Short description Providing a holistic approach to multivariable control theory, Linear and Nonlinear Multivariable Feedback Control: A Classical Approach demonstrates how the classical (frequency-domain and root) engineering methods look in a multidimensional case, and how a practicing engineer or researcher can apply them to the analysis and design of linear and nonlinear MIMO systems. All theoretical statements of the book are illustrated by numerous worked examples of different practical MIMO systems. The numerical calculations are accomplished with the help of MATLAB.
From the contents Preface
Part I Linear Multivariable Control System
1 Canonical representations and stability analysis of linear MIMO systems
1.1 Introduction
1.2 General linear square MIMO systems
1.3 Uniform MIMO systems
1.4 Normal MIMO systems
1.5 Multivariable root loci
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
2.3 Dynamical accuracy of MIMO systems under slowly changing
deterministic signals
2.4 Statistical accuracy of linear MIMO systems
2.5 Design of linear MIMO systems
Part II Nonlinear multivariable control systems
3 Study of one-frequency self-oscillation in nonlinear harmonically
linearized MIMO systems
3.1 Introduction
3.2 Mathematical foundations of the harmonic linearization method for
one-frequency periodical processes in nonlinear MIMO systems
3.3 One-frequency limit cycles in general MIMO systems
3.4 Limit cycles in uniform MIMO systems
3.5 Limit cycles in circulant and anticirculant MIMO systems
4 Forced oscillation and generalized frequency response characteristics
of nonlinear MIMO systems
4.1 Introduction
4.2 Nonlinear general MIMO systems
4.3 Nonlinear uniform MIMO systems
4.4 Forced oscillations and frequency response characteristics along the
canonical basis axes of nonlinear circulant and anticirculant systems
4.5 Design of nonlinear MIMO systems
5 Absolute stability of nonlinear MIMO systems
5.1 Introduction
5.2 Absolute stability of general and uniform MIMO systems
5.3 Absolute stability of normal MIMO systems
5.4 Off-axis circle and parabolic criteria of the absolute stability of mimo systems
5.5 Multidimensional circle criteria of absolute stability
5.6 Multidimensional circle criteria of the absolute stability of forced motions
