Piezoelectric Actuators: Vector Control Method: Base, Modeling and Mechatronic Design of Ultrasonic Devices guides researchers and engineers through the process of implementing the vector control method (VCM) in their systems. The book presents which measurements can be made, how to visualize a variable as a rotating vector, about the angular position of the rotating reference frame, how to calculate the parameters of the controllers, and how to observe key variables. Additionally, the book focuses on the modeling of PE ultrasonic transducers and investigates the energy conversion process in an ultrasonic transducer.

Revised chapters from the previous edition, with the inclusion of many additional materials on some important topics, including compress sensing, estimation with convex constraints, the slope estimator, simultaneously low rank and row sparse linear regression, or aggregation of a continuous set of estimators. Three new chapters on iterative algorithms, clustering and minimax lower bounds. Enhanced appendices,minimax lower-bounds mainly with the addition of Davis-Kahan perturbation bound and of two simple versions of Hanson-Wright concentration inequality.