Sciweavers

CDC
2009
IEEE

Stabilize an n-dimensional quantized nonlinear feedforward system with 1 bit

13 years 7 months ago
Stabilize an n-dimensional quantized nonlinear feedforward system with 1 bit
Abstract-- This paper studies the stabilizability of an ndimensional quantized feedforward nonlinear system. The state of that system is first quantized into a finite number of bits, then sent through a digital network to the controller. In order to save network bandwidth, people pursue as less quantization bits as possible to maintain stability of such a system. In DePersis' paper [1], n bits are used to stabilize the n-dimensional system by assigning one bit for each state variable (dimension). This paper extends that result by stabilizing the whole system with a single bit under the same assumptions. Its key contribution is a dynamic quantization policy which dynamically assigns the single bit to the most "important" state variable. Under this policy, the quantization error exponentially converges to 0 and the asymptotic stability of the system can, therefore, be guaranteed. Because 1 bit is the smallest bit number in each packet, the new policy achieves the minimum s...
Qiang Ling, Michael D. Lemmon, Hai Lin
Added 12 Aug 2010
Updated 12 Aug 2010
Type Conference
Year 2009
Where CDC
Authors Qiang Ling, Michael D. Lemmon, Hai Lin
Comments (0)