Title :
Frequency domain criteria for lp-robust stability of continuous linear systems
Author :
Tsypkin, Ya Z. ; Polyak, B.T.
Author_Institution :
Inst. for Control Sci., Acad. of Sci., Moscow, USSR
fDate :
12/1/1991 12:00:00 AM
Abstract :
Necessary and sufficient criteria in the frequency domain for robust stability are given under the assumption that coefficients of a characteristic polynomial belong to a transformed lp-ball. Three cases are considered in detail: p =∞ (interval uncertainty), p=2 (ellipsoidal uncertainty), and p=1 (octahedral uncertainty). It is shown that frequency-domain-stability criteria are efficient when one deals with robust stability problems. The frequency-domain approach considered can be extended to various problems of robust stability
Keywords :
frequency-domain analysis; linear systems; polynomials; stability criteria; characteristic polynomial; continuous linear systems; ellipsoidal uncertainty; frequency domain analysis; frequency-domain-stability criteria; interval uncertainty; lp-robust stability; octahedral uncertainty; transformed lp-ball; Chebyshev approximation; Equations; Frequency domain analysis; Linear systems; Polynomials; Robust stability; Stability analysis; Stability criteria; Sufficient conditions; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
