×

Synthesis and analysis of a feedback control system. (English) Zbl 0802.93019

For detection of the modulating signals \(x_ 1\) and \(x_ 2\) in the frequency modulated and multiplicatively coupled signal \(v(t)= A_ 1\cdot\sin(\omega_ 1 t+ x_ 1(t))\cdot A_ 2\cdot\sin(\omega_ 2 t+ x_ 2(t))\), a cross-coupled phase-locked loop with multiplication, abbreviated \(CCPLL(M)\), is proposed. In the paper, for a first-order loop the global structural stability analysis is carried out, and the acquisition and synchronization regions are obtained. For the second- order loop, the synchronization region is calculated, too.

MSC:

93B50 Synthesis problems
93B52 Feedback control
94A14 Modulation and demodulation in information and communication theory
93C10 Nonlinear systems in control theory
93D15 Stabilization of systems by feedback
PDFBibTeX XMLCite