ESSENTIALS OF CONTROL TECHNIQUES--WHAT YOU NEED TO KNOW Introduction: Control in a Nutshell, History, Theory, Art, and Practice The Origins of Control Early Days of Feedback The Origins of Simulation Discrete Time Modeling Time Introduction A Simple System Simulation Choosing a Computing Platform An Alternative Platform Solving the First Order Equation A Second Order Problem Matrix State Equations Analog Simulation Closed Loop Equations Simulation with JavaScript "On-Line Learning Interactive Environment for Simulation" (Jollies)Introduction How a Javascript On-Line Learning Interactive Environment for Simulation (Jollies) Is Made Up Moving Images without an Applet A Generic Simulation Practical Control Systems Introduction The Nature of Sensors Velocity and Acceleration Output Transducers A Control Experiment Adding Control Introduction Vector State Equations Feedback Another Approach A Change of Variables Systems with Time Delay and the PID Controller Simulating the Water Heater Experiment Systems with Real Components and Saturating Signals--Use of the Phase Plane An Early Glimpse of Pole Assignment The Effect of Saturation Meet the Phase Plane Phase Plane for Saturating Drive Bang-Bang Control and Sliding Mode Frequency Domain Methods Introduction Sine-Wave Fundamentals Complex Amplitudes More Complex Still-Complex Frequencies Eigenfunctions and Gain A Surfeit of Feedback Poles and Polynomials Complex Manipulations Decibels and Octaves Frequency Plots and Compensators Second Order Responses Excited Poles Discrete Time Systems and Computer Control Introduction State Transition Discrete Time State Equations and Feedback Solving Discrete Time Equations Matrices and Eigenvectors Eigenvalues and Continuous Time Equations Simulation of a Discrete Time System A Practical Example of Discrete Time Control And There''s More Controllers with Added Dynamics Controlling an Inverted Pendulum Deriving the State Equations Simulating the Pendulum Adding Reality A Better Choice of Poles Increasing the Realism Tuning the Feedback Pragmatically Constrained Demand In Conclusion ESSENTIALS OF CONTROL THEORY--WHAT YOU OUGHT TO KNOW More Frequency Domain Background Theory Introduction Complex Planes and Mappings The Cauchy-Riemann Equations Complex Integration Differential Equations and the Laplace Transform The Fourier Transform More Frequency Domain Methods Introduction The Nyquist Plot Nyquist with M-Circles Software for Computing the Diagrams The "Curly-Squares" Plot Completing the Mapping Nyquist Summary The Nichols Chart The Inverse-Nyquist Diagram Summary of Experimental Methods The Root Locus Introduction Root Locus and Mappings A Root Locus Plot Plotting with Poles and Zeroes Poles and Polynomials Compensators and Other Examples Conclusions Fashionable Topics in Control Introduction Adaptive Control Optimal Control Bang-Bang, Variable Structure, and Fuzzy Control Neural Nets Heuristic and Genetic Algorithms Robust Control and H-infinity The Describing Function Lyapunov Methods ConclusionEnvironment for Simulation" (Jollies)Introduction How a Javascript On-Line Learning Interactive Environment for Simulation (Jollies) Is Made Up Moving Images without an Applet A Generic Simulation Practical Control Systems Introduction The Nature of Sensors Velocity and Acceleration Output Transducers A Control Experiment Adding Control Introduction Vector State Equations Feedback Another Approach A Change of Variables Systems with Time Delay and the PID Controller Simulating the Water Heater Experiment Systems with Real Components and Saturating Signals--Use of the Phase Plane An Early Glimpse of Pole Assignment The Effect of Saturation Meet the Phase Plane Phase Plane for Saturating Drive Bang-Bang Control and Sliding Mode Frequency Domain Methods Introduction Sine-Wave Fundamentals Complex Amplitudes More Complex Still-Complex Frequencies Eigenfunctions and Gain A Surfeit of Feedback Poles and Polynomials Complex Manipulations Decibels and Octaves Frequency Plots and Compensators Second Order Responses Excited Poles Discrete Time Systems and Computer Control Introduction State Transition Discrete Time State Equations and Feedback Solving Discrete Time Equations Matrices and Eigenvectors Eigenvalues and Continuous Time Equations Simulation of a Discrete Time System A Practical Example of Discrete Time Control And There''s More Controllers with Added Dynamics Controlling an Inverted Pendulum Deriving the State Equations Simulating the Pendulum Adding Reality A Better Choice of Poles Increasing the Realism Tuning the Feedback Pragmatically Constrained Demand In Conclusion ESSENTIALS OF CONTROL THEORY--WHAT YOU OUGHT TO KNOW More Frequency Domain Background Theory Introduction Complex Planes and Mappings The Cauchy-Riemann Equations Complex Integration Differential Equations and the Laplace Transform The Fourier Transform More Frequency Domain Methods Introduction The Nyquist Plot Nyquist with M-Circles Software for Computing the Diagrams The "Curly-Squares" Plot Completing the Mapping Nyquist Summary The Nichols Chart The Inverse-Nyquist Diagram Summary of Experimental Methods The Root Locus Introduction Root Locus and Mappings A Root Locus Plot Plotting with Poles and Zeroes Poles and Polynomials Compensators and Other Examples Conclusions Fashionable Topics in Control Introduction Adaptive Control Optimal Control Bang-Bang, Variable Structure, and Fuzzy Control Neural Nets Heuristic and Genetic Algorithms Robust Control and H-infinity The Describing Function Lyapunov Methods Conclusion Systems with Real Components and Saturating Signals--Use of the Phase Plane An Early Glimpse of Pole Assignment The Effect of Saturation Meet the Phase Plane Phase Plane for Saturating Drive Bang-Bang Control and Sliding Mode Frequency Domain Methods Introduction Sine-Wave Fundamentals Complex Amplitudes More Complex Still-Complex Frequencies Eigenfunctions and Gain A Surfeit of Feedback Poles and Polynomials Complex Manipulations Decibels and Octaves Frequency Plots and Compensators Second Order Responses Excited Poles Discrete Time Systems and Computer Control Introduction State Transition Discrete Time State Equations and Feedback Solving Discrete Time Equations Matrices and Eigenvectors Eigenvalues and Continuous Time Equations Simulation of a Discrete Time System A Practical Example of Discrete Time Control And There''s More Controllers with Added Dynamics Controlling an Inverted Pendulum Deriving the State Equations Simulating the Pendulum Adding Reality A Better Choice of Poles Increasing the Realism Tuning the Feedback Pragmatically Constrained Demand In Conclusion ESSENTIALS OF CONTROL THEORY--WHAT YOU OUGHT TO KNOW More Frequency Domain Background Theory Introduction Complex Planes and Mappings The Cauchy-Riemann Equations Complex Integration Differential Equations and the Laplace Transform The Fourier Transform More Frequency Domain Methods Introduction The Nyquist Plot Nyquist with M-Circles Software for Computing the Diagrams The "Curly-Squares" Plot Completing the Mapping Nyquist Summary The Nichols Chart The Inverse-Nyquist Diagram Summary of Experimental Methods The Root Locus Introduction Root Locus and Mappings A Root Locus Plot Plotting with Poles and Zeroes Poles and Polynomials Compensators and Other Examples Conclusions Fashionable Topics in Control Introduction Adaptive Control Optimal Control Bang-Bang, Variable Structure, and Fuzzy Control Neural Nets Heuristic and Genetic Algorithms Robust Control and H-infinity The Describing Function Lyapunov Methods ConclusionDiscrete Time Systems and Computer Control Introduction State Transition Discrete Time State Equations and Feedback Solving Discrete Time Equations Matrices and Eigenvectors Eigenvalues and Continuous Time Equations Simulation of a Discrete Time System A Practical Example of Discrete Time Control And There''s More Controllers with Added Dynamics Controlling.