Title :
Stability robustness bounds for linear uncertain systems-a frequency domain approach
Author :
Luo, J.S. ; Johnson, A.
Author_Institution :
Kramers Lab., Delft Univ. of Technol., Netherlands
Abstract :
Systems described by state-space models but with structured deterministic uncertainties are discussed. First a new sufficient condition is given which improves on the sufficient condition given by T.T. Juang et al. (Int. J. Syst. Sci., vol.18, pp.1363-1376, 1987) for stability robustness of linear continuous-time systems. The result is extended to linear discrete-time systems by presenting a new sufficient condition which improves on the sufficient condition given by Juang et al. (Int. J. Control, vol.46, pp.1547-1556, 1987). Illustrative examples are given to show that it is possible to attain the necessary and sufficient condition of the system stability by searching for the best similarity transformation matrix
Keywords :
discrete time systems; frequency-domain analysis; linear systems; stability; state-space methods; continuous-time systems; discrete-time systems; frequency domain approach; linear uncertain systems; similarity transformation matrix; stability robustness; state-space models; structured deterministic uncertainties; sufficient condition; Asymptotic stability; Eigenvalues and eigenfunctions; Frequency domain analysis; Laboratories; Linear systems; Robust stability; Sufficient conditions; Uncertainty; Upper bound; Vectors;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371304
