Stability Analysis of a Nuclear Reactor Control System with Multiple Transport-Lags and an Asymmetrical Nonlinearity

Limit Cycle Analysis of Nonlinear Multivariable Feedback Control Systems

“…From Fig. 3, one can see that if the value of N,(aJ is less (larger) than 0.585, the roots oei and woj are (not) alternative in sequence and the corresponding system is stable (unstable) (2)(3)(4)(5). Therefore, a stable limit cycle will exist at the stability-boundary where N2(a2) = 0.585.…”

“…The reason is that the system will become stable or unstable when the amplitudes Aj increase or decrease. In other words, if the system becomes stable (unstable) when the amplitudes Aj increase (decrease), a stable limit cycle may exist at the stability boundary (2)(3)(4)(5). N,(a,) are less than the maximal gains (N,,,, and N Zmax) of the nonlinearities N1 and N2 ; e.g.…”

Limit cycle analysis of power systems

“…In this paper, a systematic method based on the stability equation method and the parameter plane method [1,2,[4][5][6] is proposed to predict the existence of limit cycles. Furthermore, from the family of curves on the parameter plane, one can see clearly the loci of limit cycles as well as the different tendencies of influence of parameter variations at different regions.…”