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CHAPTER 1. INTRODUCTION TO OPTIMAL AND ROBUST CONTROL. |
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1.1 INTRODUCTION. | |||
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1.3 INTRODUCTION TO H∞ CONTROL DESIGN . | |||
1.4 STATE-SPACE MODELLING AND SYNTHESIS THEORY. | |||
1.5 INTRODUCTION TO H2 OR LQG POLYNOMIAL SYNTHESIS . | |||
1.6 BENCHMARKING. | |||
1.7 CONDITION MONITORING. | |||
1.8 COMBINING H2, H∞ DESIGN AND OPTIMAL CONTROL. | |||
1.9 LINEAR MATRIX INEQUALITIES. | |||
1.10 CONCLUDING REMARKS. | |||
1.11 PROBLEMS. | |||
1.12 REFERENCES. | |||
CHAPTER 2. SCALAR LQG OPTIMAL CONTROL. |
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2.1 INTRODUCTION. | |||
2.2 STOCHASTIC SYSTEM DESCRIPTION. | |||
2.3 DUAL-CRITERION COST-MINIMISATION PROBLEM. | |||
2.4 LQG CONTROLLER WITH ROBUST WEIGHTING FUNCTION. | |||
2.5 INTRODUCTION TO THE STANDARD SYSTEM MODEL. | |||
2.6. THE STANDARD SYSTEM MODEL STRUCTURE. | |||
2.7 GENERALISED H2 OPTIMAL CONTROL: STANDARD SYSTEM MODEL. | |||
2.8 CONCLUDING REMARKS. | |||
2.9 PROBLEMS. | |||
2.10 REFERENCES. | |||
CHAPTER 3. SCALAR H∞ OPTIMAL CONTROL. |
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3.1 INTRODUCTION. | |||
3.2 SYSTEM DESCRIPTION. | |||
3.3 LEMMA LINKING H∞ AND LQG CONTROL PROBLEMS. | |||
3.4 CALCULATION OF THE H∞ OPTIMAL CONTROLLER. | |||
3.5 THE GH∞ CONTROL PROBLEM. | |||
3.6 STABILITY ROBUSTNESS OF GH∞ DESIGNS. | |||
3.7 STANDARD SYSTEM AND COST FUNCTION DESCRIPTION. | |||
3.8 CALCULATION OF THE H∞ CONTROLLER FOR THE STANDARD SYSTEM. | |||
3.9 PROBABILISTIC SYSTEM DESCRIPTIONS AND H∞ CONTROL. | |||
3.10 CONCLUDING REMARKS. | |||
3.11 PROBLEMS. | |||
3.12 REFERENCES. | |||
CHAPTER 4. MULTIVARIABLE H2/LQG OPTIMAL CONTROL. |
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4.1 INTRODUCTION. | |||
4.2 MULTIVARIABLE SYSTEM DESCRIPTION. | |||
4.3. LQG OPTIMAL CONTROL PROBLEM AND SOLUTION. | |||
4.4 YOULA PARAMETERISATION AND AUXILIARY LQG DESIGN PROBLEM. | |||
4.5 H2/LQG OPTIMAL CONTROL PROBLEM: MEASUREMENT NOISE CASE. | |||
4.6 GLQG OPTIMAL CONTROL PROBLEM AND SIMPLIFIED SOLUTION. | |||
4.7 DESIGN OF AUTOMATIC VOLTAGE REGULATORS . | |||
4.8 PSEUDO-STATE MODELLING AND SEPARATION PRINCIPLE. | |||
4.9 CONCLUDING REMARKS. | |||
4.10 PROBLEMS. | |||
4.11 REFERENCES. | |||
CHAPTER 5.MULTIVARIABLE H∞ OPTIMAL CONTROL. | |||
5.1 INTRODUCTION. | |||
5.2 H∞ MULTIVARIABLE CONTROLLERS. | |||
5.3 ONE BLOCK AND GH∞ OPTIMAL CONTROL PROBLEMS. | |||
5.4 SUBOPTIMAL H∞ MULTIVARIABLE CONTROLLERS. | |||
5.5 POLYNOMIAL SYSTEM FOR SUBOPTIMAL H∞ CONTROL PROBLEM. | |||
5.6 SOLUTION OF SUBOPTIMAL H∞ STATE FEEDBACK PROBLEM. | |||
5.7 SUBOPTIMAL H∞ STATE FEEDBACK CONTROL PROBLEM RESULTS. | |||
5.8 RELATIONSHIP BETWEEN POLYNOMIAL AND STATE-SPACE RESULTS. | |||
5.9 SOLUTION OF SUBOPTIMAL OUTPUT FEEDBACK CONTROL PROBLEM. | |||
5.10 PROBLEMS. | |||
5.11 REFERENCES. | |||
CHAPTER 6. ROBUST CONTROL SYSTEMS DESIGN AND IMPLEMENTATION. |
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6.1 INTRODUCTION. | |||
6.2 AVOIDING IMPRACTICAL H∞ DESIGNS. | |||
6.3 POLE-ZERO CANCELLATION PROPERTIES OF LQG AND H∞ DESIGNS. | |||
6.4 SYSTEM POLE AND ZERO PROPERTIES. | |||
6.5 INFLUENCE OF COST WEIGHTING FUNCTIONS ON FREQUENCY RESPONSES. | |||
6.6 LOOP SHAPING DESIGN FOR MULTIVARIABLE SYSTEMS. | |||
6.7 FORMALISED DESIGN PROCEDURES. | |||
6.8 THE MULTIVARIABLE ROBUST CONTROL DESIGN PROBLEM. | |||
6.9 H∞ MULTIVARIABLE DESIGN OF SUBMARINE DEPTH AND PITCH CONTROL. | |||
6.10 RESTRICTED STRUCTURE AND MULTIPLE MODEL OPTIMAL CONTROL. | |||
6.11 CONCLUDING REMARKS. | |||
6.12 PROBLEMS. | |||
6.13 REFERENCES. | |||
CHAPTER 7. H2 FILTERING, SMOOTHING AND PREDICTION . |
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7.1 INTRODUCTION. | |||
7.2 SIGNAL PROCESSING SYSTEM DESCRIPTION. | |||
7.3 THE STANDARD H∞ OPTIMAL ESTIMATION PROBLEM. | |||
7.4 SOLUTION OF FILTERING, SMOOTHING AND PREDICTION PROBLEMS. | |||
7.5 STRIP THICKNESS ESTIMATION FROM ROLL FORCE MEASUREMENTS. | |||
7.6 RESULTS FOR STRIP THICKNESS ESTIMATION : FORCE MEASUREMENTS. | |||
7.7 STRIP THICKNESS ESTIMATION FROM X-RAY GAUGE MEASUREMENTS. | |||
7.8 RESULTS FOR STRIP THICKNESS ESTIMATION: GAUGE MEASUREMENT. | |||
7.9 TIME VARYING AND NON-STATIONARY FILTERING. | |||
7.10 CONCLUSIONS. | |||
7.11 PROBLEMS . | |||
7.12 REFERENCES. | |||
CHAPTER 8. H∞ FILTERING, SMOOTHING AND PREDICTION. |
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8.1 INTRODUCTION. | |||
8.2 SOLUTION OF H∞ OPTIMAL ESTIMATION PROBLEM. | |||
8.3 H∞ DECONVOLUTION FILTERING PROBLEM. | |||
8.4 SUBOPTIMAL H∞ MULTI-CHANNEL FILTERS. | |||
8.5 RELEVANCE OF H∞ METHODS TO SIGNAL PROCESSING APPLICATIONS. | |||
8.6 FINAL REMARKS ON THE SUBOPTIMAL H∞ FILTERING PROBLEM. | |||
8.7 PROBLEMS. | |||
8.8 REFERENCE. | |||
CHAPTER 9. INDUSTRIAL APPLICATIONS OF H2/LQG OPTIMAL CONTROL. |
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9.1 INTRODUCTION. | |||
9.2 WIND TURBINE POWER CONTROL SYSTEMS. | |||
9.3 DESIGN OF AN H2 FLIGHT CONTROL SYSTEM . | |||
9.4 THICKNESS CONTROL SYSTEMS DESIGN USING FORCE FEEDBACK. | |||
9.5 THICKNESS CONTROL USING GAUGE MEASUREMENT. | |||
9.6 SHIP ROLL STABILISATION. | |||
9.7 CONCLUDING REMARKS. | |||
9.8 PROBLEMS. | |||
9.9 REFERENCES. | |||
CHAPTER 10. INDUSTRIAL APPLICATIONS OF H∞ OPTIMAL CONTROL. |
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10.1 INTRODUCTION. | |||
10.2 H∞ FLIGHT CONTROL SYSTEMS DESIGN. | |||
10.3 H∞ GAUGE CONTROL SYSTEM DESIGN USING FORCE FEEDBACK. | |||
10.4 SUBMARINE DEPTH AND COURSE KEEPING H∞ DESIGN. | |||
10.5 H∞ CONTROL OF REMOTELY OPERATED UNDERWATER VEHICLES. | |||
10.6 H∞ CONTROL OF SURFACE SHIPS. | |||
10.7 CONCLUDING REMARKS. | |||
10.8 PROBLEMS. | |||
10.9 REFERENCES . | |||
CHAPTER 11. TIME-VARYING AND NONLINEAR CONTROL . |
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11.1 INTRODUCTION. | |||
11.2 OPTIMAL CONTROL OF TIME-VARYING LINEAR SYSTEMS. | |||
11.3 MODELLING AND CONTROL OF NONLINEAR SYSTEMS. | |||
11.4 NLQG COMPENSATION AND CONTROL. | |||
11.5 NLQG EXAMPLE WITH INPUT AND OUTPUT NONLINEARITIES. | |||
11.6 NONLINEAR GENERALISED MINIMUM VARIANCE CONTROL. | |||
11.7 NONLINEAR GENERALISED MINIMUM VARIANCE PROBLEM. | |||
11.8 NONLINEAR GMV CONTROL PROBLEM. | |||
11.9 NONLINEAR SMITH PREDICTOR. | |||
11.10 CONCLUDING REMARKS. | |||
11.11 REFERENCES. |