Multichannel Control of Tonal Disturbances
4.1 Introduction
4.1.1 Chapter outline
4.2 Optimal control of tonal disturbances
4.2.1 Overdetermined systems
4.2.2 Shape of the error surface
4.2.3 Fully-determined systems
4.2.4 Underdetermined systems
4.2.5 The pseudo inverse
4.2.6 Minimisation of a general cost function
4.3 Steepest-descent algorithms
4.3.1 Complex gradient vector
4.3.2 Transformation into the principal coordinates
4.3.3 Convergence in the principal coordinates
4.3.4 The well-balanced system
4.3.5 Convergence of the control effort
4.3.6 Trade-off between error attenuation and control effort
4.3.7 Scheduling of effort weighting parameter
4.4 Robustness to plant uncertainties and plant model errors
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