Loop Transfer Recovery

Analysis and Design


Ali Saberi, Washington State University
Ben M. Chen, State University of New York at Stony Brook
Peddapullaiah Sannuti, Rutgers University

Springer, London, New York, 1993 (¥ PDF ¥)

Communications and Control Engineering Series, xiii/352 pages / ISBN 3-540-19831-8 / ISBN 0-387-19831-8


From the Back Cover:

Loop Transfer Recovery (LTR) theory is a subject dealing with the recovery, while using only measurement feedback controllers, of target open-loop or closed-loop transfer functions which incorporate all desirable design objctives in a multivariable control system. Consideration of when and how such a recovery is possible, different controller structures and the available design freedom and the design methods for accomplishing such a recovery, are the main topics of discussion in LTR. This book deals with all such issues in general continuous and discrete-time systems.

The Communications and Control Engineering Series reflects the major technological advances that have a great impact in the fields of communication and control. It reports on research in industrial and academic institutions around the world to exploit the new possibilities that are becoming available.


Table of Contents

 
 
  1  Introduction  {1}
     1.1 Introduction 
     1.2 Problem formulation 
     1.3 Preliminaries 
 
  2  Preliminary Analysis of Continuous LTR  {21}
     2.1 Introduction 
     2.2 Preliminary analysis 
         1 Luenberger observer based controller 
         2 Full order observer based controller 
         3 Reduced order observer based controller 
         4 Relationship between the recovery matrices
 
  3  Continuous LTR - Detailed Analysis  {37}
     3.1 Introduction
     3.2 Recovery analysis while not using the knowledge of F
     3.3 Analysis for recoverable target loop transfer functions
     3.4 Recovery analysis in a given subspace
     3.5 Duality of LTRI and LTRO
 
  4  Continuous LTR - Design  {87}
     4.1 Introduction  
     4.2 Design constraints and the available freedom  
     4.3 ATEA design method  
         1 General ATEA design  
         2 Design for exactly recoverable target loop transfer functions 
     4.4 Optimization based design methods 
         1 H2-optimization based design algorithms  
         2 H-infinity optimization based design algorithms 
     4.5 Design for recovery over a specified subspace 
     4.6 LTR design for output break point 
     4.7 Comparison of ATEA and optimization based design algorithms 
 
  5  Introduction to Discrete LTR  {145}
     5.1 Introduction 
     5.2 Problem formulation 
     5.3 Preliminaries 
 
  6  Preliminary Analysis of Discrete LTR  {157}
     6.1 Introduction 
     6.2 Controller structures for discrete LTR 
         1 Luenberger estimator based controller 
         2 Prediction estimator based controller 
         3 Current estimator based controller 
         4 Reduced order estimator based controller 
     6.3 Preliminary analysis 
 
  7  Discrete LTR - Detailed Analysis  {179}
     7.1 Introduction 
     7.2 Recovery analysis while not using the knowledge of F 
     7.3 Analysis for recoverable target loop transfer functions
     7.4 Recovery analysis in a given subspace 
     7.5 Duality of LTRI and LTRO 
 
  8  Discrete LTR - Design  {213}
     8.1 Introduction 
     8.2 Design constraints and the available freedom  
     8.3 Design by eigenstructure assignment 
     8.4 Optimization based design methods 
         1 H-infinity optimization based algorithm  
         2 H2-optimization based algorithm 
     8.5 Design for recovery over a specified subspace 
     8.6 LTR design for output break point 
 
  9  Closed-Loop Transfer Recovery  {245}
     9.1 Introduction 
     9.2 Continuous CLTR 
         1 Problem formulation 
         2 General analysis 
         3 Design methods and examples 
     9.3 Discrete CLTR  
         1 Problem formulation 
         2 General analysis  
         3 Design methods and examples  
 
  10 Some Issues of Controller Architecture  {293}
     10.1 Introduction 
     10.2 Recoverability with an arbitrarily structured controller 
     10.3 CSS architecture based controllers for LTR 
          1 Full order CSS architecture based controller  
          2 Reduced order CSS architecture based controller 
          3 Properties of the CSS architecture based controllers 
     10.4 Design examples 
     10.5 Open research problems 
 
     Bibliography  {341}
 
     Index  {349}
 

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