scholarly journals Influence of Transfer Function Zeros on Controller Parameters

2017 ◽  
Vol 4 (53) ◽  
pp. 73
Author(s):  
Artur Aleksandrovich Abdullin ◽  
Valentin Nilovich Drozdov ◽  
Aleksandr Gennad`yevich Mamatov
Keyword(s):  
Transfer Function ◽  
Function Zeros

Physical Properties of Transfer Function Zeros for Collocated Control in Flexible Structure System

1995 ◽  
Author(s):  
Chingyei Chung ◽  
Chin-yuh Lin
Keyword(s):  
Transfer Function ◽  
Circulatory System ◽  
Flexible Structure ◽  
Structure System ◽  
Zero Dynamic ◽  
Damping Matrix ◽  
Generalized Force ◽  
Function Zeros ◽  
Gyroscopic Systems ◽  
Collocated Control

Abstract In this paper, the physical meaning of transfer function zeros for collocated control in a general flexible structure system is discussed. For a flexible structure system, we propose the “Zero Dynamic Theorem”. The theorem states that in a flexible structure system, the flexible structure can be a circulatory system (non-sysmetric stiffness matrix) with viscous and gyroscopic damping (non-symmetric damping matrix), if the sensor output (generalized displacement) and the actuator input (generalized force) are “dual type” and the transfer function is strict proper and coprime (no pole/zero cancellation); then, the transfer function zeros are the natural frequencies of constrained structure. Furthermore, with this theorem, the interlacing pole/zero property for the gyroscopic systems is presented.

Physical Interpretation of Transfer Function Zeros for Simple Control Systems With Mechanical Flexibilities

1991 ◽  
Vol 113 (3) ◽  
pp. 419-424 ◽  
Author(s):  
D. K. Miu
Keyword(s):  
Transfer Function ◽  
Control Systems ◽  
Physical Interpretation ◽  
Complex Conjugate ◽  
Flexible Structure ◽  
Resonant Frequencies ◽  
Nonminimum Phase ◽  
Flexible Control ◽  
Real Zeros ◽  
Function Zeros

Physical interpretation of the transfer function zeros of simple control systems with mechanical flexibilities is presented. It is shown that for discrete spring-mass systems and elastic beams, the poles are the resonant frequencies of the flexible structure and the complex conjugate zeros are the resonant frequencies of a substructure constrained by the sensor and actuator. It is also shown that when the flexible control systems become nonminimum phase, the real zeros are the results of nonpropagation of energy within the substructure.

Discrete Transfer-function Zeros and Step-response Extrema

1993 ◽  
Vol 26 (2) ◽  
pp. 537-542
Author(s):  
M. El-Khoury ◽  
O.D. Crisalle ◽  
R. Longchamp
Keyword(s):  
Transfer Function ◽  
Step Response ◽  
Function Zeros ◽  
Discrete Transfer Function

Modeling and Design Implications of Noncollocated Control in Flexible Systems

1990 ◽  
Vol 112 (2) ◽  
pp. 186-193 ◽  
Author(s):  
V. A. Spector ◽  
H. Flashner
Keyword(s):  
Transfer Function ◽  
Structural Control ◽  
High Sensitivity ◽  
Wave Number ◽  
Model Parameters ◽  
Generic Properties ◽  
Distributed Sensors ◽  
Function Zeros ◽  
Euler Bernoulli Beam ◽  
Qualitative Characteristics

In this paper we investigate generic properties of structural modeling pertinent to structural control, with emphasis on noncollocated systems. Analysis is performed on a representative example of a pinned-free Euler-Bernoulli beam with distributed sensors. Analysis in the wave number plane highlights the crucial qualitative characteristics common to all structural systems. High sensitivity of the transfer function zeros to errors in model parameters and sensor locations is demonstrated. The existence of finite right half plane zeros in noncollocated systems, along with this high sensitivity, further complicates noncollocated controls design. A numerical method for accurate computation of the transfer function zeros is proposed. Wiener-Hopf factorization is used to compute equivalent delay time, which is important in controls design.

Localization of Structural Flaws using Cross Transfer Function Zeros

1992 ◽  
Vol 25 (22) ◽  
pp. 445-450
Author(s):  
G.D. Shepard ◽  
J.A. Lepanto
Keyword(s):  
Transfer Function ◽  
Function Zeros
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