Simulation of Dynamic Systems with MATLAB® and Simulink®. (2017)

• Record Type: Book
• Other Names: Klee, Harold; Allen, Randal
• Contents: Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Foreword -- Preface -- About the Authors -- Chapter 1: Mathematical Modeling -- 1.1 Introduction -- 1.1.1 Importance of Models -- 1.2 Derivation of A Mathematical Model -- 1.3 Difference Equations -- 1.4 First Look at Discrete-Time Systems -- 1.4.1 Inherently Discrete-Time Systems -- 1.5 Case Study: Population Dynamics (Single Species) -- Chapter 2: Continuous-Time Systems -- 2.1 Introduction -- 2.2 First-Order Systems -- 2.2.1 Step Response of First-Order Systems -- 2.3 Second-Order Systems -- 2.3.1 Conversion of Two First-Order Equations to a Second-Order Model -- 2.4 Simulation Diagrams -- 2.4.1 Systems of Equations -- 2.5 Higher-Order Systems -- 2.6 State Variables -- 2.6.1 Conversion from Linear State Variable Form to Single Input-Single Output Form -- 2.6.2 General Solution of the State Equations -- 2.7 Nonlinear Systems -- 2.7.1 Friction -- 2.7.2 Dead Zone and Saturation -- 2.7.3 Backlash -- 2.7.4 Hysteresis -- 2.7.5 Quantization -- 2.7.6 Sustained Oscillations and Limit Cycles -- 2.8 Case Study: Submarine Depth Control System -- Chapter 3: Elementary Numerical Integration -- 3.1 Introduction -- 3.2 Discrete-Time System Approximation of a Continuous First-Order System -- 3.3 Euler Integration -- 3.3.1 Explicit Euler Integration -- 3.3.2 Implicit Euler Integration -- 3.4 Trapezoidal Integration -- 3.5 Discrete Approximation of Nonlinear First-Order Systems -- 3.6 Discrete State Equations -- 3.7 Improvements to Euler Integration -- 3.7.1 Improved Euler Integration -- 3.7.2 Modified Euler Integration -- 3.7.3 Discrete-Time System Matrices -- 3.8 Case Study: Vertical Ascent of a Diver -- Chapter 4: Linear Systems Analysis -- 4.1 Introduction -- 4.2 Laplace Transform -- 4.2.1 Properties of the Laplace Transform -- 4.2.2 Inverse Laplace Transform. 4.2.3 Laplace Transform of the System Response -- 4.2.4 Partial Fraction Expansion -- 4.3 Transfer Function -- 4.3.1 Impulse Function -- 4.3.2 Relationship between Unit Step Function and Unit Impulse Function -- 4.3.3 Impulse Response -- 4.3.4 Relationship between Impulse Response and Transfer Function -- 4.3.5 Systems with Multiple Inputs and Outputs -- 4.3.6 Transformation from State Variable Model to Transfer Function -- 4.4 Stability of Linear Time Invariant Continuous-Time Systems -- 4.4.1 Characteristic Polynomial -- 4.4.2 Feedback Control System -- 4.5 Frequency Response of LTI Continuous-Time Systems -- 4.5.1 Stability of Linear Feedback Control Systems Based on Frequency Response -- 4.6 z-Transform -- 4.6.1 Discrete-Time Impulse Function -- 4.6.2 Inverse z-Transform -- 4.6.3 Partial Fraction Expansion -- 4.7 z-Domain Transfer Function -- 4.7.1 Nonzero Initial Conditions -- 4.7.2 Approximating Continuous-Time System Transfer Functions -- 4.7.3 Simulation Diagrams and State Variables -- 4.7.4 Solution of Linear Discrete-Time State Equations -- 4.7.5 Weighting Sequence (Impulse Response Function) -- 4.8 Stability of LTI Discrete-Time Systems -- 4.8.1 Complex Poles of H(z) -- 4.9 Frequency Response of Discrete-Time Systems -- 4.9.1 Steady-State Sinusoidal Response -- 4.9.2 Properties of the Discrete-Time Frequency Response Function -- 4.9.3 Sampling Theorem -- 4.9.4 Digital Filters -- 4.10 Control System Toolbox -- 4.10.1 Transfer Function Models -- 4.10.2 State-Space Models -- 4.10.3 State-Space/Transfer Function Conversion -- 4.10.4 System Interconnections -- 4.10.5 System Response -- 4.10.6 Continuous-/Discrete-Time System Conversion -- 4.10.7 Frequency Response -- 4.10.8 Root Locus -- 4.11 Case Study: Longitudinal Control of an Aircraft -- 4.11.1 Digital Simulation of Aircraft Longitudinal Dynamics. 4.11.2 Simulation of State Variable Model -- 4.12 Case Study: Notch Filter for Electrocardiograph Waveform -- 4.12.1 Multinotch Filters -- Chapter 5: Simulink® -- 5.1 Introduction -- 5.2 Building a Simulink Model -- 5.2.1 The Simulink Library -- 5.2.2 Running a Simulink Model -- 5.3 Simulation of Linear Systems -- 5.3.1 Transfer Fcn Block -- 5.3.2 State-Space Block -- 5.4 Algebraic Loops -- 5.4.1 Eliminating Algebraic Loops -- 5.4.2 Algebraic Equations -- 5.5 More Simulink Blocks -- 5.5.1 Discontinuities -- 5.5.2 Friction -- 5.5.3 Dead Zone and Saturation -- 5.5.4 Backlash -- 5.5.5 Hysteresis -- 5.5.6 Quantization -- 5.6 Subsystems -- 5.6.1 PHYSBE -- 5.6.2 Car-Following Subsystem -- 5.6.3 Subsystem Using Fcn Blocks -- 5.7 Discrete-Time Systems -- 5.7.1 Simulation of an Inherently Discrete-Time System -- 5.7.2 Discrete-Time Integrator -- 5.7.3 Centralized Integration -- 5.7.4 Digital Filters -- 5.7.5 Discrete-Time Transfer Function -- 5.8 MATLAB and Simulink Interface -- 5.9 Hybrid Systems: Continuous- and Discrete-Time Components -- 5.10 Monte Carlo Simulation -- 5.10.1 Monte Carlo Simulation Requiring Solution of a Mathematical Model -- 5.11 Case Study: Pilot Ejection -- 5.12 Case Study: Kalman Filtering -- 5.12.1 Continuous-Time Kalman Filter -- 5.12.2 Steady-State Kalman Filter -- 5.12.3 Discrete-Time Kalman Filter -- 5.12.4 Simulink Simulations -- 5.12.5 Summary -- 5.13 Case Study: Cascaded Tanks with Flow Logic Control -- Chapter 6: Intermediate Numerical Integration -- 6.1 Introduction -- 6.2 Runge-Kutta (RK) (One-Step Methods) -- 6.2.1 Taylor Series Method -- 6.2.2 Second-Order Runge-Kutta Method -- 6.2.3 Truncation Errors -- 6.2.4 High-Order Runge-Kutta Methods -- 6.2.5 Linear Systems: Approximate Solutions Using RK Integration -- 6.2.6 Continuous-Time Models with Polynomial Solutions -- 6.2.7 Higher-Order Systems -- 6.3 Adaptive Techniques. 6.3.1 Repeated RK with Interval Halving -- 6.3.2 Constant Step Size (T = 1 min) -- 6.3.3 Adaptive Step Size (Initial T = 1 min) -- 6.3.4 RK-Fehlberg -- 6.4 Multistep Methods -- 6.4.1 Explicit Methods -- 6.4.2 Implicit Methods -- 6.4.3 Predictor-Corrector Methods -- 6.5 Stiff Systems -- 6.5.1 Stiffness Property in First-Order System -- 6.5.2 Stiff Second-Order System -- 6.5.3 Approximating Stiff Systems with Lower-Order Nonstiff System Models -- 6.6 Lumped Parameter Approximation of Distributed Parameter Systems -- 6.6.1 Nonlinear Distributed Parameter System -- 6.7 Systems with Discontinuities -- 6.7.1 Physical Properties and Constant Forces Acting on the Pendulum Bob -- 6.8 Case Study: Spread of an Epidemic -- Chapter 7: Simulation Tools -- 7.1 Introduction -- 7.2 Steady-State Solver -- 7.2.1 Trim Function -- 7.2.2 Equilibrium Point For a Nonautonomous System -- 7.3 Optimization of Simulink Models -- 7.3.1 Gradient Vector -- 7.3.2 Optimizing Multiparameter Objective Functions Requiring Simulink Models -- 7.3.3 Parameter Identification -- 7.3.4 Example of a Simple Gradient Search -- 7.3.5 Optimization of Simulink Discrete-Time System Models -- 7.4 Linearization -- 7.4.1 Deviation Variables -- 7.4.2 Linearization of Nonlinear Systems in State Variable Form -- 7.4.3 Linmod Function -- 7.4.4 Multiple Linearized Models for a Single System -- 7.5 Adding Blocks to The Simulink Library Browser -- 7.5.1 Introduction -- 7.5.2 Summary -- 7.6 Simulation Acceleration -- 7.6.1 Introduction -- 7.6.2 Profiler -- 7.6.3 Summary -- 7.7 Black Swans -- 7.7.1 Introduction -- 7.7.2 Modeling Rare Events -- 7.7.3 Measurement of Portfolio Risk -- 7.7.4 Exposing Black Swans -- 7.7.4.1 Percent Point Functions (PPFs) -- 7.7.4.2 Stochastic Optimization -- 7.7.5 Summary -- 7.7.6 Acknowledgements -- 7.7.7 References. 7.7.8 Appendix-Mathematical Properties of the Log-Stable Distribution -- 7.8 The SIPmath Standard -- 7.8.1 Introduction -- 7.8.2 Standard Specification -- 7.8.3 SIP Details -- 7.8.4 SLURP Details -- 7.8.5 SIPs/SLURPs and MATLAB -- 7.8.6 Summary -- 7.8.7 Appendix -- 7.8.8 References -- Chapter 8: Advanced Numerical Integration -- 8.1 Introduction -- 8.2 Dynamic Errors (Characteristic Roots, Transfer Function) -- 8.2.1 Discrete-Time Systems and the Equivalent Continuous-Time Systems -- 8.2.2 Characteristic Root Errors -- 8.2.3 Transfer Function Errors -- 8.2.4 Asymptotic Formulas for Multistep Integration Methods -- 8.2.5 Simulation of Linear System with Transfer Function H(s) -- 8.3 Stability of Numerical Integrators -- 8.3.1 Adams-Bashforth Numerical Integrators -- 8.3.2 Implicit Integrators -- 8.3.3 Runga-Kutta (RK) Integration -- 8.4 Multirate Integration -- 8.4.1 Procedure for Updating Slow and Fast States: Master/Slave = RK-4/RK-4 -- 8.4.2 Selection of Step Size Based on Stability -- 8.4.3 Selection of Step Size Based on Dynamic Accuracy -- 8.4.4 Analytical Solution for State Variables -- 8.4.5 Multirate Integration of Aircraft Pitch Control System -- 8.4.6 Nonlinear Dual Speed Second-Order System -- 8.4.7 Multirate Simulation of Two-Tank System -- 8.4.8 Simulation Trade-Offs with Multirate Integration -- 8.5 Real-Time Simulation -- 8.5.1 Numerical Integration Methods Compatible with Real-Time Operation -- 8.5.2 RK-1 (Explicit Euler) -- 8.5.3 RK-2 (Improved Euler) -- 8.5.4 RK-2 (Modified Euler) -- 8.5.5 RK-3 (Real-Time Incompatible) -- 8.5.6 RK-3 (Real-Time Compatible) -- 8.5.7 RK-4 (Real-Time Incompatible) -- 8.5.8 Multistep Integration Methods -- 8.5.9 Stability of Real-Time Predictor-Corrector Method -- 8.5.10 Extrapolation of Real-Time Inputs -- 8.5.11 Alternate Approach to Real-Time Compatibility: Input Delay.
• Edition: 3rd ed
• Publisher Details: Milton : Chapman and Hall/CRC
• Publication Date: 2017
• Copyright Date: 2018
• Extent: 1 online resource (853 pages)
• Subjects: 003.3; Computer simulation; TECHNOLOGY & ENGINEERING -- Electrical; TECHNOLOGY & ENGINEERING -- Mechanical; Computer simulation; Electronic books
• Languages: English
• ISBNs: 9781498787802; 1498787800
• Related ISBNs: 9781498787772
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.