Chapter 6Stability

Closed-loop poles and response

Common cause of problems in finding closed-loop poles

Equivalent closed-loop transfer function

Routh StabilityInitial layout for Routh table2000, John Wiley & Sons, Inc.Nise/Control Systems Engineering, 3/e

Completed Routh table

Feedback system for Example 6.1

Table 6.3Completed Routh table for Example 6.1

Completed Routh table for Example 6.2

Determining signs in first column of a Routh table with zero as first element in a row

Routh table for Example 6.3

Routh table for Example 6.4

Feedback control system for Example 6.6

Feedback control system for Example 6.8

Table 6.14Summary of pole locations for Example 6.82000, John Wiley & Sons, Inc.Nise/Control Systems Engineering, 3/e

Feedback control system for Example 6.9

Stability in State Space

Problem 32

Problem 35

Stability in State Space

Problem 32

Problem 35

Problem 43: Closed-loop system with pole plot2000, John Wiley &Sons, Inc.Nise/Control Systems Engineering, 3/e

Problem 55: Aircraft pitch loop model2000, John Wiley & Sons, Inc.Nise/Control Systems Engineering, 3/e

Problem 57 a. Soft Arm used for feeding;b. simplified block diagram2000, John Wiley & Sons, Inc.Nise/Control Systems Engineering, 3/eCourtesy of Kazuhiko Kawamura, Vanderbilt University.