Articoli correlati a Control Systems with Input and Output Constraints
Sinossi
1 Introduction.- 1.1 A Typical Case.- 1.2 A Historical Perspective.- 1.3 The Control Problem.- 1.3.1 Control Systems with Input Constraints.- 1.3.2 Control Systems with Mode Switch.- 1.3.3 Control Systems with Output Constraints.- 1.4 Expected Control Performance.- 1.5 Methods.- 1.5.1 Optimal Control.- 1.5.2 Numerical Optimization: Model Predictive Control.- 1.5.3 The Intuitive Approach.- 1.6 Contents.- 1.7 Objectives.- I Standard Techniques.- 2 PI Control with Input Saturations.- 2.1 John's Case.- 2.1.1 Modeling.- 2.1.2 The Mechanical Governor.- 2.1.3 The Electronic Regulator.- 2.1.4 Summary.- 2.2 Problem Statement and Test Cases.- 2.3 The Reset Windup Effect.- 2.4 Antiwindup Structures.- 2.4.1 The Generic Antiwindup Feedback Structure.- 2.4.2 Control Conditioning.- 2.4.3 Reference Conditioning.- 2.4.4 Self-conditioning.- 2.4.5 Summary.- 2.5 Transient Responses for the Test Cases.- 2.5.1 The Effect of Antiwindup Feedback Structure.- 2.5.2 The Effect of Controller Tuning.- 2.5.3 Overshoot Analysis.- 2.5.4 The Effect of the Relative Pole Shift ÜT.- 2.5.5 Summary.- 2.6 Stability properties.- 2.6.1 Motivation.- 2.6.2 Methods.- 2.6.3 A Generic Result.- 2.6.4 Stability Analysis of the Test Cases.- 2.6.5 Estimating the Range of Attraction.- 2.6.6 Summary.- 2.7 Relations to Optimal Control.- 2.7.1 Motivation.- 2.7.2 The Exact Solution.- 2.7.3 Ongoing Control.- 2.8 Case Study: Batch Reactor Temperature Control.- 2.8.1 The process and the main control task.- 2.8.2 The Plant Model.- 2.8.3 Parameter Values.- 2.8.4 The Controller.- 2.8.5 The Design Program.- 2.8.6 Typical Resuhs.- 2.9 Summary.- 3 PI Control with Output Constraints.- 3.1 Arthur's Case.- 3.1.1 Extending the Plant Model.- 3.1.2 Arthur's Solution.- 3.1.3 An Advanced Solution.- 3.2 The Basic Concept.- 3.2.1 Problem Statement.- 3.2.2 Typical Controller Structures.- 3.3 The Benchmark Test.- 3.4 Structures for Output Constraint Control.- 3.4.1 The Nonhnear-Additive Concept.- 3.4.2 The Selector Concept.- 3.4.3 The Cascade-Limiter Concept.- 3.5 The Generic Structure.- 3.5.1 A First Version, for Direct Implementation.- 3.5.2 A Second Version, for Stability Analysis.- 3.6 Stability Analysis.- 3.6.1 The Cascade-Limiter Form.- 3.6.2 The Nonhnear-Additive and Selectors Forms.- 3.7 Stability Properties of the Test Case.- 3.8 Relations to Minimum Time Control.- 3.9 Case Study (continued): Batch Reactor Temperature Control..- 3.9.1 The Process and the Main Control Task.- 3.9.2 The Plant Model.- 3.9.3 Parameter Values.- 3.9.4 The Controller.- 3.9.5 The Design Program.- 3.9.6 Typical Results.- 3.10 Summary.- 4 PI Control with Input and Output Constraints.- 4.1 Problem Statement.- 4.1.1 The Plant Model.- 4.1.2 The Basic Control Idea.- 4.2 Benchmark System.- 4.3 Structures and Transient Responses.- 4.3.1 Form A: Sequential Max-Min-Selection.- 4.3.2 Form B: Parallel Selection.- 4.3.3 Form C: "Lowest Wins".- 4.3.4 Form D: Sequential Nonhnear Additive.- 4.3.5 Form E: Cascade Limiter.- 4.4 Performance Analysis.- 4.4.1 Introduction.- 4.4.2 Applying Open Loop Control Sequences u(t).- 4.4.3 Generating u(t) by Proportional Feedback and Selection.- 4.4.4 Comparison.- 4.4.5 Adding Integral Action with Antiwindup Feedback.- 4.4.6 Back to the Benchmark.- 4.5 Stability Analysis.- 4.5.1 The Multivariable Circle Criterion Approach.- 4.5.2 An illustrative example.- 4.5.3 The Phase Plane Partitions Approach.- 4.5.4 A Modified Approach.- 4.5.5 A Fourth Approach to Design for Stability.- 4.5.6 Summary and Generalization.- 4.6 Case Study: Elevator Positioning Control.- 4.6.1 Plant Description and Data.- 4.6.2 Mathematical model.- 4.6.3 Suggestions for the Control System Design and Analysis.- 4.7 Summary.- 5 Further Topics on PI (aw) Control.- 5.1 PI Control with Actuator Slew and Stroke Constraints.- 5.1.1 Motivation.- 5.1.2 Actuator Modeling.- 5.1.3 Control Structures and Transient Response.- 5.1.4 An Approximation.- 5.1.5 Stability Analysis.- 5.1.6 An Implementation Alternative.- 5.2 Pl(aw) Control with Der
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