Title :
Analysis and applications of robust nonsingularity problem using the structured singular value
Author :
Tseng, Chwan-Lu ; Fong, I-Kong ; Su, Juing-Huei
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
fDate :
10/1/1994 12:00:00 AM
Abstract :
This note uses the structured singular value technique to solve the robust nonsingularity analysis problem for matrices with unstructured and/or quadratically coupled structured uncertainties. With the ready μ-analysis tools, a new approach is proposed for finding a set of uncertainties within which the perturbed matrix keeps nonsingularity. Applications and examples in robust control theory are given to show the usefulness and the practicality of the proposed approach
Keywords :
control system analysis; matrix algebra; stability; μ-analysis tools; matrices; quadratically coupled structured uncertainties; robust nonsingularity analysis; structured singular value; unstructured uncertainties; Algorithm design and analysis; Asymptotic stability; Councils; Eigenvalues and eigenfunctions; Matrix converters; Polynomials; Robust control; Robust stability; Robustness; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
