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...

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Qiang Ling, Michael D. Lemmon, Hai Lin
• Keywords: CDC 2009, Control Systems, Feedforward Nonlinear System, Ndimensional Quantized Feedforward, Single Bit