A Hadamard weighted loop shaping design procedure

Author(s):  
F. van Diggelen ◽  
K. Glover
2021 ◽  
Vol 26 (1) ◽  
pp. 21
Author(s):  
Ahmad Taher Azar ◽  
Fernando E. Serrano ◽  
Nashwa Ahmad Kamal

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.


2008 ◽  
Vol 41 (2) ◽  
pp. 2002-2007 ◽  
Author(s):  
Keitaro Ohno ◽  
Shinji Hara ◽  
Naoshi Yamahira ◽  
Takayuki Kawabe ◽  
Tsugito Maruyama

Automatica ◽  
1994 ◽  
Vol 30 (5) ◽  
pp. 831-845 ◽  
Author(s):  
F. Van Diggelen ◽  
K. Glover

2008 ◽  
Vol 17 (02) ◽  
pp. 279-295 ◽  
Author(s):  
S. K. PATNAIK ◽  
B. UMAMAHESWARI

This paper presents a simple and systematic approach to the design of an H∞ loop-shaping controller for a boost converter operating in continuous conduction mode. Using an averaged linear model of the converter, a robust controller is developed, guaranteeing stability, and the desired closed-loop dynamic response. A controller exists if and only if the unique stabilizing solutions to two algebric Riccati equations are positive definite and the spectral radius of their product is less than [Formula: see text]. Under these conditions, a compact control structure is obtained and the controller is parameterized. The main contribution of the tuning rules is that the controller parameters can be obtained using one design parameter which reflects the trade-off between stability robustness and time domain performance. Various aspects of the design, including the associated practical problems and the proposed solutions, are detailed. Simulation results are presented to illustrate the design procedure.


2000 ◽  
Vol 82 (3-4) ◽  
pp. 217-224 ◽  
Author(s):  
T. B. Petrović ◽  
A. Ž. Rakić ◽  
S. L. Korać

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