Title :
Some chaotic consequences of quantization in digital filters and digital control systems
Author :
Delchamps, David F.
Author_Institution :
Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA
Abstract :
Consideration is given to the closed-loop behavior of a feedback system that has an analog forward path and a measurement quantizer in the feedback loop. The author treats the measurement quantizer as a deterministic memoryless nonlinearity rather than as an entity that has a noise measurement as its output. The asymptotic properties of the feedback system turn out to be quite different from those that a signal-plus-noise analysis would predict. For a wide range of system parameter values, the closed-loop system behaves chaotically; in these cases, it is possible to characterize the chaos statistically in terms of an ergodic probability measure on the system´s state space that is preserved by the closed-loop dynamics
Keywords :
chaos; closed loop systems; digital control; digital filters; error statistics; feedback; noise; probability; state-space methods; analog forward path; asymptotic properties; chaotic closed-loop system behaviour; closed-loop behavior; closed-loop dynamics; deterministic memoryless nonlinearity; digital control systems; digital filters; ergodic probability measure; feedback loop; feedback system; measurement quantizer; signal-plus-noise analysis; statistically characterised chaos; system parameter value range; system state space; Chaos; Chaotic communication; Digital control; Digital filters; Digital systems; Feedback control; Feedback loop; Quantization; Signal analysis; State-space methods;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100424
