ADVANCES IN CONTROL SYSTEMS: THEORY AND APPLICATIONS
CONTENTS 1 GENERAL CHARACTERISTIC OF CONTROL SYSTEMS 1 1 SUBJECT AND SCOPE OF CONTROL THEORY 1 2 BASIC TERMS 1 2 1 CONTROL PLANT 1 2 2 CONTROLLER 1 3 CLASSIFICATION OF CONTROL SYSTEMS 1 3 1 CLASSIFICATION WITH RESPECT TO CONNECTION BETWEEN PLANT AND CONTROLLER 1 3 2 CLASSIFICATION WITH RESPECT TO CONTROL GOAL 1 3 3 OTHER CASES 1 4 STAGES OF CONTROL SYSTEM DESIGN 1 5 RELATIONS BETWEEN CONTROL SCIENCE AND RELATED AREAS IN SCIENCE AND TECHNOLOGY 1 6 CHARACTER, SCOPE AND COMPOSITION OF THE BOOK 2 FORMAL MODELS OF CONTROL SYSTEMS 2 1 DESCRIPTION OF A SIGNAL 2 2 STATIC PLANT 2 3 CONTINUOUS DYNAMICAL PLANT 2 3 1 STATE VECTOR DESCRIPTION 2 3 3 OPERATIONAL FORM OF “INPUT-OUTPUT” DESCRIPTION 2 4 DISCRETE DYNAMICAL PLANT 2 5 CONTROL ALGORITHM 2 6 INTRODUCTION TO CONTROL SYSTEM ANALYSIS 2 6 1 CONTINUOUS SYSTEM 2 6 2 DISCRETE SYSTEM 3 CONTROL FOR THE GIVEN STATE (THE GIVEN OUTPUT) 3 1 CONTROL OF A STATIC PLANT 3 2 CONTROL OF A DYNAMICAL PLANT CONTROLLABILITY 3 3 CONTROL OF A MEASURABLE PLANT IN THE CLOSED-LOOP SYSTEM 3 4 OBSERVABILITY 3 5 CONTROL WITH AN OBSERVER IN THE CLOSED-LOOP SYSTEM 3 6 STRUCTURAL APPROACH 3 7 ADDITIONAL REMARKS 4 OPTIMAL CONTROL WITH COMPLETE INFORMATION ON THE PLANT 4 1 CONTROL OF A STATIC PLANT 4 2 PROBLEMS OF OPTIMAL CONTROL FOR DYNAMICAL PLANTS 4 2 1 DISCRETE PLANT 4 2 2 CONTINUOUS PLANT 4 3 PRINCIPLE OF OPTIMALITY AND DYNAMIC PROGRAMMING 4 4 BELLMAN EQUATION 4 5 MAXIMUM PRINCIPLE 4 6 LINEAR-QUADRATIC PROBLEM 5 PARAMETRIC OPTIMIZATION 5 1 GENERAL IDEA OF PARAMETRIC OPTIMIZATION 5 2 CONTINUOUS LINEAR CONTROL SYSTEM 5 3 DISCRETE LINEAR CONTROL SYSTEM 5 4 SYSTEM WITH THE MEASUREMENT OF DISTURBANCES 5 5 TYPICAL FORMS OF CONTROL ALGORITHMS IN CLOSED-LOOP SYSTEMS 5 5 1 LINEAR CONTROLLER 5 5 2 TWO-POSITION CONTROLLER 5 5 3 NEURON-LIKE CONTROLLER 5 5 4 FUZZY CONTROLLER 6 APPLICATION OF RELATIONAL DESCRIPTION OF UNCERTAINTY 6 1 UNCERTAINTY AND RELATIONAL KNOWLEDGE REPRESENTATION 6 2 ANALYSIS PROBLEM 6 3 DECISION MAKING PROBLEM 6 4 DYNAMICAL RELATIONAL PLANT 6 5 DETERMINIZATION 7 APPLICATION OF PROBABILISTIC DESCRIPTIONS OF UNCERTAINTY 7 1 BASIC PROBLEMS FOR STATIC PLANT AND PARAMETRIC UNCERTAINTY 7 3 CONTROL OF STATIC PLANT USING RESULTS OF OBSERVATIONS 7 3 1 INDIRECT APPROACH 7 3 2 DIRECT APPROACH 7 4 APPLICATION OF GAMES THEORY 7 5 BASIC PROBLEM FOR DYNAMICAL PLANT 7 6 STATIONARY STOCHASTIC PROCESS 7 7 ANALYSIS AND PARAMETRIC OPTIMIZATION OF LINEAR CLOSED-LOOP CONTROL SYSTEM WITH STATIONARY STOCHASTIC DISTURBANCES 7 8 NON-PARAMETRIC OPTIMIZATION OF LINEAR CLOSED-LOOP CONTROL SYSTEM WITH STATIONARY STOCHASTIC DISTURBANCES 7 9 RELATIONAL PLANT WITH RANDOM PARAMETER 8 UNCERTAIN VARIABLES AND THEIR APPLICATIONS 8 1 UNCERTAIN VARIABLES 8 2 APPLICATION OF UNCERTAIN VARIABLES TO ANALYSIS AND DECISION MAKING (CONTROL) FOR STATIC PLANT 8 2 1 PARAMETRIC UNCERTAINTY 8 2 2 NON-PARAMETRIC UNCERTAINTY 8 3 RELATIONAL PLANT WITH UNCERTAIN PARAMETER 8 4 CONTROL FOR DYNAMICAL PLANTS UNCERTAIN CONTROLLER 9 FUZZY VARIABLES, ANALOGIES AND SOFT VARIABLES 9 1 FUZZY SETS AND FUZZY NUMBERS 9 2 APPLICATION OF FUZZY DESCRIPTION TO DECISION MAKING (CONTROL) FOR STATIC PLANT 9 2 1 PLANT WITHOUT DISTURBANCES 9 2 2 PLANT WITH EXTERNAL DISTURBANCES 9 3 COMPARISON OF UNCERTAIN VARIABLES WITH RANDOM AND FUZZY VARIABLES 9 4 COMPARISONS AND ANALOGIES FOR NON-PARAMETRIC PROBLEMS 9 5 INTRODUCTION TO SOFT VARIABLES 9 6 DESCRIPTIVE AND PRESCRIPTIVE APPROACHES QUALITY OF DECISIONS 9 7 CONTROL FOR DYNAMICAL PLANTS FUZZY CONTROLLER 10 CONTROL IN CLOSED-LOOP SYSTEM STABILITY 10 1 GENERAL PROBLEM DESCRIPTION 10 2 STABILITY CONDITIONS FOR LINEAR STATIONARY SYSTEM 10 2 1 CONTINUOUS SYSTEM 10 2 2 DISCRETE SYSTEM 10 3 STABILITY OF NON-LINEAR AND NON-STATIONARY DISCRETE SYSTEMS 10 4 STABILITY OF NON-LINEAR AND NON-STATIONARY CONTINUOUS SYSTEMS 10 5 SPECIAL CASE DESCRIBING FUNCTION METHOD 10 6 STABILITY OF UNCERTAIN SYSTEMS ROBUSTNESS 10 7 AN APPROACH BASED ON RANDOM AND UNCERTAIN VARIABLES 10 8 CONVERGENCE OF STATIC OPTIMIZATION PROCESS 11 ADAPTIVE AND LEARNING CONTROL SYSTEMS 11 1 GENERAL CONCEPTS OF ADAPTATION 11 2 ADAPTATION VIA IDENTIFICATION FOR STATIC PLANT 11 3 ADAPTATION VIA IDENTIFICATION FOR DYNAMICAL PLANT 11 4 ADAPTATION VIA ADJUSTMENT OF CONTROLLER PARAMETERS 11 5 LEARNING CONTROL SYSTEM BASED ON KNOWLEDGE OF THE PLANT 11 5 1 KNOWLEDGE VALIDATION AND UPDATING 11 5 2 LEARNING ALGORITHM FOR DECISION MAKING IN CLOSED-LOOP SYSTEM 11 6 LEARNING CONTROL SYSTEM BASED ON KNOWLEDGE OF DECISIONS 11 6 1 KNOWLEDGE VALIDATION AND UPDATING 11 6 2 LEARNING ALGORITHM FOR CONTROL IN CLOSED-LOOP SYSTEM 12 INTELLIGENT AND COMPLEX CONTROL SYSTEMS 12 1 INTRODUCTION TO ARTIFICIAL INTELLIGENCE 12 2 LOGICAL KNOWLEDGE REPRESENTATION 12 3 ANALYSIS AND DECISION MAKING PROBLEMS 12 4 LOGIC-ALGEBRAIC METHOD 12 5 NEURAL NETWORKS 12 6 APPLICATIONS OF NEURAL NETWORKS IN CONTROL SYSTEMS 12 6 1 NEURAL NETWORK AS A CONTROLLER 12 6 2 NEURAL NETWORK IN ADAPTIVE SYSTEM 12 7 DECOMPOSITION AND TWO-LEVEL CONTROL 12 8 CONTROL OF COMPLEX PLANT WITH CASCADE STRUCTURE 12 9 CONTROL OF PLANT WITH TWO-LEVEL KNOWLEDGE REPRESENTATION 13 CONTROL OF OPERATION SYSTEMS 13 1 GENERAL CHARACTERISTIC 13 2 CONTROL OF TASK DISTRIBUTION 13 3 CONTROL OF RESOURCE DISTRIBUTION 13 4 CONTROL OF ASSIGNMENT AND SCHEDULING 13 5 CONTROL OF ALLOCATION IN SYSTEMS WITH TRANSPORT 13 6 CONTROL OF AN ASSEMBLY PROCESS 13 8 APPLICATION OF NEURAL NETWORK CONCLUSIONS