Title :
Robustness analysis for MIMO systems with unstructured uncertainties
Author :
Son, Jung E. ; Mani, Arun S. ; Latchman, Haniph A.
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of Florida, Gainesville, FL, USA
Abstract :
This paper studies the relationship between the structured singular value and the Nyquist robust stability margin as applied to uncertain MIMO systems. The two stability criteria are evaluated for an open-loop unstable chemical reactor plant that has two inputs and two outputs. This numerical analysis gives an empirical demonstration of the relationship between the two stability margins and further research is targeted towards obtaining an analytical expression for some general classes of uncertainties.
Keywords :
MIMO systems; Nyquist stability; chemical reactors; open loop systems; robust control; singular value decomposition; uncertain systems; MIMO Systems; Nyquist robust stability; numerical analysis; open loop unstable chemical reactor plant; robustness analysis; structured singular value; unstructured uncertainties; Chemical reactors; Eigenvalues and eigenfunctions; MIMO; Matrix decomposition; Numerical analysis; Robust stability; Robustness; Stability criteria; Transfer functions; Uncertainty;
Conference_Titel :
Control and Automation (ICCA), 2010 8th IEEE International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4244-5195-1
Electronic_ISBN :
1948-3449
DOI :
10.1109/ICCA.2010.5524321
