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9780471511106

LINEAR OPTIMAL CONTROL SYSTEMS

LINEAR OPTIMAL CONTROL SYSTEMS
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  • ISBN-13: 9780471511106
  • ISBN: 0471511102
  • Publisher: Wiley & Sons, Incorporated, John

AUTHOR

Kwakernaak, Huibert, Sivan, Raphael

SUMMARY

Notation and Symbols Chapter 1 Elements of Linear System Theory 1.1 Introduction 1.2 State Description of Linear Systems 1.2.1 State Description of Nonlinear and Linear Differential Systems 1.2.2 Linearization 1.2.3 Examples 1.2.4 State Transformations 1.3 Solution of the State Differential Equation of Linear Systems 1.3.1 The Transition Matrix and the Impulse Response Matrix 1.3.2 The Transition Matrix of a Time-Invariant System 1.3.3 Diagonalization 1.3.4 The Jordan Form 1.4 Stability 1.4.1 Definitions of Stability 1.4.2 Stability of Time-Invariant Linear Systems 1.4.3 Stable and Unstable Subspaces for Time-Invariant Linear Systems 1.4.4 Investigation of the Stability of Nonlinear Systems through Linearization 1.5 Transform Analysis of Time-Invariant Systems 1.5.1 Solution of the State Differential Equation through Laplace Transformation 1.5.2 Frequency Response 1.5.3 Zeroes of Transfer Matrices 1.5.4 Interconnections of Linear Systems 1.5.5 Root Loci 1.6 Controllability 1.6.1 Definition of Controllability 1.6.2 Controllability of Linear Time-Invariant Systems 1.6.3 The Controllable Subspace 1.6.4 Stabilizability 1.6.5 Controllability of Time-Varying Linear Systems 1.7 Reconstructibility 1.7.1 Definition of Reconstructibility 1.7.2 Reconstructibility of Linear Time-Invariant Systems 1.7.3 The Unreconstructible Subspace 1.7.4 Detectability 1.7.5 Reconstructibility of Time-Varying Linear Systems 1.8 Duality of Linear Systems 1.9 Phase-Variable Canonical Forms 1.10 Vector Stochastic Processes 1.10.1 Definitions 1.10.2 Power Spectral Density Matrices 1.10.3 The Response of Linear Systems to Stochastic Inputs 1.10.4 Quadratic Expressions 1.11 The Response of Linear Differential Systems to White Noise 1.11.1 White Noise 1.11.2 Linear Differential Systems Driven by White Noise 1.11.3 The Steady-State Variance Matrix for the Time-Invariant Case 1.11.4 Modeling of Stochastic Processes 1.11.5 Quadratic Integral Expressions 1.12 Problems Chapter 2 Analysis of Linear Control Systems 2.1 Introduction 2.2 The Formulation of Control Problems 2.2.1 Introduction 2.2.2 The Formulation of Tracking and Regulator Problems 2.2.3 The Formulation of Terminal Control Problems 2.3 Closed-Loop Controllers; The Basic Design Objective 2.4 The Stability of Control Systems 2.5 The Steady-State Analysis of the Tracking Properties 2.5.1 The Steady-State Mean Square Tracking Error and Input 2.5.2 The Single-Input Single-Output Case 2.5.3 The Multiinput Multioutput Case 2.6 The Transient Analysis of the Tracking Properties 2.7 The Effects of Disturbances in the Single-Input Single-Output Case 2.8 The Effects of Observation Noise in the Single-Input Single-Output Case 2.9 The Effect of Plant Parameter Uncertainty in the Single-Input Single-Output Case 2.10 The Open-Loop Steady-State Equivalent Control Scheme 2.11 Conclusions 2.12 Problems Chapter 3 Optimal Linear State Feedback Control Systems 3.1 Introduction 3.2 Stability Improvement of Linear Systems by State Feedback 3.2.1 Linear State Feedback Control 3.2.2 Conditions for Pole Assignment and Stabilization 3.3 The Deterministic Linear Optimal Regulator Problem 3.3.1 Introduction 3.3.2 Solution of the Regulator Problem 3.3.3 Derivation of the Riccati Equation 3.4 Steady-State Solution of the Deterministic Linear Optimal Regulator Problem 3.4.1 Introduction and Summary of Main Results 3.4.2 Steady-State Properties of Optimal Regulators 3.4.3 Steady-StaKwakernaak, Huibert is the author of 'LINEAR OPTIMAL CONTROL SYSTEMS' with ISBN 9780471511106 and ISBN 0471511102.

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