- ISBN: 9780849374296 | 0849374294
- Cover: Hardcover
- Copyright: 12/10/2008
Since the 1960s, weakly coupled system control has become an extensive area of research. Assembling a team of leading experts in the field, Optimal Control: Weakly Coupled Systems and Applications uncovers new research and important discoveries in this burgeoning field.
| Preface | p. xi |
| Introduction | p. 1 |
| References | p. 10 |
| Recursive Approach for Linear Weakly Coupled Control Systems | |
| Linear Weakly Coupled Control Systems | p. 19 |
| Introduction | p. 19 |
| Weakly Coupled Linear Continuous Systems | p. 19 |
| Weakly Coupled Algebraic Lyapunov Equation | p. 21 |
| Weakly Coupled Algebraic Riccati Equation | p. 23 |
| Approximate Linear Regulator for Continuous Systems | p. 27 |
| Weakly Coupled Linear Discrete Sytems | p. 28 |
| Weakly Coupled Discrete Algebraic Lyapunov Equation | p. 28 |
| Case Study: Discrete Catalytic Cracker | p. 30 |
| Weakly Coupled Discrete Algebraic Riccati Equation | p. 30 |
| Approximate Linear Regulator for Discrete Systems | p. 34 |
| Case Study: Discrete Model of a Chemical Plant | p. 35 |
| Output Feedback Control for Linear Weakly Coupled Systems | p. 39 |
| Case Study: 12-Plate Absorption Column | p. 47 |
| Notes and Comments | p. 50 |
| References | p. 51 |
| Quasi-Weakly Coupled Linear Control Systems | p. 55 |
| Optimal Controller for Quasi-Weakly Coupled Linear Systems | p. 55 |
| Cemical Reactor | p. 61 |
| F-4 Fighter Aircraft | p. 62 |
| Case Study: Multimachine Power System | p. 63 |
| Reduced-Order Controller for a Class of Weakly Coupled Systems | p. 65 |
| Numerical Example | p. 70 |
| Case Study 1: L-1011 Fighter Aircraft | p. 71 |
| Case Study 2: Distillation Column | p. 72 |
| Notes | p. 74 |
| Appendix 3.1 | p. 74 |
| References | p. 75 |
| Weakly Coupled Singularly Perturbed Systems | p. 77 |
| Introduction | p. 77 |
| Weakly Coupled Singularly Perturbed Linear Control Systems | p. 78 |
| Case Study: A Supported Beam | p. 83 |
| Case Study: A Statellite Optimal Control Problem | p. 84 |
| Quasi-Weakly Coupled Singularly Perturbed Control Sytems | p. 85 |
| Case Studies | p. 91 |
| Conclusion | p. 93 |
| References | p. 94 |
| Decoupling Transformation, Lyapunov Equation, and Boundary Value Problem | p. 97 |
| Decoupling Transformation of Gajic and Shen | p. 98 |
| Decoupling Transformation of Qureshi | p. 104 |
| Decoupling Transformation for N Weakly Coupled Subsystems | p. 107 |
| Decompositions of the Differential Lyapunov Equation | p. 116 |
| Boundary Value Problem of Linear Continuous Systems | p. 117 |
| Boundary Value Problem of Linear Discrete Systems | p. 122 |
| References | p. 125 |
| Stochastic Linear Weakly Coupled Systems | p. 127 |
| Continuous Weakly Copled Stochastic Linear Control Systems | p. 128 |
| Case Study: Electric Power System | p. 137 |
| Discrete Weakly Coupled Stochastic Linear Control Systems | p. 139 |
| Case Study: Distillation Column | p. 147 |
| Stochastic Output Feedback of Discrete Systems | p. 148 |
| Output Feedback of Quasi-Weakly Coupled Linear Discrete Systems | p. 150 |
| Case Studies: Flight Control Systems for Aircraft | p. 158 |
| Optimal Control of Stochastic Jump Parameter Linear Systems | p. 161 |
| Comments | p. 169 |
| References | p. 169 |
| Nash Differential Games | p. 173 |
| Weakly Coupled Linear-Quadratic Nash Games | p. 173 |
| Solution of Coupled Algebraic Riccati Equations | p. 176 |
| Zeroth-Order Approximation | p. 177 |
| Solution of Higher Order of Accuracy | p. 178 |
| Numerical Example | p. 184 |
| p. 186 | |
| Algorithm for Solving Coupled Algebraic Riccati Equations of Nash Differential Games | p. 186 |
| References | p. 188 |
| Hamiltonian Approach for Linear Weakly Coupled Control Systems | |
| Finite Time Optimal Control via Hamiltonian Method | p. 193 |
| Open-Loop Optimal Control in Continuous-Time | p. 193 |
| Case Study: Distillation Column | p. 199 |
| Open-Loop Optimal Control in Discrete-Time | p. 199 |
| Numerical Example | p. 204 |
| Differential Riccati Equation | p. 205 |
| Case Study: Gas Absorber | p. 211 |
| Difference Riccati Equation | p. 213 |
| Numerical Example | p. 219 |
| Concluding Remarks | p. 220 |
| Appendix 8.1 | p. 221 |
| Appendix 8.2 | p. 221 |
| References | p. 222 |
| Hamiltonian Method for Steady State Optimal Control and Filtering | p. 225 |
| Exact Decomposition of the Weakly Coupled Continuous-Time Algebraic Riccati Equation | p. 225 |
| Case Study: A Statellite Control Problem | p. 231 |
| Optimal Filtering in Continuous-Time | p. 231 |
| A Helicopter Filtering Problem | p. 238 |
| Optimal Control and Filtering in Discrete-Time | p. 240 |
| Linear-Quadratic Optimal Control | p. 241 |
| Optimal Kalman Filtering | p. 247 |
| Linear-Quadratic Gaussian Optimal Control Problem | p. 253 |
| Case Study: Distillation Column | p. 256 |
| Optimal Control of Weakly Coupled Systems with N Subsystems | p. 258 |
| Decoupling of the Algebraic Riccati Equation | p. 258 |
| Kalman Filtering for N Weakly Coupled Subsystems | p. 264 |
| Linear-Quadratic Gaussian Optimal Control | p. 267 |
| Conclusion | p. 268 |
| Appendix 9.1 | p. 269 |
| References | p. 269 |
| Eigenvector Method for the Hamiltonian Approach | p. 271 |
| Introduction | p. 271 |
| Decomposition of Weakly Coupled Algebraic Riccati Equation | p. 272 |
| Eigenvector Method for Nonsymmetric (Nonsquare) Algebraic Riccati Equation | p. 275 |
| Exact Decomposition Algorithm for Weakly Coupled Systems | p. 278 |
| Examples | p. 283 |
| Conclusion | p. 290 |
| Justification of Step 3 of Algorithm 10.2 | p. 291 |
| On the Number of Solutions to Nonsymmetric ARE | p. 292 |
| References | p. 292 |
| Bilinear Weakly Coupled Control Systems | |
| Optimal Control of Bilinear Weakly Coupled Systems | p. 297 |
| Introduction | p. 297 |
| Optimal Control for Weakly Coupled Bilinear Systems Using SGA | p. 299 |
| Problem Formulation | p. 299 |
| Design of Optimal Control Law for Weakly Coupled Bilinear Systems Using SGA | p. 302 |
| Case Study: A Paper Making Machine | p. 307 |
| Robust H[subscript infinity] Control for Weakly Coupled Bilinear Systems with Parameter Uncertainties Using SGA | p. 310 |
| Problem Formulation | p. 311 |
| Design of H[subscript infinity] Control Law for Weakly Coupled Bilinear Systems with Parameter Uncertainties Using SGA | p. 314 |
| Case Study: A Paper Making Machine | p. 320 |
| Conclusion | p. 321 |
| References | p. 323 |
| Index | p. 325 |
| Table of Contents provided by Ingram. All Rights Reserved. |
What is included with this book?
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.
Please wait while the item is added to your bag...
×
Digital License
You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.
More details can be found here.