Adding Rigid Body Modes and low pass Filters to the Biquad State Space and Multinotch

This paper presents several useful extensions to the Multinotch Filter (MNF) [1], [2] and the Biquad State Space (BSS) structure [3] [4] that are useful for adding low pass filters (LPF) and rigid body models to those structures. The paper is in the form of a programmatic toolkit, which allows these structures to be including without distorting the original benefits of the MNF or the BSS. As such, they make those structures applicable to a larger set of dynamic models.

[1]  S. Liberty,et al.  Linear Systems , 2010, Scientific Parallel Computing.

[2]  Daniel Y. Abramovitch,et al.  The continuous time biquad state space structure , 2015, 2015 American Control Conference (ACC).

[3]  L.Y. Pao,et al.  A Tutorial on the Mechanisms, Dynamics, and Control of Atomic Force Microscopes , 2007, 2007 American Control Conference.

[4]  H. Kwakernaak,et al.  Feedback Systems , 2009, Encyclopedia of Database Systems.

[5]  Daniel Y. Abramovitch,et al.  A unified framework for analog and digital PID controllers , 2015, 2015 IEEE Conference on Control Applications (CCA).

[6]  Paul K. Hansma,et al.  DESIGN AND CHARACTERIZATION OF A NOVEL SCANNER FOR HIGH-SPEED ATOMIC FORCE MICROSCOPY , 2006 .

[7]  Daniel Y. Abramovitch,et al.  The multinotch, part I: A low latency, high numerical fidelity filter for mechatronic control systems , 2015, 2015 American Control Conference (ACC).

[8]  Daniel Y. Abramovitch,et al.  The discrete time Biquad State Space structure: Low latency with high numerical fidelity , 2015, 2015 American Control Conference (ACC).

[9]  Daniel Y. Abramovitch,et al.  The multinotch, part II: Extra precision via Δ coefficients , 2015, 2015 American Control Conference (ACC).

[10]  Daniel Y. Abramovitch,et al.  Trying to keep it real: 25 Years of trying to get the stuff I learned in grad school to work on mechatronic systems , 2015, 2015 IEEE Conference on Control Applications (CCA).

[11]  Daniel Y. Abramovitch,et al.  Fitting Discrete-Time Models to Frequency Responses for Systems With Transport Delay , 2011 .

[12]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .