Active Control of Nonlinear Systems
8.1 Introduction
8.1.1 Weakly nonlinear systems
8.1.2 Chaotic systems
8.1.3 Chapter outline
8.2 Analytical descriptions of nonlinear systems
8.2.1 The Volterra series
8.2.2 The NARMAX model
8.3 Neural networks
8.3. 1 Multilayer perceptrons
8.3.2 Backpropagation algorithms
8.3.3 Application to modelling dynamic systems
8.3.4 Radial basis function networks
8.4 Adaptive feedforward control
8.4.1 Inversion of a static nonlinearity
8.4.2 Harmonic control of periodic disturbances
8.4.3 Neural controller for random disturbances
8.4.4 Control of a backlash function
8.5 Chaotic systems
8.5.1 Attractors
8.5.2 Lyapunov exponents
8.6 Control of chaotic behaviour
8.6.1 The OGY ...
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