Effects of Time Quantization and Noise in Level Crossing Sampling Stabilization

JULIO BRASLAVSKY,; ERNESTO KOFMAN; FLAVIA FELICIONI,

Buenos Aires

Congreso; Congreso Argentino de Control Automático; 2006

A recent paper introduced a level crossing sampling (LCS) scheme that producessamples as triggered by the crossing of the system output through its quantization levels.That paper also proposed an LCS control strategy, by which an open loop unstable systemcan be stabilized using feedback over error and delay free binary communication channels.Assuming exact knowledge of the sampling times and output measurements, such LCScontrol strategy drives the system state to the origin in finite time. The present paper relaxesthese assumptions and shows, for scalar systems, that although finite-time stabilization is nolonger possible, practical stability can be achieved. Expressions for ultimate error bounds andconditions for closed-loop stability are given.