Control System

Syllabus

1. Control System Background (2 hours)
   1. History and importance of control systems
   2. Characteristics, components, variables, and basic features
   3. Types of control systems and comparative analysis
2. Component Modeling (6 hours)
   1. Differential equations and transfer function notations
   2. Mechanical components: mass, spring, damper modeling
   3. Electrical components: inductance, capacitance, resistance, DC/AC motors, transducers, operational amplifiers
   4. Force-voltage and force-current analogies
   5. Linearized approximations of nonlinear characteristics
3. System Transfer Function and Responses (10 hours)
   1. Component combinations for physical systems
   2. Block diagram algebra and reduction
   3. Signal flow graphs
   4. Time response analysis including impulse, step, ramp, parabolic test signals
   5. First and second-order system analysis
   6. Transient response characteristics (rise time, peak time, delay time, settling time, overshoot)
   7. Static error coefficients and steady-state error
   8. P, PI, PD, PID controllers and derivative feedback
4. Stability (4 hours)
   1. Stability introduction and instability causes
   2. Characteristic equations and root location
   3. Routh-Hurwitz criterion and loop gain setting
   4. Relative stability via complex plane axis shifting
5. Root Locus Technique (6 hours)
   1. Root locus introduction and principles
   2. Relationships between root loci and system time response
   3. Manual calculation and construction rules
   4. Stability assessment using root locus
6. Frequency Response Techniques (8 hours)
   1. Frequency domain system characterization
   2. Real and complex frequency response relationships
   3. Polar plots and Nyquist criterion
   4. Gain and phase margin analysis
   5. Bode plots with magnitude and phase representation
   6. Frequency domain stability analysis
7. Performance Specifications and Compensation Design (6 hours)
   1. Compensator techniques and applications
   2. Root locus and frequency response design methods
   3. Lead and lag cascade compensation (root locus and Bode approaches)
   4. Lead-lag compensator concepts
8. State Space Analysis (4 hours)
   1. State-space definitions and variables
   2. Electrical and mechanical system representations
   3. State-space to transfer function conversion
   4. Transfer function to state-space conversion
   5. State-transition matrix analysis

Practicals

1. DC motor control
2. Component characterization
3. Feedback effects
4. Frequency response determination
5. Closed-loop system simulation