On the L2-stability of a class of nonlinear systems |
| |
Authors: | M.K Sundareshan M.A.L Thathachar |
| |
Affiliation: | Department of Electrical Engineering, Indian Institute of Science, Bangalore-12, India |
| |
Abstract: | Sufficient conditions are given for the L2-stability of a class of feedback systems consisting of a linear operator G and a nonlinear gain function, either odd monotone or restricted by a power-law, in cascade, in a negative feedback loop. The criterion takes the form of a frequency-domain inequality, Re[1 + Z(jω)] G(jω) ? δ > 0 ?ω? (?∞, +∞), where Z(jω) is given by, Z(jω) = β[Y1(jω) + Y2(jω)] + (1 ? β)[Y3(jω) ? Y3(?jω)], with 0 ? β ? 1 and the functions y1(·), y2(·) and y3(·) satisfying the time-domain inequalities, , y2(·) = 0, t > 0 and ? > 0, and , c2 being a constant depending on the order of the power-law restricting the nonlinear function. The criterion is derived using Zames' passive operator theory and is shown to be more general than the existing criteria. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|