Linear optimal control systems

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Linear optimal control systems / Huibert Kwakernaak, Raphael Sivan

資料種別:

図書

出版情報:

New York : Wiley Interscience, c1972

形態:

xxv, 575 p. ; 24 cm

著者名:

ISBN:

9780471511106 [0471511102]

書誌ID:

BA00823946

子書誌情報

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書誌詳細

注記:

Bibliography: p. 553-561
Includes index

主題:

Automatic control; Control theory

言語:

英語

目次情報:

Notation and Symbols

Elements of Linear System Theory / Chapter 1：

Introduction / 1.1：

State Description of Linear Systems / 1.2：

State Description of Nonlinear and Linear Differential Systems / 1.2.1：

Linearization / 1.2.2：

Examples / 1.2.3：

State Transformations / 1.2.4：

Solution of the State Differential Equation of Linear Systems / 1.3：

The Transition Matrix and the Impulse Response Matrix / 1.3.1：

The Transition Matrix of a Time-Invariant System / 1.3.2：

Diagonalization / 1.3.3：

The Jordan Form / 1.3.4：

Stability / 1.4：

Definitions of Stability / 1.4.1：

Stability of Time-Invariant Linear Systems / 1.4.2：

Stable and Unstable Subspaces for Time-Invariant Linear Systems / 1.4.3：

Investigation of the Stability of Nonlinear Systems through Linearization / 1.4.4：

Transform Analysis of Time-Invariant Systems / 1.5：

Solution of the State Differential Equation through Laplace Transformation / 1.5.1：

Frequency Response / 1.5.2：

Zeroes of Transfer Matrices / 1.5.3：

Interconnections of Linear Systems / 1.5.4：

Root Loci / 1.5.5：

Controllability / 1.6：

Definition of Controllability / 1.6.1：

Controllability of Linear Time-Invariant Systems / 1.6.2：

The Controllable Subspace / 1.6.3：

Stabilizability / 1.6.4：

Controllability of Time-Varying Linear Systems / 1.6.5：

Reconstructibility / 1.7：

Definition of Reconstructibility / 1.7.1：

Reconstructibility of Linear Time-Invariant Systems / 1.7.2：

The Unreconstructible Subspace / 1.7.3：

Detectability / 1.7.4：

Reconstructibility of Time-Varying Linear Systems / 1.7.5：

Duality of Linear Systems / 1.8：

Phase-Variable Canonical Forms / 1.9：

Vector Stochastic Processes / 1.10：

Definitions / 1.10.1：

Power Spectral Density Matrices / 1.10.2：

The Response of Linear Systems to Stochastic Inputs / 1.10.3：

Quadratic Expressions / 1.10.4：

The Response of Linear Differential Systems to White Noise / 1.11：

White Noise / 1.11.1：

Linear Differential Systems Driven by White Noise / 1.11.2：

The Steady-State Variance Matrix for the Time-Invariant Case / 1.11.3：

Modeling of Stochastic Processes / 1.11.4：

Quadratic Integral Expressions / 1.11.5：

Problems / 1.12：

Analysis of Linear Control Systems / Chapter 2：

The Formulation of Control Problems / 2.1：

The Formulation of Tracking and Regulator Problems / 2.2.1：

The Formulation of Terminal Control Problems / 2.2.3：

Closed-Loop Controllers / 2.3：

The Basic Design Objective

The Stability of Control Systems / 2.4：

The Steady-State Analysis of the Tracking Properties / 2.5：

The Steady-State Mean Square Tracking Error and Input / 2.5.1：

The Single-Input Single-Output Case / 2.5.2：

The Multiinput Multioutput Case / 2.5.3：

The Transient Analysis of the Tracking Properties / 2.6：

The Effects of Disturbances in the Single-Input Single-Output Case / 2.7：

The Effects of Observation Noise in the Single-Input Single-Output Case / 2.8：

The Effect of Plant Parameter Uncertainty in the Single-Input Single-Output Case / 2.9：

The Open-Loop Steady-State Equivalent Control Scheme / 2.10：

Conclusions / 2.11：

Optimal Linear State Feedback Control Systems / 2.12：

Stability Improvement of Linear Systems by State Feedback / 3.1：

Linear State Feedback Control / 3.2.1：

Conditions for Pole Assignment and Stabilization / 3.2.2：

The Deterministic Linear Optimal Regulator Problem / 3.3：

Solution of the Regulator Problem / 3.3.1：

Derivation of the Riccati Equation / 3.3.3：

Steady-State Solution of the Deterministic Linear Optimal Regulator Problem / 3.4：

Introduction and Summary of Main Results / 3.4.1：

Steady-State Properties of Optimal Regulators / 3.4.2：

Steady-State Properties of the Time-Invariant Optimal Regulator / 3.4.3：

Solution of the Time-Invariant Regulator Problem by Diagonalization / 3.4.4：

Numerical Solution of the Riccati Equation / 3.5：

Direct Integration / 3.5.1：

The Kalman-Englar Method / 3.5.2：

Solution by Diagonalization / 3.5.3：

Solution by the Newton-Raphson Method / 3.5.4：

Stochastic Linear Optimal Regulator and Tracking Problems / 3.6：

Regulator Problems with DisturbancesThe Stochastic Regulator Problem / 3.6.1：

Stochastic Tracking Problems / 3.6.2：

Solution of the Stochastic Linear Optimal Regulator Problem / 3.6.3：

Regulators and Tracking Systems with Nonzero Set Points and Constant Disturbances / 3.7：

Nonzero Set Points / 3.7.1：

Constant Disturbances / 3.7.2：

Asymptotic Properties of Time-Invariant Optimal Control Laws / 3.8：

Asymptotic Behavior of the Optimal Closed-Loop Poles / 3.8.1：

Asymptotic Properties of the Single-Input Single-Output Nonzero Set Point Regulator / 3.8.2：

The Maximally Achievable Accuracy of Regulators and Tracking Systems / 3.8.3：

Sensitivity of Linear State Feedback Control Systems / 3.9：

Optimal Linear Reconstruction of the State / 3.10：

Observers / 4.1：

Full-Order Observers / 4.2.1：

Conditions for Pole Assignment and Stabilization of Observers / 4.2.2：

Reduced-Order Observers / 4.2.3：

The Optimal Observer / 4.3：

A Stochastic Approach to the Observer Problem / 4.3.1：

The Nonsingular Optimal Observer Problem with Uncorretated State Excitation and Observation Noises / 4.3.2：

The Nonsingular Optimal Observer Problem with Correlated State Excitation and Observation Noises / 4.3.3：

The Time-Invariant Singular Optimal Observer Problem / 4.3.4：

The Colored Noise Observation Problem / 4.3.5：

Innovations / 4.3.6：

The Duality of the Optimal Observer and the Optimal Regulator / 4.4：

Steady-State Properties of the Optimal Observer

The Duality of the Optimal Regulator and the Optimal Observer Problem / 4.4.1：

Asymptotic Properties of Time-Invariant Steady-State Optimal Observers / 4.4.3：

Optimal Linear Output Feedback Control Systems / 4.5：

The Regulation of Linear Systems with Incomplete Measurements / 5.1：

The Structure of Output Feedback Control Systems / 5.2.1：

Conditions for Pole Assignment and Stabilization of Output Feedback Control Systems / 5.2.2：

Optimal Linear Regulators with Incomplete and Noisy Measurements / 5.3：

Problem Formulation and Solution / 5.3.1：

Evaluation of the Performance of Optimal Output Feedback Regulators / 5.3.2：

Proof of the Separation Principle / 5.3.3：

Linear Optimal Tracking Systems with Incomplete and Noisy Measurements / 5.4：

Sensitivity of Time-Invariant Optimal Linear Output Feedback Control Systems / 5.5：

Linear Optimal Output Feedback Controllers of Reduced Dimensions / 5.7：

Controllers of Reduced Dimensions / 5.7.1：

Numerical Determination of Optimal Controllers of Reduced Dimensions / 5.7.3：

Linear Optimal Control Theory for Discrete-Time Systems / 5.8：

Theory of Linear Discrete-Time Systems / 6.1：

State Description of Linear Discrete-Time Systems / 6.2.1：

Interconnections of Discrete-Time and Continuous-Time Systems / 6.2.3：

Solution of State Difference Equations / 6.2.4：

Transform Analysis of Linear Discrete-Time Systems / 6.2.5：

Duality / 6.2.7：

Discrete-Time Vector Stochastic Processes / 6.2.10：

Linear Discrete-Time Systems Driven by White Noise / 6.2.12：

Analysis of Linear Discrete-Time Control Systems / 6.3：

Discrete-Time Linear Control Systems / 6.3.1：

The Steady-State and the Transient Analysis of the Tracking Properties / 6.3.3：

Further Aspects of Linear Discrete-Time Control System Performance / 6.3.4：

Optimal Linear Discrete-Time State Feedback Control Systems / 6.4：

Stability Improvement by State Feedback / 6.4.1：

The Linear Discrete-Time Optimal Regulator Problem / 6.4.3：

Steady-State Solution of the Discrete-Time Regulator Problem / 6.4.4：

The Stochastic Discrete-Time Linear Optimal Regulator / 6.4.5：

Linear Discrete-Time Regulators with Non-zero Set Points and Constant Disturbances / 6.4.6：

Sensitivity / 6.4.7：

Optimal Linear Reconstruction of the State of Linear Discrete-Time Systems / 6.5：

The Formulation of Linear Discrete- / 6.5.1：

Notation and Symbols

Elements of Linear System Theory / Chapter 1：

Introduction / 1.1：

State Description of Linear Systems / 1.2：

State Description of Nonlinear and Linear Differential Systems / 1.2.1：

Linearization / 1.2.2：

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