Description
This book is written covering theory of control systems having the following important features.
Chapter 1: Introduces open loop and closed – loop control systems.
Chapter 2: Deals with mathematical modeling of mechanical systems and electrical systems, analogues systems including both force-voltage and force-current analogy is covered.
Chapter 3: Explains transfer function approach using Block Diagram Algebra.
Chapter 4: Explains signal flow graphs and using them how to determine input-output relationship.
Chapter 5: Deals with time response of second order systems including steady state error.
Chapter 6: Explains Routh-Hurwitz Criterion and analyze stability of systems based on the Routh-Hurwitz criteria.
Chapter 7: Describes Root locus methods of analysis of stability of control systems when open-loop gain K is varied from 0 to ∞.
Chapter 8: Deals frequency response method of stability analysis using Nyquist plot and Bode plots.
Chapter 9: Covers state space analysis of control systems by writing state equations in phase variables, canonical form, from transfer functions. State transition matrix and solution of state equations is covered with number of solved problems.
Table of Content
Chapter 1 Introduction to Linear Control Systems
OpenLoopControlSystem
ClosedLoopControlSystem(FeedbackControlSystem)
Review Questions
Chapter 2 Mathematical Models of Linear Control Systems
2.1 Introduction
2.2 DifferentialEquations ofPhysicalSystems
2.2.1 MechanicalSystems
2.2.2 MechanicalTranslationalSystem
2.2.3 Fixed-axisRotation
2.3 ElectricalSystems
2.4 Analogous Systems
2.4.1 Force-voltageAnalogy
2.4.2 Force-currentAnalogy
Solved Problems
2.5 TransferFunction
2.5.1 Procedure forDerivingTransferFunction
Solved Problems (2.8 to 2.11)
2.5.2 ArmatureControl ofDCMotor
2.5.3 FieldControl ofDCMotor
Review Questions
Chapter 3 Block Diagram Algebra
3.1 Introduction
3.2 BlockDiagramAlgebra
3.2.1 Summing ofSignals
3.2.2 Difference ofSignals
3.2.3 Take ofPoint ofSignals
3.3 BlockDiagramof aClosedLoop (FeedbackControl)System
3.4 BlockDiagramofArmatureControlledDCMotor
3.5 BlockDiagramofFieldControlledDCMotor
3.6 BlockDiagramReductionTechniques
3.6.1 CombiningBlocks inCascade
3.6.2 Moving aSummingPointAfter aBlock
3.6.3 Moving aSummingPointAhead of aBlock
3.6.4 Moving aTake-offPointAfter aBlock
3.6.5 Moving aTake-offPointAhead of aBlock
3.6.6 Eliminating aFeedbackLoop
Solved Problems (3.1 to 3.7)
Review Questions
Chapter 4 Signal Flow Graphs
4.1 Introduction
4.2 Definitions
4.2.1 Input Node (Source)
4.2.2 Output Node (Sink)
4.2.3 Path
4.2.4 ForwardPath
4.2.5 Loop
4.2.6 PathGain
4.2.7 ForwardPathGain
4.2.8 LoopGain
4.3 Mason’sGainFormula
Solved Problems (4.1 to 4.12)
Review Questions
Chapter 5 Time Response of Control Systems
5.1 Introduction
5.2 Typical Test Input Signals
5.2.1 Step Input Function
5.2.2 Ramp Input Function
5.2.3 Parabolic Input Function
5.3 Transient Response of Second Order System
5.4 Time Domain Specifications of aSecondOrderSystem
5.4.1 Delay Time (td)
5.4.2 Rise Time (tr)
5.4.3 Peak Time (tp)
5.4.4 Peak Overshoot (Mp)
5.4.5 Settling Time (ts)
5.4.6 Steady State Error (ess)
5.5 Time Response Specifications of Second Order Systems for a Step Input 5.5.1 Rise Time (tr)
5.5.2 Peak Time (tp)
5.5.3 Peak Overshoot (Mp)
5.5.4 Settling Time (ts)
Solved Problems (5.1 to 5.6)
5.6 SteadyStateError
5.6.1 Steady State Error Due to a Step Input
5.6.2 Steady State Error for Ramp (Velocity) Input
5.6.3 Steady State Error Due to Parabolic Input or Acceleration Input
Solved Problems (5.7 to 5.12)
5.7 ErrorSeries
Solved Problems (5.13 to 5.14)
5.7.1 Error Series Using Binomial Theorem (Alternative Method)
Solved Problems (5.15 to 5.22)
Review Questions
Chapter 6 R−H Criteria
6.1 Introduction
6.2 Routh−HurwitzCriterion
6.2.1 Routh−HurwitzArray
6.2.2 Disadvantages of Routh−HurwitzCriterion
Solved Problems (6.1 to 6.16)
Review Questions
Chapter 7 Root Locus Techniques
7.1 Introduction
Solved Problems (7.1 to 7.16)
Review Questions
Chapter 8 Frequency Response
8.1 Introduction
8.2 Frequency Response Specifications
8.2.1 To Find Expression for the Resonant Frequency ωr
8.2.2 To Find Expression for the Resonant Peak Mr
8.2.3 To Find Expression for the Phase Angle φr
8.3 Nyquist Plot
8.4 Nyquist Stability Criterion
8.4.1 Nyquist Stability Criterion
Solved Problems (8.1 to 8.13)
8.5 BodePlots
8.5.1 GainCrossOverFrequency
8.5.2 PhaseMargin
8.5.3 PhaseCrossoverFrequency
8.5.4 GainMargin
8.5.5 Stability Criteria Using Gain Margin and Phase Margin
8.5.6 GeneralProcedure forConstructingBodePlots
Solved Problems (8.14 to 8.25)
Review Questions
Chapter 9 State Space Analysis
9.1 Introduction
9.2 StateVariables
9.2.1 Definition of State Variables
9.3 StateModel ofLinearSystems
9.3.1 State Model for Single-Input Single-Output Linear Systems
Solved Problems (9.1 to 9.10)
9.4 State-SpaceRepresentation
9.4.1 State-SpaceRepresentationUsingPhaseVariables
Solved Problems (9.11 to 9.18)
9.5 Development of theStateEquations fromTransferFunctions
Solved Problems (9.19 to 9.28)
9.6 State-Space Representation Using Canonical Variables Solved Problems (9.29 to 9.31)
9.7 Solution of theStateEquation forLinearTime-InvariantSystems
9.8 Solution by theLaplaceTransformationMethod
9.9 Properties of State Transition Matrix
Solved Problems (9.32 to 9.42)
Review Questions
Appendix A – Solved Question Papers
Appendix B – Multiple Choice Questions
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