PID Control for Multivariable Processes (Lecture Notes in Control and Information Sciences (373))

Thereare richtheories and designs for generalcontrolsystems,but usually, they will not lead to PID controllers. Noting that the PID controller has been the most popular one in industry for over ?fty years, we will con?ne our discussion hereto PIDcontrolonly. PID controlhasbeenanimportantresearchtopicsince 1950’s, and causes remarkable activities for the last two decades. Most of the existing works have been on the single variable PID control and its theory and design are well established, understood and practically applied. However, most industrial processes are of multivariable nature. It is not rare that the overall multivariable PID control system could fail although each PID loop may work well. Thus,demandforaddressingmultivariableinteractionsishighforsuccessful applicationofPIDcontrolinmultivariableprocessesanditisevidentfrommajor leading control companies who all rankedthe couplings of multivariable systems as the principal common problem in industry. There have been studies on PID control for multivariable processes and they provide some useful design tools for certaincases. But itis notedthat the existing worksaremainlyfor decentralized form of PID control and based on ad hoc methodologies. Obvious, multivariable PID control is much less understood and developed in comparison with the single variable case and actual need for industrial applications. Better theory and design have to be established for multivariable PID control to reach the same maturity and popularity as the single variable case. The present monograph puts together, in a single volume, a fairly comp- hensive, up-to-date and detailed treatment of PID control for multivariable p- cesses, from paring, gain and phase margins, to various design methods and applications. Contents 6 Chapter1.pdf 11 Introduction 11 Multivariable Processes 12 Control of Multivariable Processes 13 Outline of the Book Chapters 16 Chapter2.pdf 19 Loop Pairing Analysis 19 Introduction 19 Preliminaries 21 RGA and NI 21 RGA-Based Loop-Pairing Criterion 22 DCLI 24 Decomposed Interaction Analysis 25 Control Structure Selection 30 New Loop-Pairing Criterion 31 Case Study 33 DRIS 35 Tolerance to Loops Failures 40 DCLI Evaluation for Loop Pairings 42 Algorithm 42 Case Study 43 Conclusion 47 Chapter3.pdf 49 Loop Gain Margins and Stabilizing PID Ranges 49 Introduction 49 Problem Formulation 51 The Proposed Approach 56 Special Cases 60 P Control 60 PD Control 61 PI Control 62 Computational Algorithm 63 An Example 69 Extension to the Centralized Controller 74 Conclusions 79 Chapter4.pdf 81 Loop Phase Margins 81 Introduction 81 Problem Formulation 83 Time Domain Method 88 Finding Allowable Diagonal Delays 88 Evaluating Phase Margins 92 An Example 94 Frequency Domain Method 95 The Proposed Approach 95 Illustration Examples 99 Conclusion 104 Chapter5.pdf 106 Multi-loop PID Control Based on dRI Analysis 106 Introduction 106 Preliminaries 108 Dynamic Relative Interaction 110 SIMC Based Design 113 Determination of MMF 113 Design of a Decentralized Controller 116 Examples 117 IMC Based Design 125 Estimation of Equivalent Transfer Function 125 Design of a Decentralized Controller 128 Simulation Examples 129 Conclusion 139 Chapter6.pdf 140 Multivariable PID Control Based on Dominant Pole Placement 140 Introduction 140 Approximate Dominant Pole Placement 142 Problem Statement 142 The Proposed Method 143 Simulation Study 145 Real Time Testing 151 Positive PID Settings 152 Oscillation Processes 154 Guaranteed Dominant Pole Placement 159 Problem Statement and Preliminary 159 Root Locus Method 161 Nyquist Plot Method 162 Multivariable Case 166 Conclusion 175 Chapter7.pdf 176 Optimal Multivariable PID Control Based onLMI Approach 176 Introduction 176 Transformation from PID Controllers to SOF Controllers 177 Transformation 177 Well-Posedness of PID Control 179 Feedback Stabilization with PID Controllers 180 Static Output Feedback Stabilization --- Some Results Revisited 180 Feedback Stabilization with PID Controllers 182 $H_2$ Suboptimal Control with PID Controllers 182 $H_\infty$ Suboptimal Control with PID Controllers 185 Maximum Output Control with PID Controllers 186 A Numerical Example: Design of Aircraft Controllers 189 Improvement of Convergence in Static Output Feedback 191 SOF Stabilization 191 $H_\infty$ Synthesis 195 PID Control 198 Improvement by Descriptor Systems Approach 199 Stabilization Via PID Control 201 Robust Stabilization with $H_\infty$ Performance 205 Conclusions 210 Chapter8.pdf 212 Multivariable PID Control for Synchronization 212 Introduction 212 Problem Formulation 213 A Strategy for Master-Slave Synchronization 214 PD Control 214 PID Control 219 Examples 222 Conclusion 226 Chapter9.pdf 227 Multivariable Process Identification 227 Introduction 227 Identification of SISO Processes 229 Second-Order Modelling 229 $n$-th Order Modeling 236 Identification of MIMO Processes 238 TITO Processes 238 Simulation Studies 243 General MIMO Processes 250 Real Time Testing 254 Conclusion 256 back-matter.pdf 258 “Thinking in Java should be read cover to cover by every Java programmer, then kept close at hand for frequent reference. 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Stephenson Awards for Thinking in Java - 2003 Software Development Magazine Jolt Award for Best Book - 2003 Java Developer’s Journal Reader’s Choice Award for Best Book 2001 JavaWorld Editor’s Choice Award for Best Book 2000 JavaWorld Reader’s Choice Award for Best Book 1999 Software Development Magazine Productivity Award 1998 Java Developer’s Journal Editor’s Choice Award for Best Book Download seven free sample chapters from Thinking in Java, Fourth Edition. Visit http://mindview.net/Books/TIJ4. Thereare richtheories and designs for generalcontrolsystems, but usually, they will not lead to PID controllers. Noting that the PID controller has been the most popular one in industry for over?fty years, we will con?ne our discussion hereto PIDcontrolonly. PID controlhasbeenanimportantresearchtopicsince 1950's, and causes remarkable activities for the last two decades. Most of the existing works have been on the single variable PID control and its theory and design are well established, understood and practically applied. However, most industrial processes are of multivariable nature. It is not rare that the overall multivariable PID control system could fail although each PID loop may work well. Thus, demandforaddressingmultivariableinteractionsishighforsuccessful applicationofPIDcontrolinmultivariableprocessesanditisevidentfrommajor leading control companies who all rankedthe couplings of multivariable systems as the principal common problem in industry. There have been studies on PID control for multivariable processes and they provide some useful design tools for certaincases. But itis notedthat the existing worksaremainlyfor decentralized form of PID control and based on ad hoc methodologies. Obvious, multivariable PID control is much less understood and developed in comparison with the single variable case and actual need for industrial applications. Better theory and design have to be established for multivariable PID control to reach the same maturity and popularity as the single variable case. The present monograph puts together, in a single volume, a fairly comp- hensive, up-to-date and detailed treatment of PID control for multivariable p- cesses, from paring, gain and phase margins, to various design methods and applications Front Matter....Pages - Introduction....Pages 1-8 Loop Pairing Analysis....Pages 9-38 Loop Gain Margins and Stabilizing PID Ranges....Pages 39-70 Loop Phase Margins....Pages 71-95 Multi-loop PID Control Based on dRI Analysis....Pages 97-130 Multivariable PID Control Based on Dominant Pole Placement....Pages 131-166 Optimal Multivariable PID Control Based on LMI Approach....Pages 167-202 Multivariable PID Control for Synchronization....Pages 203-217 Multivariable Process Identification....Pages 219-249 Back Matter....Pages - This book "has extraordinary clarity, careful organisation, and small, direct programming examples. From the fundamentals of Java syntax to its most advanced features (in-depth object-orientated concepts, multi-threading, automated project building, unit testing, and de-bugging), this book is designed to teach, one simple step at a time."--Back cover This text doesn't just show readers what to do, it also explains why they are doing it. The author introduces all the basics of objects as Java uses them, before providing step-by-step instructions to the fundamentals of Java programming. An overview of the programming language's fundamentals covers syntax, initialization, implementation, classes, error handling, objects, applets, multiple threads, projects, and network programming Qing-guo Wang ... [et Al.]. Includes Bibliographical References (p. [251]-261] And Index.