Author introduced the root-locus method as an important tool for the analysis of closed-loop feedback systems. In fact, the relative stability and the transient performance are directly related to the location of the closed-loop roots of the characteristic equation in the s plane. The main properties of the root-locus are presented, which are also used as practical sketching rules for quickly obtaining the root-locus chart by hand.

Chapter Contents:

• 4.1 Fundamentals
• 4.1.1 List of symbols
• 4.1.2 Root-locus preliminaries
• 4.1.2.1 Geometric interpretation
• 4.1.3 Root-locus practical sketching rules (K 0)
• 4.1.4 Root-locus practical sketching rules (K 0)
• 4.2 Solved problems
• 4.3 Proposed problems
• 4.4 Root-locus analysis using computer packages
• 4.4.1 MATLAB
• 4.4.2 SCILAB
• 4.4.3 OCTAVE

Inspec keywords: stability; root loci; closed loop systems

Other keywords: transient performance; closed-loop feedback systems; sketching rules; root-locus chart; closed-loop roots; relative stability; root-locus analysis

Subjects: Control system analysis and synthesis methods; Stability in control theory