On the Application of a Frequency Domain Controller Design Methodology to Non-Minimum Phase and Unstable Systems

1990 ◽  
Author(s):  
Massoud Sobhani ◽  
Suhada Jayasuriya
Keyword(s):  
Frequency Domain ◽  
Design Methodology ◽  
Controller Design ◽  
Minimum Phase ◽  
Unstable Systems

Incorporating Right Half-Plane Poles and Zeros in a Frequency Domain Design Technique

1994 ◽  
Vol 116 (4) ◽  
pp. 593-601 ◽  
Author(s):  
Massoud Sobhani ◽  
Suhada Jayasuriya
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Design Methodology ◽  
Minimum Phase ◽  
Phase Problem ◽  
Nonminimum Phase ◽  
Phase Loop ◽  
Poles And Zeros ◽  
Bounded Disturbance ◽  
Domain Constraints

The frequency domain design methodology developed in Jayasuriya and Franchek (1988) for the synthesis of controllers that maximize the allowable size of an unknown-but-bounded disturbance in the presence of several time domain constraints is revisited. It is shown that (i) the basic ingredients of the methodology stays essentially the same for systems with nonminimum phase zeros and/or unstable poles, and (ii) two modifications can facilitate the loop shaping step. In particular, a nonminimum phase problem may be converted to one of frequency shaping a minimum phase loop; and a prestabilization scheme may be used for unstable systems. Two examples illustrate the proposed modifications with one compared to results obtained by the so called Set-Theoretic (ST) approach.

Robust Nondiagonal Controller Design for Uncertain Multivariable Regulating Systems

1997 ◽  
Vol 119 (1) ◽  
pp. 80-85 ◽  
Author(s):  
M. A. Franchek ◽  
P. Herman ◽  
O. D. I. Nwokah
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Design Methodology ◽  
Controller Design ◽  
Parametric Uncertainty ◽  
Specific Class ◽  
Loop Design ◽  
Hard Time ◽  
System Integrity ◽  
Frequency Domain Approach

Presented in this paper is a robust controller design methodology for a class of uncertain, multivariable, regulating systems required to maintain a prespecified operating condition within hard time domain tolerances despite a vector of step disturbances. The design methodology is a frequency domain approach and is based on sequential loop design where a Gauss elimination technique facilitates the various design steps. The specific class of systems addressed are those which can be modeled as square, multivariable systems with parametric uncertainty. One restriction imposed is that the system and its inverse are stable for all plant parameter combinations. The key features of this design methodology include (i) the design of a fully populated controller matrix, (ii) the ability to design for system integrity, and (iii) the direct enforcement of hard time domain tolerances through frequency domain amplitude inequalities.

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.

On two-step controller design for partially unknown unstable systems

2015 ◽  
Author(s):  
Amin Noshadi ◽  
Wee Sit Lee ◽  
Juan Shi ◽  
Peng Shi ◽  
Akhtar Kalam
Keyword(s):  
Controller Design ◽  
Unstable Systems

A controller design methodology for close headway spacing strategies for automated vehicles

2007 ◽  
Vol 80 (2) ◽  
pp. 179-189 ◽  
Author(s):  
A. González-Villaseñor ◽  
A. C. Renfrew ◽  
P. J. Brunn
Keyword(s):  
Design Methodology ◽  
Controller Design ◽  
Automated Vehicles

DESIGN OF RECURSIVE FILTERS

Geophysics ◽  
1970 ◽  
Vol 35 (2) ◽  
pp. 247-253 ◽  
Author(s):  
Raymundo Aguilera ◽  
J. CL. Debremaecker ◽  
Salvador Hernandez
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Minimum Phase ◽  
Recursive Filter ◽  
Recursive Filters ◽  
The Time Domain

Recursive filters are inherently more efficient than purely transverse or purely regressive ones. They can be computed in the frequency domain by a series of simple operations. The roots of the denominator must be computed and the moduli less than unity replaced by their inverses. If such an operation is also performed on the numerator, the resultant recursive filter is minimum phase. The same method can be used to construct a deconvolution operator in the time domain, starting with the autocorrelation. Two examples are given which show the efficiency of the method.

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