| Introduction to Ship Motion Control | p. 1 |
| The Fundamental Problem of Ship Motion Control | p. 2 |
| Ship Motion Control Problems and Control Designs Addressed in this Book | p. 4 |
| Mathematical Models for Control | p. 5 |
| State-space and Input-output Models Revisited | p. 6 |
| State-Space Models | p. 8 |
| Laplace-Transform Models | p. 10 |
| Computer-Controlled Systems | p. 11 |
| TheRoadAhead | p. 13 |
| Ship Modelling for Control | |
| Environmental Disturbances | p. 17 |
| Basic Hydrodynamic Assumptions | p. 17 |
| Fluid Flow and Continuity | p. 17 |
| Material Derivative | p. 18 |
| Navier-Stokes Equations | p. 19 |
| Potential Flows and The Bernoulli Equation | p. 19 |
| Regular Waves in Deep Water | p. 20 |
| Encounter Frequency | p. 23 |
| Ocean Waves and Wave Spectra | p. 25 |
| Statistics of Wave Period | p. 27 |
| Statistics of Maxima | p. 27 |
| A Note on the Units of the Spectral Density | p. 30 |
| Standard Spectrum Formulae | p. 31 |
| Linear Representation of Long-crested Irregular Seas | p. 34 |
| The Encounter Spectrum | p. 36 |
| Short-crested Irregular Seas | p. 36 |
| Long-term Statistics of Ocean Waves | p. 38 |
| Simulation of Wave Elevation | p. 39 |
| Kinematics of Ship Motion | p. 45 |
| Reference Frames | p. 45 |
| Vector Notation | p. 48 |
| Coordinates Used to Describe Ship Motion | p. 48 |
| Manoeuvring and Seakeeping | p. 48 |
| Manoeuvring Coordinates and Reference Frames | p. 49 |
| Seakeeping Coordinates and Reference Frames | p. 50 |
| Angles About the z-axis | p. 52 |
| Velocity Transformations | p. 53 |
| Rotation Matrices | p. 53 |
| Kinematic Transformation Between the b- and the n-frame | p. 54 |
| Kinematic Transformation Between the b- and the h-frame | p. 55 |
| Ship Kinetics | p. 59 |
| An Overview of Ship Modeling for Control | p. 59 |
| Seakeeping Theory Models | p. 62 |
| Equations of Motion and Hydrodynamic Forces in the h-frame | p. 63 |
| Wave Force Response Amplitude Operator (Force RAO) | p. 66 |
| Motion Response Amplitude Operator (Motion RAO) | p. 67 |
| Ship Motion Spectra and Statistics of Ship Motion | p. 71 |
| Time-series of Ship Motion using Seakeeping Models | p. 73 |
| Manoeuvring Theory Models | p. 79 |
| Rigid Body Dynamics in the b-frame | p. 79 |
| Manoeuvring Hydrodynamics | p. 82 |
| Nonlinear Manoeuvring State-space Models | p. 83 |
| Linear Manoeuvring State-space Models | p. 85 |
| A Force-superposition Model for Slow Manoeuvring in a Seaway | p. 86 |
| Time Domain Seakeeping Models in the h-frame | p. 86 |
| Seakeeping Model in the b-frame | p. 89 |
| A Unified Nonlinear State-pace Model | p. 91 |
| Control Surfaces (Actuators) | p. 93 |
| Geometry of Fin and Rudder Hydrofoils | p. 93 |
| Hydrodynamic Forces Acting on a Foil | p. 93 |
| Unsteady Hydrodynamics | p. 97 |
| Forces and Moments Acting on the Hull | p. 101 |
| Rudder | p. 102 |
| Rudder-Propeller Interaction | p. 104 |
| Fins | p. 106 |
| Hydraulic Machinery | p. 108 |
| Introduction to Ship Roll Stabilisation | |
| Ship Roll Stabilisation | p. 113 |
| Effects of Roll Motion on Ship Performance | p. 113 |
| Damping or Stabilising Systems? | p. 113 |
| Ship Roll Stabilisation Techniques | p. 115 |
| Gyroscopes | p. 116 |
| Bilge Keels | p. 116 |
| Anti-rolling Tanks | p. 117 |
| Active Fin Stabilisers | p. 119 |
| Rudder Roll Stabilisation RRS | p. 120 |
| A Note on the Early Days of Ship Roll Stabilisation | p. 122 |
| Ship Motion Performance | p. 127 |
| Reduction of Roll at Resonance-RRR | p. 127 |
| Reduction of Statistics of Roll-RSR | p. 128 |
| Reduction of Probability of Roll Peak Occurrence-RRO | p. 128 |
| Increase in Percentage of Time Operable-IPTO | p. 130 |
| Seakeeping Indices Affected by Roll | p. 135 |
| Lateral Force Estimator-LFE | p. 136 |
| Motion-induced Interruptions-MII | p. 138 |
| Motion Sickness Incidence-MSI | p. 140 |
| Implications for Stabiliser Control System Design | p. 141 |
| Part II Summary and Discussion | p. 142 |
| Performance Limitations in Feedback Control with Application to Ship Roll Stabilisers | |
| Linear Performance Limitations | p. 145 |
| Introduction to Fundamental Limitation in Feedback Control Systems | p. 146 |
| Non-minimum Phase Dynamics in Ship Response | p. 150 |
| Deterministic SISO Performance Limitations of RRS | p. 154 |
| Sensitivity Integrals-Frequency Domain Approach | p. 155 |
| Performance Trade-offs of Non-adaptive Feedback Controllers for RRS | p. 159 |
| Stochastic SISO Performance Limitations of RRS | p. 161 |
| Limiting Optimal Control Performance Limitations | p. 161 |
| Stochastic SISO Results and RRS | p. 164 |
| Optimal Roll Reduction vs. Yaw Interference Trade-off | p. 165 |
| SITO Control Problems in the Frequency Domain | p. 165 |
| Limiting Stochastic LQR | p. 167 |
| Comments on the Applicability of Rudder Stabilisers | p. 171 |
| NMP Dynamics in Fin Stabilizers | p. 175 |
| Constrained Performance Limitations | p. 177 |
| Input Constraints and Saturation Effects | p. 177 |
| Input Constraints and Performance at a Single Frequency | p. 178 |
| Magnitude Limitations | p. 179 |
| Rate Limitations | p. 180 |
| Application to Rudder-Based Stabilizers | p. 181 |
| Stochastic Approach: Variance Constraints | p. 182 |
| IVC Optimal Control Problem Formulation | p. 182 |
| IVC Application to RRS | p. 185 |
| Part III Summary and Discussion | p. 188 |
| Control System Design for Autopilot with Rudder Roll Stabilisation and Fin Stabilisers | |
| Previous Research in Control of Rudder Roll Stabilisationand Fin Stabilisers | p. 193 |
| Rudder Roll Stabilisation in the 1970s | p. 193 |
| Rudder Roll Stabilisation in the 1980s | p. 196 |
| Rudder Roll Stabilisation in the 1990s | p. 201 |
| Rudder Roll Stabilisation from 2000 to 2004 | p. 203 |
| Work on Fin and Combined Rudder and Fin Stabiliser Control | p. 204 |
| Main Issues Reported in Previous Work | p. 204 |
| Constrained Control via Optimisation | p. 207 |
| Constraint Classification | p. 208 |
| Different Approaches to Constrained Control Problems | p. 208 |
| Finite-horizon Sequential-decision Problems | p. 209 |
| Infinite Horizons and Receding-horizon Implementation | p. 210 |
| Model Predictive Control | p. 211 |
| Constrained Linear Systems | p. 213 |
| Explicit and Implicit Implementations of QP-MPC | p. 216 |
| Stability of Model Predictive Control | p. 217 |
| Constrained Control of Uncertain Systems | p. 219 |
| Control System Design for Autopilots with Rudder Roll Stabilisation | p. 221 |
| Overview of Autopilot Functions and their Influence on Control Design | p. 221 |
| RRS: A Challenging Control Problem | p. 223 |
| Control System Architecture | p. 224 |
| Control Design Models | p. 225 |
| Control to Motion Model | p. 226 |
| Wave-induced Motion Model | p. 228 |
| Disturbance Parameter Estimation and Forecasting | p. 229 |
| Observer Design: State Estimation and Wave Filtering | p. 233 |
| Autopilot Control System Design | p. 237 |
| Autopilot Control Problem and Assumptions for the Design | p. 237 |
| A Model Predictive Control Solution | p. 240 |
| Performance of Model Predictive RRS | p. 242 |
| Choosing the Prediction Horizon | p. 243 |
| Penalising Roll Acceleration in the Cost | p. 243 |
| Case A: Beam Seas at the Top of Sea State 4 | p. 244 |
| Case B: Quartering Seas at the Top of Sea State 5 | p. 245 |
| Case C: Bow Seas at the Top of Sea State 5 | p. 246 |
| The Role of Adaptation | p. 246 |
| A Comment About the Simulation Results | p. 248 |
| Constrained Control of Fin Stabilisers | p. 251 |
| Performance and Control of Rudder and Fins | p. 251 |
| A Model for Fin Stabilizer Control Design | p. 252 |
| Output Constraints to avoid Dynamic Stall | p. 254 |
| A MPC Fin-Stabiliser Controller | p. 256 |
| Numerical Simulations | p. 258 |
| Integrated Control of Rudder and Fins | p. 263 |
| Summary and Discussion | p. 263 |
| Observers and Kalman Filtering | p. 265 |
| State Estimation via Observers | p. 265 |
| Kalman Filtering | p. 266 |
| Optimality of Kalman Filters | p. 268 |
| Correlated Disturbances | p. 269 |
| Practical Kalman Filter: Tuning | p. 270 |
| Steady State Kalman filter | p. 270 |
| Implementation Issues | p. 271 |
| A Benchmark Example: Naval Vessel | p. 273 |
| Hull Shape | p. 274 |
| Adopted Reference frames | p. 275 |
| Principal Hull Data and Loading Condition | p. 276 |
| Rudder, Fins and Bilge Keels | p. 277 |
| Manoeuvring Coefficients and Motion RAO | p. 279 |
| References | p. 283 |
| Index | p. 297 |
| Table of Contents provided by Publisher. All Rights Reserved. |