Page 629 - Mechanical Engineers' Handbook (Volume 2)
P. 629

Mechanical Engineers’ Handbook: Instrumentation, Systems, Controls, and MEMS, Volume 2, Third Edition.



                                                                                   Edited by Myer Kutz





                                                                  Copyright   2006 by John Wiley & Sons, Inc.





                          CHAPTER 15
                          CONTROLLER DESIGN
                          Thomas Peter Neal
                          Consultant
                          Lake View, NY
                          1  INTRODUCTION                620       5.3  Feedforward            654
                          2  FUNDAMENTALS OF CLOSED-            6  PID CONTROLLERS             656
                            LOOP PERFORMANCE             621       6.1  Equivalence to Frequency
                            2.1  Accuracy and Loop Gain  621          Compensation             656
                            2.2  Dynamic Response and Stability  625  6.2  Systems Having No Inherent
                                                                      Integration              659
                          3  FREQUENCY COMPENSATION                6.3  Systems Having an Inherent
                            TO IMPROVE OVERALL                        Integration              660
                            PERFORMANCE                  632
                            3.1  Well-Damped Systems     633    7  EFFECTS OF NONLINEARITIES   660
                            3.2  Poorly Damped Systems   637       7.1  Simple Nonlinearities  663
                            3.3  Higher Order Effects    641       7.2  Complex Nonlinearities  668
                                                                   7.3  Computer Simulation    668
                          4  INNER FEEDBACK LOOPS        645
                            4.1  Derivatives of the Controlled  8  CONTROLLER
                                Variable                 646       IMPLEMENTATION              669
                            4.2  Alternative Inner Loop Variables  649  8.1  Analog Controllers  669
                            4.3  Nonelectronic Inner Loops  650    8.2  Hard-Wired Digital Controllers  672
                                                                   8.3  Computer-Based Digital
                          5  PREFILTERS AND                           Controllers              673
                            FEEDFORWARD                  651
                            5.1  Lag Prefilters           651       REFERENCES                  677
                            5.2  Lead Prefilters          652

           1  INTRODUCTION

                          The purpose of this chapter is to provide a basis for the specification and functional design
                          of electronic servocontrollers. No attempt is made to treat the subject of electronic circuit
                          design. Instead, the goal is to aid the engineer in selecting and applying a suitable off-the-
                          shelf controller or in specifying the controller requirements to a circuit designer. The em-
                          phasis is on position, velocity, or force control of mechanical loads, although many of the
                          techniques are applicable to controller design in general. Specialized subjects such as mul-
                          tiaxis control and adaptive control are beyond the scope of this chapter.
                             As a starting point, it is presumed that a servoactuator has been selected and mounted,
                          together with a suitable power supply, drive amplifier, and mechanical drive mechanism. In
                          addition, the primary feedback transducer has been chosen, and a simple loop closure has
                          been analyzed to determine whether the specified closed-loop performance can be obtained.



                          Reprinted from Instrumentation and Control, Wiley, New York, 1990, by permission of the publisher.



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