H∞ loop-shaping control of a PLL-based oscillation loop for dynamic resonance tracking in NEMS mass sensors arrays

2009 ◽  
Author(s):  
Chady Kharrat ◽  
Eric Colinet ◽  
Alina Voda
Keyword(s):  
Mass Sensors ◽  
Loop Shaping ◽  
Oscillation Loop ◽  
Dynamic Resonance

scholarly journals Research and Design of High Sensitivity FBAR Micro-mass Sensors

2021 ◽  
Vol 632 ◽  
pp. 042014
Author(s):  
Jiatai Ren ◽  
Hequn Chu ◽  
Yuhui Bai ◽  
Rui Wang ◽  
Pengguang Chen ◽  
...  
Keyword(s):  
High Sensitivity ◽  
Mass Sensors ◽  
Research And Design

scholarly journals Robust H∞ Loop Shaping Controller Synthesis for SISO Systems by Complex Modular Functions

2021 ◽  
Vol 26 (1) ◽  
pp. 21
Author(s):  
Ahmad Taher Azar ◽  
Fernando E. Serrano ◽  
Nashwa Ahmad Kamal
Keyword(s):  
Design Methodology ◽  
Closed Loop ◽  
Complex Analysis ◽  
Controller Design ◽  
Filter Design ◽  
Design Procedure ◽  
Elliptic Functions ◽  
Loop System ◽  
Closed Loop System ◽  
Loop Shaping

In this paper, a loop shaping controller design methodology for single input and a single output (SISO) system is proposed. The theoretical background for this approach is based on complex elliptic functions which allow a flexible design of a SISO controller considering that elliptic functions have a double periodicity. The gain and phase margins of the closed-loop system can be selected appropriately with this new loop shaping design procedure. The loop shaping design methodology consists of implementing suitable filters to obtain a desired frequency response of the closed-loop system by selecting appropriate poles and zeros by the Abel theorem that are fundamental in the theory of the elliptic functions. The elliptic function properties are implemented to facilitate the loop shaping controller design along with their fundamental background and contributions from the complex analysis that are very useful in the automatic control field. Finally, apart from the filter design, a PID controller loop shaping synthesis is proposed implementing a similar design procedure as the first part of this study.

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