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Linear and Nonlinear Multivariable Feedback Control by Oleg Gasparyan

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Contents

Preface

Part I Linear Multivariable Control Systems

1 Canonical representations and stability analysis of linear MIMO systems

1.1 Introduction

1.2 General linear square MIMO systems

1.2.1 Transfer matrices of general MIMO systems

1.2.2 MIMO system zeros and poles

1.2.3 Spectral representation of transfer matrices: characteristic transfer functions and canonical basis

1.2.4 Stability analysis of general MIMO systems

1.2.5 Singular value decomposition of transfer matrices

1.3 Uniform MIMO systems

1.3.1 Characteristic transfer functions and canonical representations of uniform MIMO systems

1.3.2 Stability analysis of uniform MIMO systems

1.4 Normal MIMO systems

1.4.1 Canonical representations of normal MIMO systems

1.4.2 Circulant MIMO systems

1.4.3 Anticirculant MIMO systems

1.4.4 Characteristic transfer functions of complex circulant and anticirculant systems

1.5 Multivariable root loci

1.5.1 Root loci of general MIMO systems

1.5.2 Root loci of uniform systems

1.5.3 Root loci of circulant and anticirculant systems

2 Performance and design of linear MIMO systems

2.1 Introduction

2.2 Generalized frequency response characteristics and accuracy of linear MIMO systems under sinusoidal inputs

2.2.1 Frequency characteristics of general MIMO systems

2.2.2 Frequency characteristics and oscillation index of normal MIMO systems

2.2.3 Frequency characteristics and oscillation index of uniform MIMO systems

2.3 Dynamical accuracy of MIMO systems under slowly changing deterministic signals ...

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