and phase margin) from Nyquist and Bode diagrams, and design of lead and lag compensators for control systems. See page three for the order of coverage of course material.
INSTRUCTOR: Michael G. Haralambous
TEXT:
FEEDBACK CONTROL SYSTEMS, C. Phillips and R. Harbor, Prentice-Hall, 2000.
REFERENCES:
MODERN CONTROL SYSTEMS, R. Dorf and R.H. Bishop, Addison-Wesley
MODERN CONTROL SYSTEMS ANALYSIS AND DESIGN, R.H. Bishop, 1997
MODERN CONTROL ENGINEERING, K. Ogata, Prentice-Hall.
FEEDBACK AND CONTROL SYSTEMS, Schaum's Theory and Problems.
CONTINUOUS AND DISCRETE CONTROL SYSTEMS, J. Dorsey, McGraw-Hill, 2002.
USING MATLAB TO ANALYZE AND DESIGN CONTROL SYSTEMS, by N.E. Leonard and W.S. Levine,
published by Addison-Wesley, 1995.
Several other references on control systems can be found in the library. You may refer to http://classes.cecs.ucf.edu/eel3657/haralambous for supplementary material; this is not required reading, but may be helpful.
Class Notes :
- Introduction to Linear Control Systems
- Antenna Azimuth Angle Control System
- Complex Numbers
- Complex Numbers and Laplace Transforms
- Frequency Response of a System
- Cauchy's Principle of the Argument, with an Example
- Applications of Laplace Transforms, Sinusuidal Steady State Analysis and Settling Time
- Final Value Theorem
- Mason's Rule, with examples Linearization
- Block diagram, signal flow graph, & application of Mason's Rule for RLC circuit
- Mason's Rule
- Another Mason's rule example
- Straight Line Bode Plots
- Servo Systems
- Bode Diagram example
- Straight Line Bode Plots and Mason's Rule
- Straight Line Bode Diagrams
- Example - Straight Line Bode Diagram
- Block Diagram Reduction Table with Example
- The Servomotor
- Determinants, Transfer Functions, and Cramers's Rule
- State Variable Models Root Locus & Nyguist Example from Dorsey's book
- Stable, Marginally Stable, and Unstable Systems, I
- Stable, Marginally Stable, and Unstable Systems, II
- The Routh-Hurwitz Stability Criterion
- Root Locus Construction
- Root Locus Examples
- Various Root Locus Plots
- Disturbance Rejection
- Control System Sensitivity
- Response of First Order Systems
- Second Order Systems
- First and Second Order Systems
- Steady State Error
- Problem 10.8.1.3 of Dorsey: Drawing the Nyguist
- Root Locus Design Example from Dorsey's Book
- An example, with introduction to Root Locus, Cauchy's Principle, Nyquist Diagram, and Step Response.
- Nyquist Diagram Summary
- Gain Margin, Phase Margin, and 180 Degree Phase Crossover
- Nyquist Stability Criterion with Example 3-04-03
- Stability Example
- Nyquist Stability, Lag and Lead Compensators
- First Order Lag Compensators
- Op-Amps
- Derivation of a Schematic for a DC Motor
- Straight Line Bode Diagram to Transfer Function
- Relating Nyquist diagram, Bode diagrams, & root locus
- Laplace Transform
- Apendix B