Continuous System Simulation

Chapter 1 The Principles of Modelling: 1.1 Objectives in the modelling of systems; 1.2 Continuous-variable and discrete-event models; 1.3 Types of continuous-variable model; 1.4 Modelling and simulation procedures for continuous-variable models. Chapter 2 An Introduction to Simulation Methods: 2.1 The need for simulation; 2.2 Methods of simulation; 2.2.1 Techniques based on special-purpose simulation hardware; 2.2.2 Techniques based on general-purpose computer hardware; 2.3 A review of simulation applications. Chapter 3 Problem Organisation for Continuous System Simulation: 3.1 Introduction; 3.2 Descriptions for continuous-variable models - reduced and state variable forms; 3.3 Conversion from reduced form to state-variable form; 3.4 Transfer function descriptions; 3.5 Bond graph representations; 3.5.1 One-port components; 3.5.2 Causality in bond graph representations; 3.5.3 Junctions in bond graphs; 3.5.4 Coupling between physical domains; 3.5.5 Signals in bond graphs; 3.5.6 Simulation program development from bond graph models; 3.6 Block diagram and signal flow graph representations; 3.7 Block diagram and signal flow graph methods for transfer function simulation; 3.7.1 The direct construction approach; 3.7.2 The parallel construction approach; 3.7.3 The iterative construction approach; 3.7.4 An example of block diagram construction from a transfer function; 3.8 Modelling of distributed parameter elements; 3.8.1 Introduction; 3.8.2 Pure time delay; 3.8.3 Distributed time delay; 3.8.4 Simulation models involving pure and distributed delay elements; 3.9 Parameter sensitivity analysis methods in system modelling and simulation; 3.9.1 Methods for sensitivity cosystem simulation; 3.9.1.1 Parameter sensitivity of linear models; 3.9.1.2 Parameter sensitivity analysis in models containing nonlinear elements; 3.10 Mathematical models of systems having both discrete and continuous elements. Chapter 4 The Principles of Numerical Modelling: 4.1 An introduction to numerical integration methods; 4.2 Fixed-step integration algorithms - one-step methods; 4.2.1 Introduction; 4.2.2 Taylor series descriptions; 4.2.3 Errors in fixed-step integration methods; 4.2.4 Explicit Runge-Kutta methods; 4.2.5 Trapezoidal integration; 4.3 Fixed-step integration algorithms - multi-step methods; 4.4 Problems of integration step size selection and numerical instability; 4.5 Variable-step integration algorithms; 4.6 Problems of "stiff" models; 4.8 Discontinuities and their effects; 4.9 Numerical methods for discontinuous problems; 4.10 Problems of implicit loop structures. Chapter 5 Sampled-Data Models and Operator Methods: 5.1 Introduction; 5.2 Approximations based on sampled-data theory; 5.3 Modelling of linear systems using sampled-data approximations; 5.3.1 Cascaded elements; 5.3.2 Closed-loop systems; 5.4 Modelling of non-linear systems using sampled-data approximations; 5.4.1 Cascaded elements; 5.4.2 Closed-loop models (part contents).