The problem of undesirable acoustic noise is prevalent in both commercial and industrial applications. Traditional solutions of noise control have largely been passive damping and insolation, however in the present work, we explore the possibility of active noise control (ANC) which can provide significant noise reduction with smaller, lighter, and at times, cheaper solutions. The present work concerns development of retrospective cost adaptive control (RCAC) and the application of RCAC to ANC.

An alternative interpretation of the retrospective performance is presented which views the retrospective performance variable as a combination of the pseudo-performance and the model-matching error. We demonstrate a practical application of RCAC in a broadband feedback road noise suppression problem in a vehicle. This leads to the question, if you suppress the noise at the performance microphone, what is effect at the actual ear of the driver where you may not be able to place a sensor and the development of the concept of spatial. The framework of RCAC is then extended to the feedforward control problem. We make comparisons of RCAC feedforward to linear-quadratic-Gaussian (LQG) control and the classic filtered-x least-mean-square (FxLMS) algorithm as well as demonstrate RCAC in an acoustic experiment.

Dissertation Committee
Chair: Professor Dennis S. Bernstein
Cognate Member: Professor Karl Grosh
Members: Professor Anouck Girard and Professor Peter D. Washabaugh


Publications

Journal Papers
"Retrospective Cost Adaptive Control Pole Placement, Frequency Response, and Connections with LQG Control," IEEE Control Systems Magazine (Pending Publication)

"On Spatial Spillover in Feedforward and Feedback Noise Control," Journal of Sound and Vibration, (March 2017)

Conference Papers
"Experimental Investigation of Spatial Spillover in Adaptive Active Feedback Control of Broadband Disturbances in a 3D Acoustic Space," IEEE American Control Conference (2016)

"A Tutorial and Overview of Retrospective-Cost-Based Adaptive Control," IEEE American Control Conference (2016)

"A Numerical Comparison of Inertia-Free Attitude Control Laws for a Spacecraft with a Discrete Flexible Mode.," AIAA Guidance, Navigation, and Control Conference (2012)