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Linear Control Systems

Linear Control Systems



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 :


    1. Introduction to Linear Control Systems
    2. Antenna Azimuth Angle Control System
    3. Complex Numbers
    4. Complex Numbers and Laplace Transforms
    5. Frequency Response of a System
    6. Cauchy's Principle of the Argument, with an Example
    7. Applications of Laplace Transforms, Sinusuidal Steady State Analysis and Settling Time
    8. Final Value Theorem
    9. Mason's Rule, with examples
    10. Linearization
    11. Block diagram, signal flow graph, & application of Mason's Rule for RLC circuit
    12. Mason's Rule
    13. Another Mason's rule example
    14. Straight Line Bode Plots
    15. Servo Systems
    16. Bode Diagram example
    17. Straight Line Bode Plots and Mason's Rule
    18. Straight Line Bode Diagrams
    19. Example - Straight Line Bode Diagram
    20. Block Diagram Reduction Table with Example
    21. The Servomotor
    22. Determinants, Transfer Functions, and Cramers's Rule
    23. State Variable Models
    24. Root Locus & Nyguist Example from Dorsey's book
    25. Stable, Marginally Stable, and Unstable Systems, I
    26. Stable, Marginally Stable, and Unstable Systems, II
    27. The Routh-Hurwitz Stability Criterion
    28. Root Locus Construction
    29. Root Locus Examples
    30. Various Root Locus Plots
    31. Disturbance Rejection
    32. Control System Sensitivity
    33. Response of First Order Systems
    34. Second Order Systems
    35. First and Second Order Systems
    36. Steady State Error
    37. Problem 10.8.1.3 of Dorsey: Drawing the Nyguist
    38. Root Locus Design Example from Dorsey's Book
    39. An example, with introduction to Root Locus, Cauchy's Principle, Nyquist Diagram, and Step Response.
    40. Nyquist Diagram Summary
    41. Gain Margin, Phase Margin, and 180 Degree Phase Crossover
    42. Nyquist Stability Criterion with Example 3-04-03
    43. Stability Example
    44. Nyquist Stability, Lag and Lead Compensators
    45. First Order Lag Compensators
    46. Op-Amps
    47.  Derivation of a Schematic for a DC Motor
    48. Straight Line Bode Diagram to Transfer Function
    49. Relating Nyquist diagram, Bode diagrams, & root locus
    50. Laplace Transform
    51. Apendix B