The Dynamics of Automatic Control Systems
Published on 9. May 2014
776 pages
978-1-4831-8462-3 (ISBN)
Description
The Dynamics of Automatic Control Systems focuses on the dynamics of automatic control systems and the fundamental results of the theory of automatic control. The discussion covers theoretical methods of analysis and synthesis of automatic control systems common to systems of various physical natures and designs. Concrete examples of the simplest functional circuits are presented to illustrate the principal ideas in the construction of automatic control systems and the application of the theoretical methods. Comprised of 19 chapters, this book begins by describing different forms of automatic control systems, with emphasis on open and closed loop automatic systems. The reader is then introduced to transients in automatic regulation systems; methods for improving the regulation process; and some problems in the theory of automatic regulation. Subsequent chapters deal with linearization and transformation of the differential equations of an automatic regulation system; stability criteria for ordinary linear systems; equations of systems with delay and with distributed parameters; and equations of nonlinear automatic regulation systems. The oscillations and stability of nonlinear systems are also considered. This monograph will be of interest to engineers and students.
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Content
¿English Editor's IntroductionForewordPart I. General Information About Automatic Control Systems I. Forms of Automatic Control Systems 1. The Concept of Closed Automatic Systems 2. Servomechanisms and Control Systems 3. Direct and Indirect-Acting Systems 4. Continuous and Discontinuous (Relay and Pulse) Systems II. Transients in Automatic Regulation Systems 5. Linear and Non-Linear Systems 6. Processes in Linear Systems 7. Stability and Errors of Linear Systems 8. Forced Oscillations and Frequency Characteristics of Linear Systems 9. Non-Linear Systems 10. Representation of Responses Using Phase Trajectories III. Methods of Improving the Regulation Process 11. Static, Astatic and Oscillatory Systems. Reduction of Static and Stationary Dynamic Errors 12. Auxiliary Feedback in Linear Systems 13. Auxiliary Feedback in Non-Linear Systems 14. Regulation Function 15. Introduction of Derivatives into the Regulation Function IV. Some Problems in the Theory of Automatic Regulation 16. The Theory of Automatic Regulation 17. On the History of the Theory of Automatic RegulationPart II. Ordinary Linear Automatic Regulation Systems V. Linearisation and Transformation of the Differential Equations of an Automatic Regulation System 18. Linearisation of the Equations. Liapunov's Theorem on the Stability of Linearised Systems 19. Types of Elements in Automatic Systems and their Characteristics 20. Transformation of Equations and Frequency Characteristics of Single-Tuned Systems 21. Transformation of the Equations and Frequency Characteristics of Multi-Loop Systems VI. Setting Up the Equations of Ordinary Linear Automatic Regulation Systems 22. Equations for an Automatic Engine-Speed Regulation System 23. Equations of an Automatic Pressure Regulation System 24. Equations of an Automatic Voltage Regulation System 25. Equations of Automatic Aircraft-Course Regulator 26. Equations of a Servomechanism VII. Stability Criteria for Ordinary Linear Systems 27. Preliminary Information 28. Mikhailov's Stability Criterion 29. Algebraic Stability Criteria 30. Frequency Stability Criterion 31. Width of Stability Region and Stability Reserve VIII. Choice of Structure and Parameters of Ordinary Linear Automatic Regulation Systems from the Stability Condition 32. Use of the Vyshnegradskii Stability Criterion 33. Employment of the Hurwitz Stability Criterion 34. Utilisation of the Mikhailov Stability Criterion 35. Use of the Frequency Stability Criterion IX. Approximate Criteria of the Quality of Transient Response in Linear Systems from the Roots of the Characteristic Equation 36. Vyshnegradskii Diagram. Aperiodicity and Monotonicity of the Transient Response 37. Degree of Stability and its Application 38. Choice of System Parameters from the Distribution of Several Roots of the Characteristic Equation Closest to the Imaginary Axis 39. Calculation of the Roots of Equations and Polynomials 40. Choice of System Parameters from the Locations of all Roots of the Characteristic Equation X. Approximate Criteria of Transient Quality in Linear Systems Taking into Account the Right-Hand Side of the Equation of the Closed System 41. Integral Criteria of Transient Quality 42. Examples of the Choice of System Parameters with Respect to the Minimum Integral Criterion 43. Choice of System Parameters with Respect to the Distribution of Poles and Zeros of the Transfer Functions of the Closed System 44. Approximate Frequency Criteria of Transient QualityPart III. Special Linear Automatic Regulation Systems XI.
