Digital control applications : illustrated with MATLAB /: illustrated with MATLAB. (2015)

• Record Type: Book
• Further Information: Note: Hemchandra Madhusudan Shertukde.
• Authors: Shertukde, Hemchandra Madhusudan
• Contents: Preface Author Digital Control Introduction and Overview Overview of Process Control: Historical Perspective Feedback Control Structures for Continuous Systems: Mathematical Representation of (Sub) System Dynamics Basic Feedback Control Loop: Single Input Single Output (SISO) System Goal Continuous Control Structures: Output Feedback Continuous Control Structures: State Variable Feedback Digital Control Basic Structure Relationship of Time Signals and Samples A Typical Algorithm for H Differences in Digital versus Analog Control Methods Computing the Time Response of a Linear, Time Invariant, Discrete Model to an Arbitrary Input Review of z -Transforms for Discrete Systems Some Useful Results for One-Sided z-Transforms How to Find y(k) Using z -Transforms Use of z -Transforms to Solve n th Order Difference Equations Stability of the Time Response Continuous versus Discrete Relationships s -to-z Plane Mappings LOCI of Constant Damping Ratio (ζ) and Natural Frequency (ωn ) in s -Plane to z -Plane Mapping Signal Sampling and Data Reconstruction Impulse Sampling Laplace Transform of a Sampled Signal Nyquist Theorem Nyquist Result Recovering f(t) from f*(t) Aliasing How to Avoid Aliasing Interpretation of Aliasing in s -Plane Example of Aliasing in a Control Setting Problems Mathematical Models of Discrete Systems Discrete Time System Representations Difference Equation Form Signal Flow Diagram and Analysis State Equations from Node Equations State Variable Forms: I State Variable Forms Transfer Function of a State-Space Model State Variable Transformation Example Obtaining the Time Response X(k) Computing G(z ) from A, B, C, d Leverier Algorithm Implementation Analysis of the Basic Digital Control Loop Discrete System Time Signals Models for Equivalent Discrete System, GÞ(Z) Computing Φ and Γ (or Ψ) Algorithm for Obtaining Ψ(h) and Φ, Γ Some Discussion on the Selection of h Examples Discrete System Equivalents: Transfer Function Approach Relationship between G(s ) and GÞ(z ) Comparison of a Continuous and Discrete Equivalent Bode Plot Effects of Time Step h on GÞ (z = e jωh ) Anatomy of a Discrete Transfer Function Modeling a Process with Delay in Control, τ = Mh + ϵ State Model for a Process with Fractional Delay ϵ < h State Model for a Process with Large Delay Transfer Function Approach to Modeling a Process with Delay Problems Performance Criteria and the Design Process Design Approaches and the Design Process Elements of Feedback System Design Elements of FB System Design II Closed-Loop System Zeros Design Approaches to be Considered Performance Measure for a Design Process Stability of the Closed-Loop System Speed of Transient Response Sensitivity and Return Difference Example: Evaluation and Simulation Simulation of Closed-Loop Time Response Simulation Structure Flow Diagram for Simulation Program for a Control Algorithm Modifications to Time Delay Control (Cntrl) Algorithm Simulation Simulation of Time Delay, τ Required Modifications to Simulation Flow Diagram Tools for Control Design and Analysis Overview of Classical Design Techniques (Continuous Time) Lag Compensator Design, H(s) Lead Compensator Design Example of Lag Compensator Design Lag Compensation Design Example of Lead Compensator Design Lead Compensation Design Critique of Continuous Time H(s) Design Problems Compensator Design via Discrete Equivalent Stability of Discrete Systems Jury Test Stability with Respect to a Parameter β Stability with Respect to Multiple Parameters: α, β A More Complicated, State-Space Example Example State-Space Example Plots Fundamentals of Digital Compensator Design H(z) Design via Discrete Equivalent: H(s) − HÞ(z) Forms of Discrete Integration General Algorithm for Tustin Transformation Tustin Equivalence with Frequency Prewarping Discrete Equivalent Designs Summary of Discrete Equivalence Methods Example of a Discrete Equivalent Design Discrete Equivalent Computations Evaluation of Digital Control Performance Continuous versus Discrete System Loop Gain Methods to Improve Discrete CL Performance Problems Compensator Design via Direct Methods Direct Design Compensation Methods RL Design of H(z) Example of Design Approach: Antenna Positioning Control RL Redesign (After Much Trial and Error) An Example of a Poor Design Choice w -Plane Design of H(z) Design Approach General z → w Plane Mapping Example of Design Approach Frequency Domain Evaluation PID Design Digital PID Controller Integral Windup Modifications Example Other PID Considerations PID Initial Tuning Rules Real-Time PID Control of an Inverted Pendulum Using FEEDBACK≪® : Page 26 of 33–936 S of FEEDBACK≪® Document A Technique for System Control with Time Delay Smith Predictor/Compensator Example of Smith Predictor Motor-Positioning Example with τ 1 S, h = 1 S (i.e., M = 1) Implementation of High-Order Digital Compensators Summary of Compensator Design Methods Problems State-Variable Feedback Design Methods Linear State-Variable Feedback Control in State-Space Controllability Open-Loop versus CL Control Discrete SVFB Design Methods Continuous → Discrete Gain Transformation Methods Average Gain Method Example: Satellite Motor Control State Variable Feedback Control: Direct Pole Placement Discrete System Design Pole Placement Methods Transformation Approach for Pole Placement Ackermann Formula Algorithm to Obtain pd (Φ) CL System Zeros Inverted Pendulum on a Cart Equivalent Discrete Design u(k) = −KÞX(k) Direct Digital Design: Inverted Pendulum CL Simulation Inverted Pendulum X(0) = [0.2, 0, 1, 0]′ Deadbeat Controller Inverted Pendulum X(0) = [0.2, 0, 1, 0]″ Summary of Pole Placement Design by SVFB SVFB with Time Delay in Control: τ = Mh + ε State Prediction Implementation of the Delay Compensator: General Case Example—Inverted Pendulum Comparison with Smith Predictor Structure (ε = 0) Command Inputs to SVFB Systems &lt
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 629.8; Digital control systems; Numerical analysis -- Computer programs
• Languages: English
• ISBNs: 9781482236729; 9781482236705; 9781482236712
• Related ISBNs: 9781482236699
• Notes: Note: Description based on CIP data; item not viewed.
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