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E-raamat: Control System Problems: Formulas, Solutions, and Simulation Tools

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(Piraeus University of Applied Sciences, Athens, Greece), (Otesat-Maritel, Piraeus, Greece)
  • Formaat: 532 pages
  • Ilmumisaeg: 03-Sep-2018
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781439868515
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Control System Problems: Formulas, Solutions, and Simulation ToolsSuurem pilt
  • Formaat: 532 pages
  • Ilmumisaeg: 03-Sep-2018
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781439868515
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"Automatic control is a multidisciplinary subject covering topics of interest for electrical, mechanical, aerospace, chemical and industrial engineers. The objective of this text is to provide a comprehensive but practical coverage of the concepts of control systems theory. The theory is written in a straightforward uncomplicated way in order to simplify as much as possible, and in the same time classify, the problems met in classical automatic control. Each chapter includes an extensive section with formulas useful for dealing with the numerous solved problems that conclude the chapter. Finally, emphasis is given in the introduction of various simulation tools"--

"Using a practical approach that includes only necessary theoretical background, this book focuses on applied problems that motivate readers and help them understand the concepts of automatic control. The text covers servomechanisms, hydraulics, thermal control, mechanical systems, and electric circuits. It explains the modeling process, introduces the problem solution, and discusses derived results. Presented solutions are based directly on math formulas, which are provided in extensive tables throughout the text. This enables readers to develop the ability to quickly solve practical problems on control systems"--

Veloni (electronic computing systems, Technology Education Institute of Piraeus, Greece) and Palamides, with a Piraeus company, set out the fundamental concepts of control systems theory in a straightforward and simple manner for students and other readers encountering it for the first time. Among their topics are Laplace transforms, control system characteristics, root-locus analysis, the state-space representation of control systems, and simulation tools. Chapter-end formulas and problems are provided. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

Using a practical approach that includes only necessary theoretical background, this book focuses on applied problems that motivate readers and help them understand the concepts of automatic control. The text covers servomechanisms, hydraulics, thermal control, mechanical systems, and electric circuits. It explains the modeling process, introduces the problem solution, and discusses derived results. Presented solutions are based directly on math formulas, which are provided in extensive tables throughout the text. This enables readers to develop the ability to quickly solve practical problems on control systems.

Preface xi
Acknowledgments xiii
Authors xv
1 Laplace Transform 1(34)
1.1 Introduction
1(1)
1.1.1 Advantages of the Laplace Transform
1(1)
1.2 Laplace Transform Properties and Theorems
2(1)
1.3 Inverse Laplace Transform
3(1)
1.4 Solving Differential Equations with the Use of Laplace Transform
4(1)
Formulas
5(6)
Problems
11(24)
2 Transfer Functions, Block Diagrams, and Signal Flow Graphs 35(66)
2.1 Transfer Function
35(1)
2.1.1 Easy Calculation of the Transfer Function
36(1)
2.2 Block Diagrams
36(1)
2.3 Signal Flow Graphs
37(1)
2.4 Mason's Gain Formula
38(1)
2.5 Response of a Multiple Input System
39(2)
Formulas
41(4)
Problems
45(56)
3 Control System Characteristics 101(24)
3.1 System Sensitivity to Parameter Variations
101(1)
3.2 Steady-State Error
101(4)
3.3 Types of Control Systems
105(1)
Formulas
105(1)
Problems
106(19)
4 Time Response of First- and Second-Order Control Systems 125(30)
4.1 Time Response
125(1)
4.2 First-Order Systems
126(2)
4.3 Second-Order Systems
128(2)
4.4 Transient Response
130(2)
Formulas
132(4)
Problems
136(19)
5 Stability of Control Systems 155(42)
5.1 Introduction
155(1)
5.2 Algebraic Stability Criteria
155(8)
5.2.1 Routh's Stability Criterion
155(3)
5.2.1.1 Routh's Tabulation
157(1)
5.2.1.2 Special Cases
158(1)
5.2.2 Hurwitz Stability Criterion
158(1)
5.2.3 Continued Fraction Stability Criterion
159(1)
5.2.4 Nyquist Stability Criterion
160(3)
Formulas
163(4)
Problems
167(30)
6 Root-Locus Analysis 197(52)
6.1 Introduction
197(1)
6.2 Designing a Root-Locus Diagram
198(2)
6.3 Design of a Control System with the Use of the Root Locus
200(4)
6.3.1 Phase-Lead Controller
201(1)
6.3.2 Phase-Lag Controller
201(1)
6.3.3 Lead-Lag Controller
202(2)
Formulas
204(1)
Problems
205(44)
7 Frequency Response: Bode Diagrams 249(46)
7.1 Steady-State Response for Sinusoid Input Signal
249(1)
7.2 Frequency Response Characteristics
250(1)
7.3 Time Response and Frequency Response
251(2)
7.3.1 First-Order Systems
251(1)
7.3.2 Second-Order Systems
251(2)
7.4 Bode Diagrams
253(3)
7.5 Bode Stability Criterion
256(1)
7.5.1 Gain Margin Kg
256(1)
7.5.2 Phase Margin φa
256(1)
Formulas
257(4)
Problems
261(34)
8 State-Space Representation of Control Systems 295(90)
8.1 Introduction
295(1)
8.2 Eigenvalues and Eigenvectors
296(1)
8.3 State-Space Representation of Dynamic Systems
297(6)
8.3.1 Relationship between State Equations and Transfer Function
303(1)
8.4 Solving State Equations
303(2)
8.4.1 Solving the Homogeneous Equation x(t) = Ax(t)
303(2)
8.4.2 General Solution of State Equations
305(1)
8.5 Block Diagrams of State Equations
305(1)
8.6 Signal Flow Block Diagrams of State Equations
306(1)
8.7 Controllability and Observability
307(1)
8.8 Modern Control System Design Methods
307(4)
8.8.1 Placement of Eigenvalues with State Feedback
307(2)
8.8.2 Pole Placement Procedure
309(1)
8.8.3 Decoupling State-Feedback Inputs-Outputs
310(1)
8.9 State Observers
311(4)
Formulas
315(7)
Problems
322(63)
9 Control-System Compensation 385(42)
9.1 Introduction
385(1)
9.2 PID Controllers
386(5)
9.2.1 P Controller
387(1)
9.2.2 I Controller
388(1)
9.2.3 D Controller
388(1)
9.2.4 PI Controller
389(1)
9.2.5 PD Controller
389(1)
9.2.6 PID Controller
390(1)
9.2.7 PID Controller Forms
390(1)
9.3 Design of PID Controllers
391(4)
9.3.1 First Ziegler-Nichols Method
391(1)
9.3.2 Second Ziegler-Nichols Method
392(1)
9.3.3 Chien-Hrones-Reswick (CHR) Tuning Method
393(1)
9.3.4 Cohen-Coon (CC) Tuning Method
393(2)
9.4 Compensation with Lead-Lag Controllers
395(5)
9.4.1 Phase-Lead Compensation
395(2)
9.4.1.1 Design with the Root Locus
396(1)
9.4.1.2 Designing with the Use of Bode Plots
396(1)
9.4.2 Phase-Lag Compensation
397(1)
9.4.2.1 Designing with the Use of the Root Locus
397(1)
9.4.2.2 Designing with the Use of Bode Plot
398(1)
9.4.3 Lag-Lead Compensation
398(2)
9.4.4 Lead-Lag Compensation
400(1)
Formulas
400(4)
Problems
404(23)
10 Simulation Tools 427(80)
10.1 Introduction
427(1)
10.2 MATLAB®
428(10)
10.2.1 Laplace Transform
428(1)
10.2.2 Construction of LTI Models
428(4)
10.2.3 Systems Interconnections
432(1)
10.2.4 Conversions between Various Forms of LTI Objects
433(1)
10.2.5 System Analysis in the Time Domain
434(1)
10.2.6 System Analysis in the Frequency Domain
435(2)
10.2.7 Root Locus
437(1)
10.2.8 Pole Placement
437(1)
10.2.9 Two Useful Tools
437(1)
Problems
438(39)
10.3 Simulink®
477(1)
Problems
478(3)
10.4 Program CC (Comprehensive Control)
481(7)
10.4.1 Transfer Function
481(1)
10.4.2 System Interconnections
482(1)
10.4.3 Time Response
482(1)
10.4.4 Bode Diagram: Gain and Phase Margins
483(1)
10.4.5 Root-Locus Design
484(1)
10.4.6 State-Space Representation
484(2)
10.4.7 Systems with Time Delay
486(2)
10.4.8 State Feedback Pole Placement
488(1)
10.5 Simapp
488(1)
Problems
489(12)
10.6 Scilab
501(6)
Bibliography 507(2)
Index 509
Professor Anastasia Veloni is with Technological Educational Institute of Piraeus, Department of Electronic and Computer Systems, Athens, Greece. She has extensive teaching experience in a variety of courses on the Automatic Control area and is author/co-author of four textbooks, while her research interests lie in the areas of signal processing and automatic control.





Dr. Alex Palamides is with Technological Educational Institute of Piraeus. He has worked at the European Space Agency. He is author/co-author of several research publications in journals and conferences and of two textbooks. His research interests lie in the areas of signal processing, dynamic systems, telecommunications and differential equations.
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