- deals with the most general
*H*2 optimal control problem - a crucial component of multivariable control theory - investigates thoroughly every aspect of the
*H*2 optimal control problem - emphasizes the control engineer's point of view throughout - i.e., identifies and solves issues and problems that a control engineer faces in arriving at a practically acceptable design

P. Sannuti, Rutgers University

Ben M. Chen, National University of Singapore

Prentice Hall International, London, 1995
(*...this title is out of print...*)

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

*H2 Optimal Control*
presents a state-of-the-art view of *H*2 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:*

Preface {xiii}1 Introduction {1}1.1 Introduction 1.2 Notations and Terminology2 Statements of2.1 Introduction 2.2H2 Optimal and Suboptimal Control Problems {27}H2 Optimal Control Problems for Continuous and Discrete-time Systems 2.3H2 Optimal Control Problems for Sampled-data Systems 2.4H2 Suboptimal Control Problems for Continuous and Discrete-time Systems 2.5H2 Optimal Filtering Problem3 A Special Coordinate Basis (SCB) of Linear Multivariable Systems {52}3.1 SCB of Continuous-time Systems 3.2 SCB of Discrete-time Systems4 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 Inequalities5 Infima, Existence, and Uniqueness Conditions - Continuous-time Systems {149}5.1 Introduction 5.2 Disturbance Decoupling Problem with Measurement Feedback & Internal Stability 5.3H2 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 5.9H2 Almost Disturbance Decoupling Problem with Measurement Feedback - Revisited6 Infima, Existence, and Uniqueness Conditions - Discrete-time Systems {202}6.1 Introduction 6.2 Disturbance Decoupling Problem with Measurement Feedback & Internal Stability 6.3H2 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 6.9H2 Almost Disturbance Decoupling Problem with Measurement Feedback - Revisited77.1 Introduction 7.2H2 Optimal State Feedback Controllers - Continuous-time Systems {253}H2 Optimal Static State Feedback Laws & Their Fixed Modes & Fixed Decoupling Zeros 7.3H2 Optimal Dynamic State Feedback Laws & Their Fixed Modes & Fixed Decoupling Zeros 7.4H2 Optimal Control Problem with Pole Placement via Static State Feedback 7.5H2 Optimal State Feedback Control with an H-infinity Constraint 7.6 Design Examples88.1 Introduction 8.2H2 Optimal State Feedback Controllers - Discrete-time Systems {306}H2 Optimal Static State Feedback Laws & Their Fixed Modes & Fixed Decoupling Zeros 8.3H2 Optimal Dynamic State Feedback Laws & Their Fixed Modes & Fixed Decoupling Zeros 8.4H2 Optimal Control Problem with Pole Placement via Static State Feedback 8.5H2 Optimal State Feedback Control with an H-infinity Constraint 8.6 Design Example99.1 Introduction 9.2 Characterization and Parameterization of AllH2 Optimal Measurement Feedback Controllers - Continuous-time Systems {354}H2 Optimal Dynamic Measurement Feedback 9.3 Review of Controllers with Observer Based Architecture 9.4H2 Optimal Controllers with Observer Based Architecture1010.1 Introduction 10.2 Characterization and Parameterization of AllH2 Optimal Measurement Feedback Controllers - Discrete-time Systems {402}H2 Optimal Dynamic Measurement Feedback 10.3 Review of Controllers with Estimator Based Architecture 10.4H2 Optimal Controllers with Estimator Based Architecture1111.1 Introduction 11.2 Existence of anH2 Suboptimal State & Measurement Feedback Control for Continuous & Discrete-time Systems {457}H2 Suboptimal Sequence of Controllers 11.3 Construction of anH2 Suboptimal Sequence of ControllersReferences {461}Index {467}