2014/08/11 by Hugh L. Kennedy, Kennedy, Hugh L.
Engineering · #Advanced Adaptive Filtering Techniques #Advanced Control Systems Design #Control Systems and Identification #FOS: Electrical engineering #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1408.2293
openalex publication_date 2014/08/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A controller design technique for shaping the frequency response of a process is described. A general linear model (GLM) is used to define the form of a lag or lead compensator in discrete time using a prescribed set of basis functions. The model is then transformed via the complex z-domain into a difference equation for a recursive digital filter with an infinite impulse response (IIR). A polynomial basis set is better for shaping the frequency response in the near-zero region; whereas a sinusoidal basis set is better for defining the response at arbitrary frequencies. The proposed compensator design method is more flexible than existing low-order approaches and more suitable than other general-purpose high-order methods. Performance of the resulting controller is compared with digital proportional-integral-differential (PID) and linear-state-space (LSS) algorithms in a real motor-control application.