N2 - The paper presents a simple, systematic and novel graphical method which uses computer graphics for prediction of limit cycles in two dimensional multivariable nonlinear system having
rectangular hysteresis and backlash type nonlinearities. It also explores the avoidance of such self-sustained oscillations by determining the stability boundary of the system. The stability
boundary is obtained using simple Routh Hurwitz criterion and the incremental input describing function, developed from harmonic balance concept. This may be useful in interconnected
power system which utilizes governor control. If the avoidance of limit cycle or a safer operating zone is not possible, the quenching of such oscillations may be done by using the signal stabilization
technique which is also described. The synchronization boundary is laid down in the forcing signal amplitudes plane using digital simulation. Results of digital simulations illustrate
accuracy of the method for 2×2 systems.
JO - Archives of Control Sciences
L1 - http://journals.pan.pl/Content/107684/PDF/7_Patra_ACS-2018%282%29-7.pdf
L2 - http://journals.pan.pl/Content/107684
IS - No 2
KW - describing function
KW - dither signal
KW - incremental input describing function
KW - limitcycles
KW - signal stabilization
KW - stability boundary
ER -
A1 - Patra, K.C.
A1 - Dakua, B.K.
PB - Committee of Automatic Control and Robotics PAS
VL - vol. 28
JF - Archives of Control Sciences
T1 - Investigation of limit cycles and signal stabilization of two dimensional systems with memory type nonlinear elements
UR - http://journals.pan.pl/dlibra/docmetadata?id=107684
DOI - 10.24425/123461