Title :
Robustness with real parametric and structured complex uncertainty
Author :
Pena, Ricardo S Sánchez ; Sideris, Athanasios
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
The problem of robust stability and performance in feedback control systems with n real (possibly related) uncertain parameters and structured unmodeled dynamics (the latter taking the form of m complex blocks dynamic uncertainties) is considered. A robustness margin rm is defined with respect to such model uncertainty structure and an algorithm is developed to compute it. Robust stability and performance are characterized in terms of rm or the structured singular value μm. An iterative procedure using the above algorithm is given to compute tight bounds on km and μm . These bounds are exact for the case m⩽3
Keywords :
feedback; iterative methods; stability; feedback control systems; model uncertainty structure; robust stability; robustness margin; structured unmodeled dynamics; uncertain parameters; Control system analysis; Feedback control; Frequency; Iterative algorithms; Performance analysis; Polynomials; Robust stability; Robustness; Stability analysis; Uncertainty;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194368