Title :
Robust nonsingularity analysis using linear fractional transformation and its application to stability analysis
Author :
Tseng, Chwan-Lu ; Fong, I-Kong
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
In this paper, a procedure is described for converting a perturbed matrix with mixed unstructured and structured uncertainties to the form of a linear fractional transformation (LFT). Also, a criterion is given for keeping the nonsingularity of the perturbed matrix, provided it is nominally so. Moreover, based on the conversion method and criterion, explicit bounds on the time-varying uncertainties in continuous-time and discrete-time systems are derived for robust stability
Keywords :
control system analysis; robust control; continuous-time systems; discrete-time systems; linear fractional transformation; perturbed matrix; robust nonsingularity analysis; robust stability; stability analysis; structured uncertainties; time-varying uncertainties; unstructured uncertainties; Artificial intelligence; Matrix converters; Polynomials; Robust stability; Robustness; Stability analysis; Uncertainty;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410988
