Title :
Generalized mixed-μ bounds for real and complex multiple-block uncertainty with internal matrix structure
Author :
Haddad, Wassim M. ; Bernstein, Dennis S. ; Chellaboina, Vijaya-Sekhar
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
New absolute stability results that unify and extend existing structured singular value bounds for mixed uncertainty are developed using the multivariable Nyquist criterion. These bounds generalize prior upper bounds for mixed-μ by permitting the treatment of nondiagonal real uncertain blocks as well as accounting for internal matrix structure in the uncertainty. Several specializations to well known absolute stability criteria from the classical literature are given which allows for a systematic comparison of these results in addressing the problem of robust stability for real parameter uncertainty
Keywords :
absolute stability; matrix algebra; multivariable systems; robust control; stability criteria; uncertain systems; absolute stability; complex multiple-block uncertainty; generalized mixed-μ bounds; internal matrix structure; mixed uncertainty; multivariable Nyquist criterion; nondiagonal real uncertain blocks; real multiple-block uncertainty; real parameter uncertainty; robust stability; structured singular value bounds; upper bounds; Aerospace engineering; Lyapunov method; Performance analysis; Robust stability; Robustness; Stability criteria; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532370