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


Get Signal Processing for Active Control now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.