In this chapter, the time response of a control system to typical test input signals, namely unit-impulse, unit step, and unit ramp functions, is an important design criterion. In fact, given the system response to these test inputs, we can infer about the system behavior in response to more general real signals.

Chapter Contents:

• 3.1 Fundamentals
• 3.1.1 List of symbols
• 3.1.2 Time response of a continuous LTI system
• 3.1.3 Time response of first-order systems
• 3.1.3.1 Time response to the unit impulse
• 3.1.3.2 Time response to the unit step
• 3.1.3.3 Time response to the unit ramp
• 3.1.4 Time response of second-order systems
• 3.1.4.1 Time response to the unit impulse
• 3.1.4.2 Time response to the unit step
• 3.1.5 Routh's stability criterion
• 3.1.6 Steady-state errors
• 3.2 Worked examples
• 3.2.1 Routh-Hurwitz criterion
• 3.2.2 Transient response
• 3.2.3 Steady-state errors
• 3.3 Proposed exercises
• 3.3.1 Routh-Hurwitz criterion
• 3.3.2 Transient response
• 3.3.3 Steady-state errors
• 3.4 Time response analysis using computer packages
• 3.4.1 MATLAB
• 3.4.2 SCILAB
• 3.4.3 OCTAVE

Inspec keywords: control system analysis; control system synthesis; continuous systems

Other keywords: unit ramp function; design criterion; time domain; time response; continuous systems analysis; unit-impulse function; unit step function

Subjects: Control system analysis and synthesis methods