《THEORY OF AUTOMATIC CONTROL》求取 ⇩

CHAPTER ⅠGeneral Introduction to Automatic Controllers1

1.General considerations of control processes.Terminology1

2.The simplest systems of direct control5

3.Astatic controllers of indirect action14

4.Rigid(proportional)feedback.Static indirect action controllers19

5.Floating feedback26

6.Derivative actions32

7.Multiple control34

8.Two-position(oscillatory)controllers36

9.Controllers of discontinuous action40

10.Extremal controllers44

11.Individual,specialized and universal controllers.Aggregate systems54

CHAPTER ⅡThe Construction of a Linear Model Control System and the Initial Marerial for its analysis56

1.The dismemberment of the system into its elements58

2.Static characteristics of elements and of systems65

3.The equations of the system elements72

4.The linear model of an element.The linearization of equations90

5.The classification of linear models of elements.The inherent operator and the action operators.Typical elements(stages)97

6.The transfer function of the linear model of a system.Its forma-tion from the equations of the linear models of its elements100

7.The statics of the linear model of an automatic control system.The transfer functions of static and astatic systems107

8.Frequency characteristics of a linear element and of the linear model of a system110

9.Concluding remarks148

CHAPTER ⅢThe Stability of the Linear Model of an Automatic Control System150

1.Estimating the stability of the linear model of a system,using its transfer function151

2.An estimate of the stability of a system from the frequency characteristics185

3.General properties of some classes of systems of automatic control,connected with the conditions of their stability198

4.Estimating the stability of the original system from the stability of its linear model226

5.Concluding remarks231

CHAPTER ⅣThe Construction and the Evaluation of the Processes in the Linear Model of a System of Automatic Control233

1.General considerations233

2.The construction of the process from the transfer function of the system238

3.A graphical method of constructing the control process248

4.The construction of the control process from the frequency characteristics of the system262

5.General considerations of indirect estimates of the control process.The degree of stability282

6.Integral estimates290

7.Estimates of the process on the basis of the form of the frequency characteristic308

8.The analysis of systems with random disturbances,given statistically316

9.Concluding remarks327

CHAPTER ⅤAuto-and Forced Oscillation in Non-linear Systems331

1.General remarks concerning periodic states in non-linear systems331

A.The Approximate Determination of Periodic States which are Nearly Harmonic331

2.The conditions for which periodic states are nearly harmonic335

3.The approximate determination of auto-oscillations by the harmonic balance(filter)method344

4.The approximate determination of forced oscillations in the presence of an external periodic action358

5.System containing several non-linearities363

6.The determination of the auto-oscillations in the case of autoresonance366

7.The"slight"stability of periodic solutions approximately found371

B.The Exact Determination of Periodic States when the Non-linear Element has a Piecewise-Linear Characteristic380

8.General introduction to piecewise-linear systems and to exact methods for determining their periodic solutions380

9.The simplest periodic states in a system with a symmetric relay392

10.The determination of the periodic states in systems with a nonrelay piecewise-linear characteristic397

11.The stability of periodic states found exactly425

12.Sliding switchings in systems with piecewise-linear characteristics430

13.Some remarks concerning the phase space of dynamic systems.The value of periodic motions440

14.Concluding remarks457

APPENDIX 1Laplace and Fourier Transforms and their Application to the Integration of Systems of Linear Differential Equations with Constant Coefficients460

1.A general introduction to the Laplace transform460

2.The integration of a single differential equation465

3.The integration of a system of linear differential equations475

4.The Fourier transform and integral480

APPENDIX 2Table of Trigonometric Functions485

BIBLIOGRAPHY491

SUBJECT INDEX514