TEACHING PLAN

(Summer 1996, SECTION 0101)

CHAPTER 1 INTRODUCTION

1.1 What Is the Concept of "Control Engineering"?

1.2 Why Do We Study "Control Engineering"?

1.3 How Do We Study "Control Engineering"?

1. Elementary knowledge of dynamics.
2. Elementary knowledge of electrical engineering.
3. Elementary knowledge of differential equations.

1.4 Objectives of This Course.

CHAPTER 2 Modeling of Physical Systems

1. 1 Modeling of System Components.

1. Components to store or release potential energy - Springs and capacitors.
2. Components to dissipate (consume) energy - dampers and resistors.
3. Components to store or release kinetic energy - inertia and inductors.
2.2 Modeling of Mechanical Systems.

1. Combination of similar components.
2. Combination of dissimilar components.
2.3 Analogies in the Mathematical Modeling between Mechanical and Electrical Systems.

1. Modeling of electrical systems.
2. Force-Voltage Analog.
2.4 Modeling of Control Systems.

CHAPTER 3 Laplace Transforms

3.1 Method of Laplace transform.

1. Introduction of Laplace transform.
2. Properties of Laplace transform.
3.2 Impulse Function and Its Laplace Transform.

3.3 Techniques for Calculating the Inverse Laplace Transform.

3.4 Convolution Integral and Its Applications.

CHAPTER 4


Transfer Function and Signal Flow Graphs

4 1 Transfer Function.

1. Definition of transfer function.
2. Relations between differential equations and transfer function.
3. Impulse response and transfer function.
4.2 Block Diagrams of Control Systems.

1. Block diagram elements.
2. Input-output relationships.
3. Terminology of block diagram.
4. Derivation of closed-loop function.
4.3 Signal Flow Graphs.
1. Concept of signal flow.
2. Basic properties of signal flow graphs.
3. Construction of signal flow graphs.
4. Transfer function in matrix form.
5. Mason's formula to derive the transfer funcdon.
6. D C motors in control systems
The First Test closed-book and bringing your calculator, Friday, June 21, 1996

CHAPTER 5 Time Domain Analysis

5.1 Introduction.

5.2 Control of the transient response.

5.3 Sensitivity analysis.

5.4 Analysis of steady-state error.

1. Definition of the steady-state error.
2. Laplace transformed error function.
3. Typical test signals.
4. Type of feedback control systems.
5. Three error constants.
5.5 Time-domain performance specifications.

1. Time constant of a first-order system.
2. Characteristics of a second-order system.
3. System performance indices.

CHAPTER 6 Stability of Control Systems

6.1 Introduction.

6.2 Root location and the transient response.

6.3 Routh-Hurwitz stability criterion.

1. Necessary and aufficient conditions.
2. Routh Tabulation.
3. T wo special cases.
4. Application of the Routh-Hurwitz criterion.
6.4 Nyquist stability criterion.

1. Introduction.
2. Principle of the Argument.
3. Nyquist path.
4. Nyquist criterion and the G(s)H(s) plot.

CHAPTER 7 Root Locaus Method

7.1 Introduction.

7.2 Basic conditions of the root loci

7.3 Construction of the Complete Root Loci.

  1. K = 0 points.
  2. K = + oo points.
  3. Number of separate root loci.
  4. Symmetry of root loci.
  5. Asymptotes of root loci as s --> ~.
  6. Intersection of the asymptotes (centroids).

    The Second Test closed-book and bringing your calculator, July 3, 1990.

  7. Root loci on the real axis.
  8. Angles of departure and arrival.
  9. Intersection of the root loci with the imaginary axis.
  10. Breakaway points (saddle points).
  11. Calculation of the values of K on the root loci.

7.4 Application

CHAPTER 8 Frequency Domain Analysis

8.1 Introduction.

8.2 Terminology.

8.3 Gain Margin (G.M.) and Phase Margin

8.4 Bode Plot.

8.5 Four Typical Bode Plots.

8.6 Combinational Bode Plots.

CHAPTER 9 State Space Analysis

9.1 Introduction.

9.2 State Equations and Dynamic Equations.

9.3 Relationship between State Equations and Transfer Functions.



SUMMARY AND GENERAL REVIEW

Thursday, July 11, 1996

FINAL EXAMINATION

Friday, July 12, 1996


Email:zhang@eng.umd.edu