General Characteristic of Control Systems | p. 1 |
Subject and Scope of Control Theory | p. 1 |
Basic Terms | p. 2 |
Control Plant | p. 4 |
Controller | p. 6 |
Classification of Control Systems | p. 7 |
Classification with Respect to Connection Between Plant and Controller | p. 7 |
Classification with Respect to Control Goal | p. 9 |
Other Cases | p. 11 |
Stages of Control System Design | p. 13 |
Relations Between Control Science and Related Areas in Science and Technology | p. 14 |
Character, Scope and Composition of the Book | p. 15 |
Formal Models of Control Systems | p. 17 |
Description of a Signal | p. 17 |
Static Plant | p. 18 |
Continuous Dynamical Plant | p. 19 |
State Vector Description | p. 20 |
"Input-output" Description by Means of Differential Equation | p. 24 |
Operational Form of "Input-output" Description | p. 25 |
Discrete Dynamical Plant | p. 29 |
Control Algorithm | p. 31 |
Introduction to Control System Analysis | p. 33 |
Continuous System | p. 35 |
Discrete System | p. 37 |
Control for the Given State (the Given Output) | p. 41 |
Control of a Static Plant | p. 41 |
Control of a Dynamical Plant. Controllability | p. 44 |
Control of a Measurable Plant in the Closed-loop System | p. 47 |
Observability | p. 50 |
Control with an Observer in the Closed-loop System | p. 55 |
Structural Approach | p. 59 |
Additional Remarks | p. 62 |
Optimal Control with Complete Information on the Plant | p. 65 |
Control of a Static Plant | p. 65 |
Problems of Optimal Control for Dynamical Plants | p. 69 |
Discrete Plant | p. 69 |
Continuous Plant | p. 72 |
Principle of Optimality and Dynamic Programming | p. 74 |
Bellman Equation | p. 79 |
Maximum Principle | p. 85 |
Linear-quadratic Problem | p. 93 |
Parametric Optimization | p. 97 |
General Idea of Parametric Optimization | p. 97 |
Continuous Linear Control System | p. 99 |
Discrete Linear Control System | p. 105 |
System with the Measurement of Disturbances | p. 107 |
Typical Forms of Control Algorithms in Closed-loop Systems | p. 110 |
Linear Controller | p. 111 |
Two-position Controller | p. 112 |
Neuron-like Controller | p. 112 |
Fuzzy Controller | p. 113 |
Application of Relational Description of Uncertainty | p. 117 |
Uncertainty and Relational Knowledge Representation | p. 117 |
Analysis Problem | p. 122 |
Decision Making Problem | p. 127 |
Dynamical Relational Plant | p. 130 |
Determinization | p. 136 |
Application of Probabilistic Descriptions of Uncertainty | p. 143 |
Basic Problems for Static Plant and Parametric Uncertainty | p. 143 |
Basic Problems for Static Plant and Non-parametric Uncertainty | p. 152 |
Control of Static Plant Using Results of Observations | p. 157 |
Indirect Approach | p. 158 |
Direct Approach | p. 164 |
Application of Games Theory | p. 165 |
Basic Problem for Dynamical Plant | p. 170 |
Stationary Stochastic Process | p. 174 |
Analysis and Parametric Optimization of Linear Closed-loop Control System with Stationary Stochastic Disturbances | p. 178 |
Non-parametric Optimization of Linear Closed-loop Control System with Stationary Stochastic Disturbances | p. 183 |
Relational Plant with Random Parameter | p. 188 |
Uncertain Variables and Their Applications | p. 193 |
Uncertain Variables | p. 193 |
Application of Uncertain Variables to Analysis and Decision Making (Control) for Static Plant | p. 201 |
Parametric Uncertainty | p. 201 |
Non-parametric Uncertainty | p. 205 |
Relational Plant with Uncertain Parameter | p. 211 |
Control for Dynamical Plants. Uncertain Controller | p. 216 |
Fuzzy Variables, Analogies and Soft Variables | p. 221 |
Fuzzy Sets and Fuzzy Numbers | p. 221 |
Application of Fuzzy Description to Decision Making (Control) for Static Plant | p. 228 |
Plant without Disturbances | p. 228 |
Plant with External Disturbances | p. 233 |
Comparison of Uncertain Variables with Random and Fuzzy Variables | p. 238 |
Comparisons and Analogies for Non-parametric Problems | p. 242 |
Introduction to Soft Variables | p. 246 |
Descriptive and Prescriptive Approaches. Quality of Decisions | p. 249 |
Control for Dynamical Plants. Fuzzy Controller | p. 255 |
Control in Closed-loop System. Stability | p. 259 |
General Problem Description | p. 259 |
Stability Conditions for Linear Stationary System | p. 264 |
Continuous System | p. 264 |
Discrete System | p. 266 |
Stability of Non-linear and Non-stationary Discrete Systems | p. 270 |
Stability of Non-linear and Non-stationary Continuous Systems | p. 277 |
Special Case. Describing Function Method | p. 278 |
Stability of Uncertain Systems. Robustness | p. 282 |
An Approach Based on Random and Uncertain Variables | p. 291 |
Convergence of Static Optimization Process | p. 295 |
Adaptive and Learning Control Systems | p. 299 |
General Concepts of Adaptation | p. 299 |
Adaptation via Identification for Static Plant | p. 303 |
Adaptation via Identification for Dynamical Plant | p. 309 |
Adaptation via Adjustment of Controller Parameters | p. 311 |
Learning Control System Based on Knowledge of the Plant | p. 313 |
Knowledge Validation and Updating | p. 314 |
Learning Algorithm for Decision Making in Closed-loop System | p. 317 |
Learning Control System Based on Knowledge of Decisions | p. 319 |
Knowledge Validation and Updating | p. 319 |
Learning Algorithm for Control in Closed-loop System | p. 321 |
Intelligent and Complex Control Systems | p. 327 |
Introduction to Artificial Intelligence | p. 327 |
Logical Knowledge Representation | p. 328 |
Analysis and Decision Making Problems | p. 332 |
Logic-algebraic Method | p. 334 |
Neural Networks | p. 341 |
Applications of Neural Networks in Control Systems | p. 346 |
Neural Network as a Controller | p. 346 |
Neural Network in Adaptive System | p. 348 |
Decomposition and Two-level Control | p. 349 |
Control of Complex Plant with Cascade Structure | p. 355 |
Control of Plant with Two-level Knowledge Representation | p. 358 |
Control of Operation Systems | p. 363 |
General Characteristic | p. 363 |
Control of Task Distribution | p. 365 |
Control of Resource Distribution | p. 371 |
Control of Assignment and Scheduling | p. 375 |
Control of Allocation in Systems with Transport | p. 382 |
Control of an Assembly Process | p. 386 |
Application of Relational Description and Uncertain Variables | p. 391 |
Application of Neural Network | p. 398 |
Conclusions | p. 401 |
Appendix | p. 405 |
References | p. 411 |
Index | p. 419 |
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