Quadratically Parameterized Root Locus Analysis

2014 ◽  
Vol 59 (7) ◽  
pp. 1803-1817 ◽  
Author(s):  
Brandon J. Wellman ◽  
Jesse B. Hoagg
1959 ◽  
Vol 26 (2) ◽  
pp. 205-209
Author(s):  
R. H. Cannon

Abstract When a feedback system is devised to control a mechanical member that is structurally limber, unstable (“self-excited”) vibrations may be encountered at approximately a natural frequency of the structural member. Cures are generally easy to effect once the phenomena are understood. Two interesting cases are described: ground vibrations of an airplane control system due to a limber fuselage, and vibrations of a stable platform system due to limberness in the platform structure. The investigations are carried out using the root-locus technique, which provides a plot of system characteristics as explicit functions of control strength. In the case of the stable platform, the analysis is found to be more reliable than physical intuition.


2009 ◽  
Vol 14 (1) ◽  
pp. 17-23 ◽  
Author(s):  
Élcio Precioso de Paiva ◽  
João Batista Vieira Júnior ◽  
Luiz Carlos de Freitas ◽  
Valdeir José Farias ◽  
Ernane Antônio Alves Coelho

Enfoque UTE ◽  
2018 ◽  
Vol 9 (4) ◽  
pp. 69-76
Author(s):  
Moisés Ríos Flores ◽  
J.F. Marquez-Rubio ◽  
B. Del Muro-Cuellar ◽  
E. Aranda-Bricaire

For finite dimensional linear system the root-locus method is well established however for the case of delayed systems the method has some problems due to the transcendental term involved. This work intends to illustrate the problems that arises when a root-locus diagram is performed as well as to develop a Matlab function that provides the root-locus diagram for delayed low order systems. In this way, some comments about the problems that should be tackled to obtain a generalization of the computational method for delayed systems with real m poles and n zeros


2001 ◽  
Author(s):  
Perry Y. Li

Abstract In this paper, the dynamic performance of an unconventional two-spool flow control servo valve using a pressure control pilot is analyzed. Such valves are less expensive than typical servo-valves but also tend to be limited in their dynamic performance. Based on a previously developed eight state nonlinear model, we develop a simplified linear model which is able to capture the essential dynamics of the valve. Using root locus analysis method, the limitation in dynamic performance is shown to be due to a “zero” introduced by the structure of the interconnection of the subsystems. Design parameters that move the “zero” further to the left half plane, and do not adversely affect other steady state criteria are identified. The effectiveness of these parameters to improve the dynamic performance is demonstrated.


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