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  • Introduction to control system,Modeling in the Frequency Domain
    • Introduction to Control System
    • Control System Definition
    • advance control system
    • A History of Control Systems
    • Open-Loop control Systems (Nonfeedback Systems)
    • Closed-Loop Control Systems (Feedback Control Systems)
    • Effect of Feedback on Overall Gain
    • Effect of Feedback on Stability
    • Effect of Feedback on External Disturbance or Noise
    • Types of feedback control system
    • Linear versus Nonlinear Control Systems
    • Time-Invariant versus Time-Varying Systems
    • Computer-Controlled Systems, Analysis and Design Objectives
    • Transient Response, Steady-State Response and Stability
    • Computer Aided Design
    • The Control Systems Engineer
    • The Design Process
    • Introduction to Modeling in the Frequency Domain
    • Laplace Transform
    • Partial-Fraction Expansion
    • Transfer Function
    • Electrical Network Transfer Functions
    • Simple Circuits via Mesh Analysis
    • COMPLEX-VARIABLE CONCEPT
    • Functions of a Complex Variable
    • Polar Representation
    • FREQUENCY-DOMAIN PLOTS
    • Polar plots
    • Bode Plot (Corner Plot or Asymptotic Plot)
    • Magnitude-Phase Plot
    • Gain- and Phase-Crossover Points
    • Minimum-Phase and Nonminimum-Phase Functions
    • INTRODUCTION TO DIFFERENTIAL EQUATIONS
    • Linear Ordinary Differential Equations
    • Nonlinear Differential Equations
    • First-Order Differential Equations: State Equations
    • Definition of State Variables
    • Laplace Transform
    • Inverse Laplace Transformation
    • INVERSE LAPLACE TRANSFORM BY PARTIAL-FRACTION EXPANSION
    • APPLICATION OF THE LAPLACE TRANSFORM TO THE SOLUTION OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS
    • First-Order Prototype System
    • Second-Order Prototype System
    • IMPULSE RESPONSE AND TRANSFER FUNCTIONS OF LINEAR SYSTEMS
    • Transfer Function (Single-Input, Single-Output Systems)
    • STABILITY OF LINEAR CONTROL SYSTEMS
    • BOUNDED-INPUT, BOUNDED-OUTPUT (BIBO) STABILITY CONTINUOUS-DATA SYSTEMS
    • RELATIONSHIP BETWEEN CHARACTERISTIC EQUATION ROOTS AND STABILITY
    • ZERO-INPUT AND ASYMPTOTIC STABILITY OF CONTINUOUS-DATA SYSTEMS
    • METHODS OF DETERMINING STABILITY
    • Simple Circuits via Mesh Analysis
    • Complex Circuits via Mesh Analysis
    • Complex Circuits via Nodal Analysis
    • Operational Amplifiers
    • Inverting Operational Amplifier
    • Noninverting Operational Amplifier
    • Translational Mechanical System Transfer Functions
    • Rotational Mechanical System Transfer Functions
    • Transfer Functions for Systems with Gears
    • Electromechanical System Transfer Functions
    • Electric Circuit Analogs
    • Series Analog
    • Parallel Analog
    • Nonlinearities
    • Linearization

  • Modeling in the Time Domain,Time Response,Reduction of Multiple Subsystems
    • Introduction to Modeling in the Time Domain
    • The General State-Space Representation
    • Applying the State-Space Representation
    • Minimum Number of State Variables
    • Converting a Transfer Function to State Space
    • Converting from State Space to a Transfer Function
    • Linearization in the Time Domain
    • Introduction to Time Response
    • Poles, Zeros, and System Response
    • First-Order Systems
    • First-Order Transfer Functions via Testing
    • Second-Order Systems: Introduction
    • The General Second-Order System
    • Underdamped Second-Order Systems
    • System Response with Additional Poles
    • System Response with Zeros
    • Effects of Nonlinearities upon Time Response
    • Laplace Transform Solution of State Equations
    • Eigen values and Transfer Function Poles
    • Time Domain Solution of State Equations
    • Introduction to Reduction of Multiple Subsystems
    • Block Diagrams
    • Relation between Mathematical Equations and Block Diagrams
    • Cascade Form
    • Parallel Form
    • Feedback Form
    • Moving Blocks to Create Familiar Forms
    • Analysis and Design of Feedback Systems
    • Signal-Flow Graphs
    • Mason's Rule
    • Alternative Representations in State Space
    • Cascade Form (State space)
    • Parallel Form (State space)
    • Controller Canonical Form
    • Observer Canonical Form
    • Similarity Transformations
    • Diagonalizing a System Matrix

  • Root Locus Techniques,Stability,Steady-State Errors
    • Introduction to Root Locus Techniques
    • The Control System Problem
    • Vector Representation of Complex Numbers
    • Defining the Root Locus
    • Properties of the Root Locus
    • Sketching the Root Locus
    • Refining the Sketch
    • Real-Axis Breakaway and Break-In Points
    • The jω-Axis Crossings
    • Angles of Departure and Arrival
    • Plotting and Calibrating the Root Locus
    • Basic Rules for Sketching the Root Locus
    • Additional Rules for Refining the Sketch
    • Transient Response Design via Gain Adjustment
    • Generalized Root Locus
    • Root Locus for Positive-Feedback Systems
    • Pole Sensitivity
    • Introduction to Stability
    • Routh-Hurwitz criterion
    • Interpreting the Basic Routh Table
    • Routh-Hurwitz Criterion: Special Cases
    • Entire Row is Zero
    • Stability in State Space
    • Introduction to Steady-State Errors
    • Application to Stable Systems & Evaluating Steady-State Errors
    • Sources of Steady-State Error
    • Steady-State Error for Unity Feedback Systems
    • Steady-State Error in Terms of T(s)
    • Steady-State Error in Terms of G(s)
    • Static Error Constants and System Type
    • Static Error Constants
    • System Type
    • Steady-State Error Specifications
    • Steady-State Error for Disturbances
    • Steady-State Error for Nonunity Feedback Systems
    • Steady-State Error for Nonunity Feedback Systems with disturbance
    • Sensitivity
    • Steady-State Error for Systems in State Space (Analysis via final value theorem)
    • Steady-State Error for Systems in State Space analysis via Input Substitution

  • Design via Root Locus,Frequency Response Techiniques
    • Introduction to Design via Root Locus
    • Improving Transient Response
    • Improving Steady-State Error
    • Improving Steady-State Error via Cascade Compensation
    • Ideal Integral Compensation (PI)
    • Lag Compensation
    • Improving Transient Response via Cascade Compensation
    • Ideal Derivative Compensation (PD)
    • Lead Compensation
    • Improving Steady-State Error and Transient Response
    • PID Controller Design
    • Lag-Lead Compensator Design
    • Notch Filter
    • Types of cascade compensators
    • Feedback Compensation
    • Active-Circuit Realization
    • Passive-Circuit Realization
    • Introduction to Frequency Response Techniques
    • The Concept of Frequency Response
    • Analytical Expressions for Frequency Response
    • Plotting Frequency Response
    • Asymptotic Approximations: Bode Plots
    • Bode Plots for G(s) = (s + a)
    • Bode Plots for G(s) = 1 / (s+ a)
    • Bode Plots for G(s) = s and G(s) = 1/s
    • Bode Plots for G(s) = s2 + 2ԑῳn + ῳ2n
    • Corrections to Second-Order Bode Plots
    • Bode Plots for G(s) = 1/(s2 + 2ԑῳns + ῳ2n)
    • Introduction to the Nyquist Criterion
    • Derivation of the Nyquist Criterion
    • Applying the Nyquist Criterion to Determine Stability
    • Sketching the Nyquist Diagram
    • Stability via the Nyquist Diagram
    • Stability via Mapping Only the Positive jω-Axis
    • Gain Margin and Phase Margin via the Nyquist Diagram
    • Stability, Gain Margin, and Phase Margin via Bode Plots
    • Relation between Closed-Loop Transient and Closed-Loop Frequency Responses
    • Response Speed and Closed-Loop Frequency Response
    • Relation between Closed- and Open-Loop Frequency Responses
    • Nichols Charts
    • Relation between Closed-Loop Transient and Open-Loop Frequency Responses
    • Damping Ratio from Phase Margin
    • Response Speed from Open-Loop Frequency Response
    • Steady-State Error Characteristics from Frequency Response
    • Velocity Constant
    • Acceleration Constant
    • Systems with Time Delay
    • Obtaining Transfer Functions Experimentally

  • Design via Frequency Response,Design via State Space,Digital Control Systems
    • Introduction to Design via Frequency Response
    • Transient Response via Gain Adjustment
    • Lag Compensation
    • Lead Compensation
    • Lead Compensator Frequency Response
    • Lag-Lead Compensation
    • Introduction to Design via State Space
    • Controller Design
    • Topology for Pole Placement
    • Pole Placement for Plants in Phase-Variable Form
    • Controllability
    • Controllability by Inspection
    • The Controllability Matrix
    • Alternative Approaches to Controller Design
    • Observer Design
    • Observability
    • Observability by Inspection
    • The Observability Matrix
    • Alternative Approaches to Observer Design
    • Steady-State Error Design via Integral Control
    • Introduction to Digital Control Systems
    • Advantages of Digital Computers
    • Digital-to-Analog Conversion
    • Analog-to-Digital Conversion
    • Modeling the Digital Computer & Modeling the Sampler
    • Modeling the Zero-Order Hold
    • The z-Transform
    • The Inverse z-Transform
    • Transfer Functions
    • Derivation of the Pulse Transfer Function
    • Block Diagram Reduction
    • Stability
    • Digital System Stability via the z-Plane
    • Bilinear Transformations
    • Digital System Stability via the s-Plane
    • Steady-State Errors
    • Unit Step, ramp and parabolic Input
    • Transient Response on the Z-Plane
    • Gain Design on the z-Plane
    • Cascade Compensation via the s-Plane
    • Implementing the Digital Compensator

Branch : Electrical and Electronics Engineering | Subject : Advance control system
Design via Frequency Response,Design via State Space,Digital Control Systems
  • Introduction to Design via Frequency Response

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  • Transient Response via Gain Adjustment

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  • Lag Compensation

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  • Lead Compensation

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  • Lead Compensator Frequency Response

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  • Lag-Lead Compensation

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  • Introduction to Design via State Space

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  • Controller Design

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  • Topology for Pole Placement

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  • Pole Placement for Plants in Phase-Variable Form

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  • Controllability

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  • Controllability by Inspection

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  • The Controllability Matrix

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  • Alternative Approaches to Controller Design

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  • Observer Design

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  • Observability

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  • Observability by Inspection

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  • The Observability Matrix

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  • Alternative Approaches to Observer Design

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  • Steady-State Error Design via Integral Control

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  • Introduction to Digital Control Systems

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  • Advantages of Digital Computers

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  • Digital-to-Analog Conversion

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  • Analog-to-Digital Conversion

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  • Modeling the Digital Computer & Modeling the Sampler

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  • Modeling the Zero-Order Hold

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  • The z-Transform

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  • The Inverse z-Transform

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  • Transfer Functions

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  • Derivation of the Pulse Transfer Function

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  • Block Diagram Reduction

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  • Stability

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  • Digital System Stability via the z-Plane

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  • Bilinear Transformations

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  • Digital System Stability via the s-Plane

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  • Steady-State Errors

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  • Unit Step, ramp and parabolic Input

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  • Transient Response on the Z-Plane

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  • Gain Design on the z-Plane

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  • Cascade Compensation via the s-Plane

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  • Implementing the Digital Compensator

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