H2 Optimal Control

Ali Saberi, Washington State University
P. Sannuti, Rutgers University
Ben M. Chen, National University of Singapore

Prentice Hall International, London, 1995 (¥ PDF ¥)

Series in Systems and Control Engineering, xv/471 pages / ISBN 0-13-489782-X

From the Back Cover:

H2 Optimal Control presents a state-of-the-art view of H2 optimal control theory and the various design methods associated with it. The practical implications of these methods are considered throughout, and numerically implementable algorithms are provided for every aspect of the book, be it analysis or design. Such algorithms can easily be implemented by the use of commercially available software package on linear algebra such as MATLAB.

KEY FEATURES OF THE TEXT INCLUDE:

H2 Optimal Control can be used for graduate courses in departments of Aeronautics and Astronautics, Applied Mathematics, Chemical Engineering, Electrical Engineering and Mechanical Engineering. It will also be invaluable for practicing engineers in industry.

Table of Contents 

 
 
  *  Preface {xiii}
 
  1  Introduction {1}
     1.1  Introduction
     1.2  Notations and Terminology
 
  2  Statements of H2 Optimal and Suboptimal Control Problems {27}
     2.1  Introduction
     2.2  H2 Optimal Control Problems for Continuous and Discrete-time Systems
     2.3  H2 Optimal Control Problems for Sampled-data Systems
     2.4  H2 Suboptimal Control Problems for Continuous and Discrete-time Systems
     2.5  H2 Optimal Filtering Problem
 
  3  A Special Coordinate Basis (SCB) of Linear Multivariable Systems {52}
     3.1  SCB of Continuous-time Systems
     3.2  SCB of Discrete-time Systems
 
  4  Algebraic Riccati Equations, Linear Matrix Inequalities, & Quadratic Matrix Inequalities  {67}
     4.1  Continuous-time Algebraic Riccati Equations
     4.2  Discrete-time Algebraic Riccati Equations
     4.3  Continuous-time Linear Matrix Inequalities
     4.4  Discrete-time Linear Matrix Inequalities
     4.5  Continuous-time Quadratic Matrix Inequalities
 
  5  Infima, Existence, and Uniqueness Conditions - Continuous-time Systems {149}
     5.1  Introduction
     5.2  Disturbance Decoupling Problem with Measurement Feedback & Internal Stability
     5.3  H2 Almost Disturbance Decoupling Problem with Measurement Feedback 
     5.4  Auxiliary Systems and Their Properties
     5.5  The Determination of Infima  
     5.6  The Existence Conditions
     5.7  The Uniqueness Conditions
     5.8  Perfect Regulation
     5.9  H2 Almost Disturbance Decoupling Problem with Measurement Feedback - Revisited
 
  6  Infima, Existence, and Uniqueness Conditions - Discrete-time Systems  {202}
     6.1  Introduction
     6.2  Disturbance Decoupling Problem with Measurement Feedback & Internal Stability
     6.3  H2 Almost Disturbance Decoupling Problem with Measurement Feedback 
     6.4  Auxiliary Systems and Their Properties
     6.5  The Determination of Infima 
     6.6  The Existence Conditions
     6.7  The Uniqueness Conditions
     6.8  Perfect Regulation
     6.9  H2 Almost Disturbance Decoupling Problem with Measurement Feedback - Revisited
 
  7  H2 Optimal State Feedback Controllers - Continuous-time Systems {253}
     7.1  Introduction
     7.2  H2 Optimal Static State Feedback Laws & Their Fixed Modes & Fixed Decoupling Zeros
     7.3  H2 Optimal Dynamic State Feedback Laws & Their Fixed Modes & Fixed Decoupling Zeros
     7.4  H2 Optimal Control Problem with Pole Placement via Static State Feedback
     7.5  H2 Optimal State Feedback Control with an H-infinity Constraint
     7.6  Design Examples
 
  8  H2 Optimal State Feedback Controllers - Discrete-time Systems {306}
     8.1  Introduction
     8.2  H2 Optimal Static State Feedback Laws & Their Fixed Modes & Fixed Decoupling Zeros
     8.3  H2 Optimal Dynamic State Feedback Laws & Their Fixed Modes & Fixed Decoupling Zeros
     8.4  H2 Optimal Control Problem with Pole Placement via Static State Feedback
     8.5  H2 Optimal State Feedback Control with an H-infinity Constraint
     8.6  Design Example
 
  9  H2 Optimal Measurement Feedback Controllers - Continuous-time Systems {354}
     9.1  Introduction
     9.2  Characterization and Parameterization of All H2 Optimal Dynamic Measurement Feedback 
     9.3  Review of Controllers with Observer Based Architecture
     9.4  H2 Optimal Controllers with Observer Based Architecture
 
  10 H2 Optimal Measurement Feedback Controllers - Discrete-time Systems {402}
     10.1 Introduction
     10.2 Characterization and Parameterization of All H2 Optimal Dynamic Measurement Feedback 
     10.3 Review of Controllers with Estimator Based Architecture
     10.4 H2 Optimal Controllers with Estimator Based Architecture
 
  11 H2 Suboptimal State & Measurement Feedback Control for Continuous & Discrete-time Systems {457}
     11.1 Introduction
     11.2 Existence of an H2 Suboptimal Sequence of Controllers
     11.3 Construction of an H2 Suboptimal Sequence of Controllers
 
     References {461}
 
     Index {467}
 

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