《SYNTHESIS OF OPTIMUM NONLINEAR CONTROL SYSTEMS》

1.THE NONLINEAR CONTROL PROBLEM1

1.The Relation between Communication and Control Systems2

2.An Approach to the Nonlinear Compensation Problem5

2.NONLINEAR SYSTEM CHARACTERIZATION8

1.The Functional Representation8

2.Generality of Functional Representation13

3.Multidimensional Transform Theory18

4.Properties of the Transforms of Multidimensional Kernels23

Realizable Impulse Responses24

Generalized Hilbert Transform26

Gain-Phase Relations32

Stability of nth-Order Kernels37

3.FUNCTIONAL POWER SERIES COMPENSATION SOLUTION41

1.General Approach41

2.Algorithm for Determining Series Compensator Kernels45

3.Algorithm for Determining Feedback Compensator Kernels61

4.Convergence Properties64

4.CLOSED-FORM COMPENSATION SOLUTION74

1.Wiener Filters74

2.Simple Nonlinear Filters77

5.CONTROLLABILITY OF FIXED ELEMENTS83

1.Preinverses of a Nonlinear System83

2.Stability in the Large of Preinverses86

3.Stability Investigation Using Expansion Techniques92

6.CRITIQUE AND EXTENSIONS97

REFERENCES99

INDEX102