Linear and Nonlinear Multivariable Feedback Control: A Classical Approach

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.

Bibliography.

Index.