Open AccessRobust pole placement for second‐order linear systems using velocity‐plus‐acceleration feedback
Author(s) -
S. Abdelaziz Taha Helmy
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0039
Subject(s) - acceleration , control theory (sociology) , robustness (evolution) , parametric statistics , eigenvalues and eigenvectors , linear system , transformation (genetics) , mathematics , computer science , mathematical analysis , artificial intelligence , control (management) , physics , classical mechanics , biochemistry , chemistry , statistics , quantum mechanics , gene
This paper considers the robust pole assignment problem using combined velocity and acceleration feedbacks for matrix second‐order linear systems. The necessary and sufficient conditions which ensure solvability are derived. Based on recently developed parametric solution to the eigenstructure assignment problem by velocity‐plus‐acceleration feedback, a new technique is described to perform robust pole placement for second‐order systems. The available degrees‐of‐freedom offered by the velocity‐plus‐acceleration feedback in selecting the associated eigenvectors are utilised to improve robustness of the closed‐loop system. The main advantage of the described approach is that the problem is tackled in the second‐order form without transformation into the first‐order form. Finally, several examples are introduced to demonstrate the effectiveness of the proposed approach.